{"id":283,"date":"2023-08-03T02:21:11","date_gmt":"2023-08-03T02:21:11","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d1%80%d0%be%d0%b7%d0%bf%d0%be%d0%b4%d1%96%d0%bb-%d0%b2%d0%b8%d0%b1%d1%96%d1%80%d0%ba%d0%b8-1\/"},"modified":"2023-08-03T02:21:11","modified_gmt":"2023-08-03T02:21:11","slug":"%d1%80%d0%be%d0%b7%d0%bf%d0%be%d0%b4%d1%96%d0%bb-%d0%b2%d0%b8%d0%b1%d1%96%d1%80%d0%ba%d0%b8-1","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d1%80%d0%be%d0%b7%d0%bf%d0%be%d0%b4%d1%96%d0%bb-%d0%b2%d0%b8%d0%b1%d1%96%d1%80%d0%ba%d0%b8-1\/","title":{"rendered":"\u0420\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u0431\u0456\u0440\u043a\u0438"},"content":{"rendered":"<p>\u0423 \u0446\u0456\u0439 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u043e\u044f\u0441\u043d\u044e\u0454\u0442\u044c\u0441\u044f, \u0449\u043e \u0442\u0430\u043a\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u0442\u0430 \u0434\u043b\u044f \u0447\u043e\u0433\u043e \u0432\u0456\u043d \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f. \u041e\u0442\u0436\u0435, \u0432\u0438 \u0437\u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443, \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0442\u0430, \u043a\u0440\u0456\u043c \u0442\u043e\u0433\u043e, \u0444\u043e\u0440\u043c\u0443\u043b\u0438 \u0434\u043b\u044f \u043d\u0430\u0439\u043f\u043e\u0448\u0438\u0440\u0435\u043d\u0456\u0448\u0438\u0445 \u0442\u0438\u043f\u0456\u0432 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-muestral\"><\/span> \u0429\u043e \u0442\u0430\u043a\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u0431\u0456\u0440\u043a\u0438?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b<\/strong> \u0430\u0431\u043e <strong>\u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b<\/strong> \u2014 \u0446\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b, \u044f\u043a\u0438\u0439 \u0454 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u0440\u043e\u0437\u0433\u043b\u044f\u0434\u0443 \u0432\u0441\u0456\u0445 \u043c\u043e\u0436\u043b\u0438\u0432\u0438\u0445 \u0432\u0438\u0431\u0456\u0440\u043e\u043a \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456. \u0406\u043d\u0448\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u2014 \u0446\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b, \u043e\u0442\u0440\u0438\u043c\u0430\u043d\u0438\u0439 \u0448\u043b\u044f\u0445\u043e\u043c \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0432\u0441\u0456\u0445 \u043c\u043e\u0436\u043b\u0438\u0432\u0438\u0445 \u0432\u0438\u0431\u0456\u0440\u043e\u043a \u0456\u0437 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456.<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043a\u043b\u0430\u0434, \u044f\u043a\u0449\u043e \u043c\u0438 \u0432\u0438\u0442\u044f\u0433\u043d\u0435\u043c\u043e \u0432\u0441\u0456 \u043c\u043e\u0436\u043b\u0438\u0432\u0456 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0437\u0456 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u043e\u0457 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 \u0442\u0430 \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u043c\u043e \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043a\u043e\u0436\u043d\u043e\u0457 \u0432\u0438\u0431\u0456\u0440\u043a\u0438, \u043d\u0430\u0431\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0445 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0443\u0442\u0432\u043e\u0440\u0438\u0442\u044c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u0431\u0456\u0440\u043a\u0438. \u0422\u043e\u0447\u043d\u0456\u0448\u0435, \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0439 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u0454 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u043d\u0438\u043c, \u0432\u0456\u043d \u0454 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u043c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e.<\/p>\n<p> \u0423 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456 \u043d\u0430\u0431\u043b\u0438\u0436\u0435\u043d\u043d\u044f \u0434\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 \u043f\u0440\u0438 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043d\u0456 \u043e\u0434\u043d\u0456\u0454\u0457 \u0432\u0438\u0431\u0456\u0440\u043a\u0438. \u041f\u043e\u0434\u0456\u0431\u043d\u0438\u043c \u0447\u0438\u043d\u043e\u043c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0434\u043e\u0437\u0432\u043e\u043b\u044f\u0454 \u043d\u0430\u043c \u043e\u0446\u0456\u043d\u0438\u0442\u0438 \u043f\u043e\u0445\u0438\u0431\u043a\u0443 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0434\u043b\u044f \u0437\u0430\u0434\u0430\u043d\u043e\u0433\u043e \u0440\u043e\u0437\u043c\u0456\u0440\u0443 \u0432\u0438\u0431\u0456\u0440\u043a\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-distribucion-muestral\"><\/span> \u041f\u0440\u0438\u043a\u043b\u0430\u0434 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0432\u0438\u0431\u0456\u0440\u043a\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0422\u0435\u043f\u0435\u0440, \u043a\u043e\u043b\u0438 \u043c\u0438 \u0437\u043d\u0430\u0454\u043c\u043e \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0432\u0438\u0431\u0456\u0440\u043a\u0438, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u0440\u043e\u0437\u0433\u043b\u044f\u043d\u0435\u043c\u043e \u043f\u0440\u043e\u0441\u0442\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434, \u0449\u043e\u0431 \u043f\u043e\u0432\u043d\u0456\u0441\u0442\u044e \u0437\u0440\u043e\u0437\u0443\u043c\u0456\u0442\u0438 \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0456\u044e.<\/p>\n<ul>\n<li> \u0423 \u044f\u0449\u0438\u043a \u043c\u0438 \u043a\u043b\u0430\u0434\u0435\u043c\u043e \u0442\u0440\u0438 \u043a\u0443\u043b\u0456, \u043d\u0430 \u043a\u043e\u0436\u043d\u0456\u0439 \u0437 \u044f\u043a\u0438\u0445 \u0437\u0430\u043f\u0438\u0441\u0430\u043d\u0435 \u0447\u0438\u0441\u043b\u043e \u0432\u0456\u0434 \u043e\u0434\u043d\u043e\u0433\u043e \u0434\u043e \u0442\u0440\u044c\u043e\u0445, \u0442\u0430\u043a \u0449\u043e \u043e\u0434\u043d\u0430 \u043a\u0443\u043b\u044c\u043a\u0430 \u043c\u0430\u0454 \u043d\u043e\u043c\u0435\u0440 1, \u0456\u043d\u0448\u0430 \u043a\u0443\u043b\u044c\u043a\u0430 \u2014 2, \u0430 \u043e\u0441\u0442\u0430\u043d\u043d\u044f \u2014 3. \u0414\u043b\u044f \u0437\u0440\u0430\u0437\u043a\u0430 \u0440\u043e\u0437\u043c\u0456\u0440\u043e\u043c n = 2, \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u0454 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e, \u044f\u043a\u0449\u043e \u0432\u0456\u0434\u0456\u0431\u0440\u0430\u043d\u043e \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0456\u0437 \u0437\u0430\u043c\u0456\u043d\u043e\u044e.<\/li>\n<\/ul>\n<p> \u0417\u0440\u0430\u0437\u043a\u0438 \u0432\u0456\u0434\u0431\u0438\u0440\u0430\u044e\u0442\u044c\u0441\u044f \u0456\u0437 \u0437\u0430\u043c\u0456\u0449\u0435\u043d\u043d\u044f\u043c, \u0442\u043e\u0431\u0442\u043e \u043a\u0443\u043b\u044c\u043a\u0430, \u0432\u0437\u044f\u0442\u0430 \u0434\u043b\u044f \u0432\u0456\u0434\u0431\u043e\u0440\u0443 \u043f\u0435\u0440\u0448\u043e\u0433\u043e \u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u0437\u0440\u0430\u0437\u043a\u0430, \u043f\u043e\u0432\u0435\u0440\u0442\u0430\u0454\u0442\u044c\u0441\u044f \u0432 \u043a\u043e\u0440\u043e\u0431\u043a\u0443 \u0456 \u043c\u043e\u0436\u0435 \u0431\u0443\u0442\u0438 \u0432\u0456\u0434\u0456\u0431\u0440\u0430\u043d\u0430 \u0437\u043d\u043e\u0432\u0443 \u043f\u0456\u0434 \u0447\u0430\u0441 \u0434\u0440\u0443\u0433\u043e\u0433\u043e \u0432\u0438\u043b\u0443\u0447\u0435\u043d\u043d\u044f. \u041e\u0442\u0436\u0435, \u0432\u0441\u0456 \u043c\u043e\u0436\u043b\u0438\u0432\u0456 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0437 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456:<\/p>\n<p class=\"has-text-align-center\"> 1,1 1,2 1,3<br \/> 2.1 2.2 2.3<br \/> 3.1 3.2 3.3<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u043c\u043e \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u043d\u0435 \u043a\u043e\u0436\u043d\u043e\u0457 \u043c\u043e\u0436\u043b\u0438\u0432\u043e\u0457 \u0432\u0438\u0431\u0456\u0440\u043a\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-36b3a1e0bbb1be6eddc1a5d9899c5643_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{11}=\\cfrac{1+1}{2}=1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"295\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ff446066e6102f75d2d5435ad9dc46d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,2) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{12}=\\cfrac{1+2}{2}=1,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"311\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-904c1ee161fd7214c2c20ef15a038ea2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(1,3) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{13}=\\cfrac{1+3}{2}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"295\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4669b3b3d3ca07f035456cc50110134f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{21}=\\cfrac{2+1}{2}=1,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"311\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9fae1b39671fce31802b9ff66c8c1b9e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2,2) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{22}=\\cfrac{2+2}{2}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"295\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fb036db8580a0d7389daddf6a938c541_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2,3) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{23}=\\cfrac{2+3}{2}=2,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"311\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7b77da5430a43732726cc62fb0fffe78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{31}=\\cfrac{3+1}{2}=2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"295\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5edbfa4f2b8752676ceba5ad0cd34d6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,2) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{32}=\\cfrac{3+2}{2}=2,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"311\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bb60dfff5e3c5c090e019253ee84b198_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(3,3) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\overline{x}_{33}=\\cfrac{3+3}{2}=3\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"296\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u041e\u0442\u0436\u0435, \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456 \u043e\u0442\u0440\u0438\u043c\u0430\u043d\u043d\u044f \u043a\u043e\u0436\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u043f\u0440\u0438 \u0432\u0456\u0434\u0431\u043e\u0440\u0456 \u0432\u0438\u043f\u0430\u0434\u043a\u043e\u0432\u043e\u0457 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0437 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0456: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/table-de-distribution-dechantillonnage.png\" alt=\"\u0437\u0440\u0430\u0437\u043e\u043a \u0442\u0430\u0431\u043b\u0438\u0446\u0456 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\" class=\"wp-image-6145\" width=\"166\" height=\"195\" srcset=\"\" sizes=\"\"><\/figure>\n<p> \u0406\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0432\u0438\u0431\u0456\u0440\u043a\u0438, \u043d\u0430\u0432\u0435\u0434\u0435\u043d\u0456 \u0432 \u0442\u0430\u0431\u043b\u0438\u0446\u0456 \u0432\u0438\u0449\u0435, \u0431\u0443\u043b\u0438 \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0430\u043d\u0456 \u0448\u043b\u044f\u0445\u043e\u043c \u0434\u0456\u043b\u0435\u043d\u043d\u044f \u043a\u0456\u043b\u044c\u043a\u043e\u0441\u0442\u0456 \u0432\u0438\u0431\u0456\u0440\u043e\u043a \u0456\u0437 \u0432\u043a\u0430\u0437\u0430\u043d\u0438\u043c \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c \u043d\u0430 \u0437\u0430\u0433\u0430\u043b\u044c\u043d\u0443 \u043a\u0456\u043b\u044c\u043a\u0456\u0441\u0442\u044c \u043c\u043e\u0436\u043b\u0438\u0432\u0438\u0445 \u0432\u0438\u043f\u0430\u0434\u043a\u0456\u0432. \u041d\u0430\u043f\u0440\u0438\u043a\u043b\u0430\u0434: \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0434\u043e\u0440\u0456\u0432\u043d\u044e\u0454 1,5 \u0443 \u0434\u0432\u043e\u0445 \u0432\u0438\u043f\u0430\u0434\u043a\u0430\u0445 \u0456\u0437 \u0434\u0435\u0432\u2019\u044f\u0442\u0438 \u043c\u043e\u0436\u043b\u0438\u0432\u0438\u0445, \u0442\u043e\u043c\u0443 P(1,5)=2\/9. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-distribuciones-muestrales\"><\/span> \u0412\u0438\u0434\u0438 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0445 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0456\u0432<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0456 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0438 (\u0430\u0431\u043e \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0456 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0438) \u043c\u043e\u0436\u043d\u0430 \u043a\u043b\u0430\u0441\u0438\u0444\u0456\u043a\u0443\u0432\u0430\u0442\u0438 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430 \u0432\u0438\u0431\u0456\u0440\u043a\u0438, \u0437 \u044f\u043a\u043e\u0433\u043e \u0432\u043e\u043d\u0438 \u0431\u0443\u043b\u0438 \u043e\u0442\u0440\u0438\u043c\u0430\u043d\u0456. \u041e\u0442\u0436\u0435, \u043d\u0430\u0439\u043f\u043e\u0448\u0438\u0440\u0435\u043d\u0456\u0448\u0438\u043c\u0438 \u0442\u0438\u043f\u0430\u043c\u0438 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0456\u0432 \u0454:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e<\/strong> : \u0446\u0435 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b, \u044f\u043a\u0438\u0439 \u0454 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0430\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u043a\u043e\u0436\u043d\u043e\u0433\u043e \u0437\u0440\u0430\u0437\u043a\u0430.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u041f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0439\u043d\u0438\u0439 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b<\/strong> : \u0446\u0435 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b, \u043e\u0442\u0440\u0438\u043c\u0430\u043d\u0438\u0439 \u0448\u043b\u044f\u0445\u043e\u043c \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0447\u0430\u0441\u0442\u043a\u0438 \u0432\u0441\u0456\u0445 \u0432\u0438\u0431\u0456\u0440\u043e\u043a.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0457<\/strong> : \u0446\u0435 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b, \u044f\u043a\u0438\u0439 \u0443\u0442\u0432\u043e\u0440\u044e\u0454 \u043d\u0430\u0431\u0456\u0440 \u0443\u0441\u0456\u0445 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0439 \u0443 \u0432\u0438\u0431\u0456\u0440\u0446\u0456.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0420\u0456\u0437\u043d\u0438\u0446\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443<\/strong> : \u0446\u0435 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b, \u044f\u043a\u0438\u0439 \u0454 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u043c\u0456\u0436 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c\u0438 \u0432\u0441\u0456\u0445 \u043c\u043e\u0436\u043b\u0438\u0432\u0438\u0445 \u0432\u0438\u0431\u0456\u0440\u043e\u043a \u0456\u0437 \u0434\u0432\u043e\u0445 \u0440\u0456\u0437\u043d\u0438\u0445 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0435\u0439.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0420\u0456\u0437\u043d\u0438\u0446\u044f \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445. \u0420\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u0431\u0456\u0440\u043a\u0438<\/strong> : \u0446\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u0431\u0456\u0440\u043a\u0438, \u043e\u0442\u0440\u0438\u043c\u0430\u043d\u0438\u0439 \u0448\u043b\u044f\u0445\u043e\u043c \u0432\u0456\u0434\u043d\u0456\u043c\u0430\u043d\u043d\u044f \u0432\u0441\u0456\u0445 \u043c\u043e\u0436\u043b\u0438\u0432\u0438\u0445 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0439 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0437 \u0434\u0432\u043e\u0445 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0435\u0439.<\/span><\/li>\n<\/ul>\n<p> \u041a\u043e\u0436\u0435\u043d \u0442\u0438\u043f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u043f\u043e\u044f\u0441\u043d\u044e\u0454\u0442\u044c\u0441\u044f \u0431\u0456\u043b\u044c\u0448 \u0434\u0435\u0442\u0430\u043b\u044c\u043d\u043e \u043d\u0438\u0436\u0447\u0435. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-la-media\"><\/span> \u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0414\u0430\u043d\u043e \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u0443 \u0441\u0443\u043a\u0443\u043f\u043d\u0456\u0441\u0442\u044c, \u044f\u043a\u0430 \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u0430\u0454 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439 \u0456\u0437 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0456 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0456 \u0432\u0438\u0442\u044f\u0433\u0443\u044e\u0442\u044c\u0441\u044f \u0437\u0440\u0430\u0437\u043a\u0438 \u0440\u043e\u0437\u043c\u0456\u0440\u0443<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> , \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0442\u0430\u043a\u043e\u0436 \u0431\u0443\u0434\u0435 \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u0438\u043c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c, \u0449\u043e \u043c\u0430\u0454 \u0442\u0430\u043a\u0456 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-44571aa7337b095ab9c9fa1f746e93a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\mu_{\\overline{x}}=\\mu \\qquad \\sigma_{\\overline{x}}=\\cfrac{\\sigma}{\\sqrt{n}}\\\\[4ex]\\displaystyle N_{\\overline{x}}\\left(\\mu, \\frac{\\sigma}{\\sqrt{n}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"159\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0437\u043e\u043b\u043e\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8ed084decbdfb365889aae767cf63e81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_{\\overline{x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"20\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0454 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u0430<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9067e28d896c7e5278763081c6cc40d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_{\\overline{x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"19\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0454 \u0439\u043e\u0433\u043e \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u043c \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f\u043c. \u041a\u0440\u0456\u043c \u0442\u043e\u0433\u043e,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7d78e2a2f2fae99a53eb087263cbb478_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\sigma}{\\sqrt{n}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"26\" style=\"vertical-align: -16px;\"><\/p>\n<p> \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0430 \u043f\u043e\u043c\u0438\u043b\u043a\u0430 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0432\u0438\u0431\u0456\u0440\u043a\u0438.<\/p>\n<p> <strong>\u041f\u0440\u0438\u043c\u0456\u0442\u043a\u0430.<\/strong> \u042f\u043a\u0449\u043e \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u0430 \u0441\u0443\u043a\u0443\u043f\u043d\u0456\u0441\u0442\u044c \u043d\u0435 \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u0430\u0454 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443, \u0430\u043b\u0435 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0454 \u0432\u0435\u043b\u0438\u043a\u0438\u043c (n&gt;30), \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0442\u0430\u043a\u043e\u0436 \u043c\u043e\u0436\u043d\u0430 \u043d\u0430\u0431\u043b\u0438\u0437\u0438\u0442\u0438 \u0434\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0432\u0438\u0449\u0435 \u0437\u0430 \u043c\u0435\u0436\u0435\u044e \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u043e\u0457 \u0442\u0435\u043e\u0440\u0435\u043c\u0438.<\/p>\n<p> \u041e\u0442\u0436\u0435, \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u0430\u0454 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443, <strong>\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0431\u0443\u0434\u044c-\u044f\u043a\u043e\u0457 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456, \u043f\u043e\u0432\u2019\u044f\u0437\u0430\u043d\u043e\u0457 \u0437 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u043c<\/strong> \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c, \u043c\u0430\u0454 \u0432\u0438\u0433\u043b\u044f\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ecd8bcb78b739c50d01b8bad563e5cb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{\\overline{x}-\\mu}{\\displaystyle\\frac{\\sigma}{\\sqrt{n}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"58\" width=\"81\" style=\"vertical-align: -34px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0437\u043e\u043b\u043e\u0442\u043e: <\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0446\u0435 \u0437\u0440\u0430\u0437\u043e\u043a \u0437\u0430\u0441\u043e\u0431\u0456\u0432.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0426\u0435 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0439 \u043f\u043e\u043a\u0430\u0437\u043d\u0438\u043a \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044f.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0446\u0435 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0454 \u0437\u043c\u0456\u043d\u043d\u043e\u044e, \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043e\u044e \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u043c \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u0438\u043c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c N(0,1). <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0414\u0438\u0432.:<\/strong> <a href=\"https:\/\/statorials.org\/uk\/\u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0438-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b-\u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e\/\">\u0420\u043e\u0437\u0432\u2019\u044f\u0437\u0430\u043d\u0430 \u0432\u043f\u0440\u0430\u0432\u0430 \u043d\u0430 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-la-proporcion\"><\/span> \u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0447\u0430\u0441\u0442\u043a\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0424\u0430\u043a\u0442\u0438\u0447\u043d\u043e, \u043a\u043e\u043b\u0438 \u043c\u0438 \u0432\u0438\u0432\u0447\u0430\u0454\u043c\u043e \u0447\u0430\u0441\u0442\u043a\u0443 \u0432\u0438\u0431\u0456\u0440\u043a\u0438, \u043c\u0438 \u0430\u043d\u0430\u043b\u0456\u0437\u0443\u0454\u043c\u043e \u0432\u0438\u043f\u0430\u0434\u043a\u0438 \u0443\u0441\u043f\u0456\u0445\u0443. \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u0432\u0438\u043f\u0430\u0434\u043a\u043e\u0432\u0430 \u0437\u043c\u0456\u043d\u043d\u0430 \u0432 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043d\u0456 \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u0430\u0454 \u0431\u0456\u043d\u043e\u043c\u0456\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439.<\/p>\n<p> \u0412\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u043d\u043e \u0434\u043e \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u043e\u0457 \u0433\u0440\u0430\u043d\u0438\u0447\u043d\u043e\u0457 \u0442\u0435\u043e\u0440\u0435\u043c\u0438, \u0434\u043b\u044f \u0432\u0435\u043b\u0438\u043a\u0438\u0445 \u0440\u043e\u0437\u043c\u0456\u0440\u0456\u0432 (n&gt;30) \u043c\u0438 \u043c\u043e\u0436\u0435\u043c\u043e \u043d\u0430\u0431\u043b\u0438\u0437\u0438\u0442\u0438 \u0431\u0456\u043d\u043e\u043c\u0456\u0430\u043b\u044c\u043d\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0434\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e. \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, <strong>\u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0447\u0430\u0441\u0442\u043a\u0438 \u043d\u0430\u0431\u043b\u0438\u0436\u0430\u0454\u0442\u044c\u0441\u044f \u0434\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0437 \u0442\u0430\u043a\u0438\u043c\u0438 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f3408076893f390bb65baecfe38e6eff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\mu_{p}=p \\qquad \\sigma_{p}=\\sqrt{\\frac{pq}{n}}\\\\[4ex]\\displaystyle N_{p}\\left(p, \\sqrt{\\frac{pq}{n}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"109\" width=\"168\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0437\u043e\u043b\u043e\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5faad0904f612a3fa5b27faafb8dc903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0443\u0441\u043f\u0456\u0445\u0443 \u0456<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-420eca7b6df080cc5f01773d1978f44a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u043d\u0435\u0432\u0434\u0430\u0447\u0456<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e1d214c21abe0d79fa453d635a025865_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q=1-p\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"72\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/p>\n<p> <strong>\u041f\u0440\u0438\u043c\u0456\u0442\u043a\u0430.<\/strong> \u0411\u0456\u043d\u043e\u043c\u0456\u0430\u043b\u044c\u043d\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u043c\u043e\u0436\u043d\u0430 \u043d\u0430\u0431\u043b\u0438\u0437\u0438\u0442\u0438 \u0434\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e, \u043b\u0438\u0448\u0435 \u044f\u043a\u0449\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-88e275a965c091eb810599a07b0f8d46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n>30&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;14&#8243; width=&#8221;52&#8243; style=&#8221;vertical-align: -2px;&#8221;><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-41130f51ca4b83f1bf25b9dde90ecbfd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"np\\ge 5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"51\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0406<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0af2ac5b6eb874f65b406b3bc39f0c7d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"nq\\ge 5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"51\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/p>\n<p> \u041e\u0442\u0436\u0435, \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0447\u0430\u0441\u0442\u043a\u0438 \u043c\u043e\u0436\u043d\u0430 \u043d\u0430\u0431\u043b\u0438\u0437\u0438\u0442\u0438 \u0434\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443, <strong>\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0431\u0443\u0434\u044c-\u044f\u043a\u043e\u0457 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456, \u043f\u043e\u0432\u2019\u044f\u0437\u0430\u043d\u043e\u0457 \u0437 \u0447\u0430\u0441\u0442\u043a\u043e\u044e \u0432\u0438\u0431\u0456\u0440\u043a\u0438,<\/strong> \u043c\u0430\u0454 \u0432\u0438\u0433\u043b\u044f\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5b7a4224240587268d0dd7865a33ac31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{\\widehat{p}-p}{\\displaystyle\\sqrt{\\frac{pq}{n}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"78\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0437\u043e\u043b\u043e\u0442\u043e: <\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ecd29d136a62fc6b274e1181e064e20e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0454 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0454\u044e \u0437\u0440\u0430\u0437\u043a\u0430.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5faad0904f612a3fa5b27faafb8dc903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0447\u0430\u0441\u0442\u043a\u0430 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044f.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-420eca7b6df080cc5f01773d1978f44a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0432\u0456\u0434\u043c\u043e\u0432\u0438 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0456\u0457,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e1d214c21abe0d79fa453d635a025865_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q=1-p\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"72\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0446\u0435 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0454 \u0437\u043c\u0456\u043d\u043d\u043e\u044e, \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043e\u044e \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u043c \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u0438\u043c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c N(0,1). <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0414\u0438\u0432.:<\/strong> <a href=\"https:\/\/statorials.org\/uk\/\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b-\u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0456-\u0432\u0438\u0431\u0456\u0440\u043a\u0438\/\">\u0420\u043e\u0437\u0432\u2019\u044f\u0437\u0430\u043d\u0430 \u0432\u043f\u0440\u0430\u0432\u0430 \u043d\u0430 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0457<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-la-varianza\"><\/span> \u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0457<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0457 \u0432\u0438\u0437\u043d\u0430\u0447\u0430\u0454\u0442\u044c\u0441\u044f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456 \u0445\u0456-\u043a\u0432\u0430\u0434\u0440\u0430\u0442. \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, <strong>\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0457<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0437\u043e\u043b\u043e\u0442\u043e:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-984dc78529fc235b078a9f3b62d0f0c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0454 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u043e\u044e \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0457, \u044f\u043a\u0430 \u0441\u043b\u0456\u0434\u0443\u0454 \u0437\u0430 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c \u0445\u0456-\u043a\u0432\u0430\u0434\u0440\u0430\u0442.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0446\u0435 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ab572e85f9cb7cb6f495387f2a6ab0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u0432\u0438\u0431\u0456\u0440\u043a\u0438.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c6d52162ef1ec2e8130fb00687aca707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0454 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456. <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0414\u0438\u0432.:<\/strong> <a href=\"https:\/\/statorials.org\/uk\/\u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0438\u043d\u0438\u0438-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b-\u0432\u0438\u0431\u0456\u0440\u043a\u0438\/\">\u0420\u043e\u0437\u0432\u2019\u044f\u0437\u0430\u043d\u0430 \u0432\u043f\u0440\u0430\u0432\u0430 \u043d\u0430 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0457<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-la-diferencia-de-medias\"><\/span> \u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u042f\u043a\u0449\u043e \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0434\u043e\u0441\u0442\u0430\u0442\u043d\u044c\u043e \u0432\u0435\u043b\u0438\u043a\u0438\u0439 (n <sub>1<\/sub> \u226530 \u0456 n <sub>2<\/sub> \u226530), \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0457 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u0430\u0454 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443. \u0422\u043e\u0447\u043d\u0456\u0448\u0435, \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438 \u0437\u0430\u0437\u043d\u0430\u0447\u0435\u043d\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u044e\u0442\u044c\u0441\u044f \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u043c \u0447\u0438\u043d\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-90c67b74b4e9326b7869d641a59725d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle \\mu_{\\overline{x_1}-\\overline{x_2}}=\\mu_1-\\mu_2 \\qquad \\sigma_{\\overline{x_1}-\\overline{x_2}}=\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}\\\\[6ex]\\displaystyle N_{\\overline{x_1}-\\overline{x_2}}\\left(\\mu_1-\\mu_2, \\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"151\" width=\"328\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong>\u041f\u0440\u0438\u043c\u0456\u0442\u043a\u0430.<\/strong> \u042f\u043a\u0449\u043e \u043e\u0431\u0438\u0434\u0432\u0456 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u0456 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 \u0454 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u0438\u043c\u0438 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0430\u043c\u0438, \u0442\u043e\u0434\u0456 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u0430\u0454 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u043d\u0435\u0437\u0430\u043b\u0435\u0436\u043d\u043e \u0432\u0456\u0434 \u0440\u043e\u0437\u043c\u0456\u0440\u0456\u0432 \u0432\u0438\u0431\u0456\u0440\u043a\u0438.<\/p>\n<p> \u041e\u0442\u0436\u0435, \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0432\u0438\u0437\u043d\u0430\u0447\u0430\u0454\u0442\u044c\u0441\u044f \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u0438\u043c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c, <strong>\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u043d\u043a\u0443 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0440\u0456\u0437\u043d\u0438\u0446\u0456<\/strong> \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u043c\u0430\u0454 \u0432\u0438\u0433\u043b\u044f\u0434:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-767964a3f07b303178ee08ec191eef43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{(\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"80\" width=\"203\" style=\"vertical-align: -52px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0437\u043e\u043b\u043e\u0442\u043e: <\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a4071a38558726a684ed069430c89fe2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0454 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c \u0432\u0438\u0431\u0456\u0440\u043a\u0438 i.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-78e04dacbf6a47efcbdcc0417020dcbb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044f i.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dc8c8f782c0ed8b7925012b60e174fa3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0454 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u043c \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f\u043c \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 i.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0446\u0435 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 i.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0454 \u0437\u043c\u0456\u043d\u043d\u043e\u044e, \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043e\u044e \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u043c \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u0438\u043c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c N(0,1).<\/li>\n<\/ul>\n<p> \u0417\u0430\u0443\u0432\u0430\u0436\u0442\u0435, \u0449\u043e \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0437 \u0440\u0456\u0437\u043d\u0438\u0445 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0435\u0439 \u043c\u043e\u0436\u0443\u0442\u044c \u043c\u0430\u0442\u0438 \u0440\u0456\u0437\u043d\u0456 \u0440\u043e\u0437\u043c\u0456\u0440\u0438 \u0432\u0438\u0431\u0456\u0440\u043a\u0438. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0414\u0438\u0432.:<\/strong> <a href=\"https:\/\/statorials.org\/uk\/\u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0438-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b-\u0440\u0456\u0437\u043d\u0438\u0446\u0456-\u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445\/\">\u0420\u043e\u0437\u0432\u2019\u044f\u0437\u0430\u043d\u0430 \u0432\u043f\u0440\u0430\u0432\u0430 \u043d\u0430 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-muestral-de-la-diferencia-de-proporciones\"><\/span> \u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0412\u0438\u0431\u0456\u0440\u043a\u0438, \u0432\u0456\u0434\u0456\u0431\u0440\u0430\u043d\u0456 \u0434\u043b\u044f \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u044c \u0443 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445, \u0432\u0438\u0437\u043d\u0430\u0447\u0430\u044e\u0442\u044c\u0441\u044f \u0431\u0456\u043d\u043e\u043c\u0456\u0430\u043b\u044c\u043d\u0438\u043c\u0438 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0430\u043c\u0438, \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u0434\u043b\u044f \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u043d\u0438\u0445 \u0446\u0456\u043b\u0435\u0439 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f \u0454 \u0432\u0456\u0434\u043d\u043e\u0448\u0435\u043d\u043d\u044f\u043c \u0443\u0441\u043f\u0456\u0448\u043d\u0438\u0445 \u0432\u0438\u043f\u0430\u0434\u043a\u0456\u0432 \u0434\u043e \u0437\u0430\u0433\u0430\u043b\u044c\u043d\u043e\u0457 \u043a\u0456\u043b\u044c\u043a\u043e\u0441\u0442\u0456 \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0435\u0436\u0435\u043d\u044c.<\/p>\n<p> \u041e\u0434\u043d\u0430\u043a \u0437\u0430\u0432\u0434\u044f\u043a\u0438 \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u0456\u0439 \u0433\u0440\u0430\u043d\u0438\u0447\u043d\u0456\u0439 \u0442\u0435\u043e\u0440\u0435\u043c\u0456 \u0431\u0456\u043d\u043e\u043c\u0456\u0430\u043b\u044c\u043d\u0456 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0438 \u043c\u043e\u0436\u0443\u0442\u044c \u0431\u0443\u0442\u0438 \u043d\u0430\u0431\u043b\u0438\u0436\u0435\u043d\u0456 \u0434\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u0438\u0445 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0456\u0432 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0435\u0439. \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445 \u043c\u043e\u0436\u0435 \u0431\u0443\u0442\u0438 \u043d\u0430\u0431\u043b\u0438\u0436\u0435\u043d\u043e \u0434\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0437 \u0442\u0430\u043a\u0438\u043c\u0438 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0430\u043c\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a1ce359b5dd6d80f8d27b0b9a1034bed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\mu_{\\widehat{p_1}-\\widehat{p_2}}=p_1-p_2 \\qquad \\sigma_{\\widehat{p_1}-\\widehat{p_2}}=\\sqrt{\\frac{p_1q_1}{n_1}+\\frac{p_2q_2}{n_2}}\\\\[6ex]\\displaystyle N_{p}\\left(p_1-p_2, \\sqrt{\\frac{p_1q_1}{n_1}+\\frac{p_2q_2}{n_2}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"122\" width=\"348\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> <strong>\u041f\u0440\u0438\u043c\u0456\u0442\u043a\u0430.<\/strong> \u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445 \u043c\u043e\u0436\u043d\u0430 \u043d\u0430\u0431\u043b\u0438\u0437\u0438\u0442\u0438 \u0434\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443, \u043b\u0438\u0448\u0435 \u044f\u043a\u0449\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6a7ebccb76a4ee9bbf44bb0f41ffee53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\\geq30\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"60\" style=\"vertical-align: -3px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-93c3febf2679c77d41d7b319e262f298_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\\geq 30\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"60\" style=\"vertical-align: -3px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-19a35b2095afa5133c32d92de163adaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1p_1\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"67\" style=\"vertical-align: -4px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a89c44bd89266e2fba37bf5211a6e30e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2p_2\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"67\" style=\"vertical-align: -4px;\"><\/p>\n<p> ,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-08c0b04a830a0062f4e7f25801c45fa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1q_1\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"66\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0406<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-789e8bfde9b6a18c7ff9b1390feca142_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2q_2\\geq5\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"66\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/p>\n<p> \u041e\u0442\u0436\u0435, \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445 \u043c\u043e\u0436\u043d\u0430 \u043d\u0430\u0431\u043b\u0438\u0437\u0438\u0442\u0438 \u0434\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443, <strong>\u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u0440\u043e\u0437\u0440\u0430\u0445\u0443\u043d\u043a\u0443 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u044f\u0445<\/strong> \u0432\u0438\u0433\u043b\u044f\u0434\u0430\u0454 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u043c \u0447\u0438\u043d\u043e\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a6b74dafd0599052a453e77646e5a77a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{(\\widehat{p_1}-\\widehat{p_2})-(p_1-p_2)}{\\displaystyle\\sqrt{\\frac{p_1q_1}{n_1}+\\frac{p_2q_2}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"198\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0437\u043e\u043b\u043e\u0442\u043e: <\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ad10d8ae9a51401d94ca9742249d6d15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\widehat{p_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0454 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0454\u044e \u0437\u0440\u0430\u0437\u043a\u0430 i.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a5db80b23c0dc6e4f21c509cb298856a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0447\u0430\u0441\u0442\u043a\u0430 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044f i.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4b2d0075b0f4fd8e4e14194b33ed0fe8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q_i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"13\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0432\u0456\u0434\u043c\u043e\u0432\u0438 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0456\u0457 i,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-917f2422b9b0d7d99ec3de548cc6bba3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"q_i=1-p_i\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"82\" style=\"vertical-align: -4px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5f087375b50e0b49186779714206626b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0446\u0435 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 i.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0454 \u0437\u043c\u0456\u043d\u043d\u043e\u044e, \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043e\u044e \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u043c \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u0438\u043c \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c N(0,1). <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0414\u0438\u0432\u0456\u0442\u044c\u0441\u044f:<\/strong> <a href=\"https:\/\/statorials.org\/uk\/\u0432\u0438\u0431\u0456\u0440\u043a\u0430-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443-\u0440\u0456\u0437\u043d\u0438\u0446\u0456-\u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0438\/\">\u0420\u043e\u0437\u0432\u2019\u044f\u0437\u0430\u043d\u0430 \u0432\u043f\u0440\u0430\u0432\u0430 \u043d\u0430 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u043f\u0440\u043e\u043f\u043e\u0440\u0446\u0456\u0439<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0423 \u0446\u0456\u0439 \u0441\u0442\u0430\u0442\u0442\u0456 \u043f\u043e\u044f\u0441\u043d\u044e\u0454\u0442\u044c\u0441\u044f, \u0449\u043e \u0442\u0430\u043a\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u0442\u0430 \u0434\u043b\u044f \u0447\u043e\u0433\u043e \u0432\u0456\u043d \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f. \u041e\u0442\u0436\u0435, \u0432\u0438 \u0437\u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443, \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0442\u0430, \u043a\u0440\u0456\u043c \u0442\u043e\u0433\u043e, \u0444\u043e\u0440\u043c\u0443\u043b\u0438 \u0434\u043b\u044f \u043d\u0430\u0439\u043f\u043e\u0448\u0438\u0440\u0435\u043d\u0456\u0448\u0438\u0445 \u0442\u0438\u043f\u0456\u0432 \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443. \u0429\u043e \u0442\u0430\u043a\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u0431\u0456\u0440\u043a\u0438? \u0412\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0430\u0431\u043e \u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u2014 \u0446\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b, \u044f\u043a\u0438\u0439 \u0454 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u043c \u0440\u043e\u0437\u0433\u043b\u044f\u0434\u0443 \u0432\u0441\u0456\u0445 \u043c\u043e\u0436\u043b\u0438\u0432\u0438\u0445 \u0432\u0438\u0431\u0456\u0440\u043e\u043a \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456. \u0406\u043d\u0448\u0438\u043c\u0438 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0429\u043e \u0442\u0430\u043a\u0435 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b \u0432\u0438\u0431\u0456\u0440\u043a\u0438? 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