{"id":256,"date":"2023-08-03T11:26:47","date_gmt":"2023-08-03T11:26:47","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d0%bf%d0%b5%d1%80%d0%b5%d0%b2%d1%96%d1%80%d0%ba%d0%b0-%d0%b3%d1%96%d0%bf%d0%be%d1%82%d0%b5%d0%b7%d0%b8-%d0%b4%d0%bb%d1%8f-%d1%81%d0%b5%d1%80%d0%b5%d0%b4%d0%bd%d1%8c%d0%be%d0%b3%d0%be\/"},"modified":"2023-08-03T11:26:47","modified_gmt":"2023-08-03T11:26:47","slug":"%d0%bf%d0%b5%d1%80%d0%b5%d0%b2%d1%96%d1%80%d0%ba%d0%b0-%d0%b3%d1%96%d0%bf%d0%be%d1%82%d0%b5%d0%b7%d0%b8-%d0%b4%d0%bb%d1%8f-%d1%81%d0%b5%d1%80%d0%b5%d0%b4%d0%bd%d1%8c%d0%be%d0%b3%d0%be","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d0%bf%d0%b5%d1%80%d0%b5%d0%b2%d1%96%d1%80%d0%ba%d0%b0-%d0%b3%d1%96%d0%bf%d0%be%d1%82%d0%b5%d0%b7%d0%b8-%d0%b4%d0%bb%d1%8f-%d1%81%d0%b5%d1%80%d0%b5%d0%b4%d0%bd%d1%8c%d0%be%d0%b3%d0%be\/","title":{"rendered":"\u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e"},"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 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456. \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u0432\u0438 \u0437\u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u0430, \u043a\u0440\u0456\u043c \u0442\u043e\u0433\u043e, \u043a\u0440\u043e\u043a \u0437\u0430 \u043a\u0440\u043e\u043a\u043e\u043c \u0440\u043e\u0437\u0432\u2019\u044f\u0437\u0430\u043d\u0443 \u0432\u043f\u0440\u0430\u0432\u0443. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-prueba-de-hipotesis-para-la-media\"><\/span> \u0429\u043e \u0442\u0430\u043a\u0435 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e<\/strong> \u2014 \u0446\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u0438\u0439 \u043c\u0435\u0442\u043e\u0434, \u044f\u043a\u0438\u0439 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0430\u0431\u043e \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u043d\u0443\u043b\u044c\u043e\u0432\u043e\u0457 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456.<\/p>\n<p> \u042f\u043a\u0449\u043e \u0433\u043e\u0432\u043e\u0440\u0438\u0442\u0438 \u0442\u043e\u0447\u043d\u0456\u0448\u0435, \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0432\u043a\u043b\u044e\u0447\u0430\u0454 \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0442\u0435\u0441\u0442\u043e\u0432\u043e\u0457 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u0442\u0430 \u043f\u043e\u0440\u0456\u0432\u043d\u044f\u043d\u043d\u044f \u0457\u0457 \u0437 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c, \u0449\u043e\u0431 \u0432\u0456\u0434\u0445\u0438\u043b\u0438\u0442\u0438 \u043d\u0443\u043b\u044c\u043e\u0432\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0443 \u0447\u0438 \u043d\u0456.<\/p>\n<p> \u0421\u043b\u0456\u0434 \u0437\u0430\u0437\u043d\u0430\u0447\u0438\u0442\u0438, \u0449\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u043c\u0430\u044e\u0442\u044c \u0440\u0456\u0437\u043d\u0456 \u043d\u0430\u0437\u0432\u0438; \u0443 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u0432\u043e\u043d\u0438 \u0442\u0430\u043a\u043e\u0436 \u043d\u0430\u0437\u0438\u0432\u0430\u044e\u0442\u044c\u0441\u044f \u043a\u043e\u043d\u0442\u0440\u0430\u0441\u0442\u0430\u043c\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437, \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430\u043c\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u0430\u0431\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430\u043c\u0438 \u0437\u043d\u0430\u0447\u0443\u0449\u043e\u0441\u0442\u0456. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-media\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0414\u0430\u043b\u0456 \u043c\u0438 \u043f\u043e\u0431\u0430\u0447\u0438\u043c\u043e, \u044f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u0442\u044c\u0441\u044f \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e. \u041e\u0434\u043d\u0430\u043a \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u0435\u0449\u043e \u0437\u043c\u0456\u043d\u044e\u0454\u0442\u044c\u0441\u044f \u0437\u0430\u043b\u0435\u0436\u043d\u043e \u0432\u0456\u0434 \u0442\u043e\u0433\u043e, \u0432\u0456\u0434\u043e\u043c\u0430 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u0447\u0438 \u043d\u0456, \u0442\u043e\u043c\u0443 \u043c\u0438 \u0441\u043f\u043e\u0447\u0430\u0442\u043a\u0443 \u043f\u043e\u0431\u0430\u0447\u0438\u043c\u043e, \u044f\u043a \u0446\u0435 \u0440\u043e\u0431\u0438\u0442\u044c\u0441\u044f, \u043a\u043e\u043b\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u0432\u0456\u0434\u043e\u043c\u0430, \u0430 \u043f\u043e\u0442\u0456\u043c, \u043a\u043e\u043b\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u0430.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"con-varianza-conocida\"><\/span> \u0417 \u0432\u0456\u0434\u043e\u043c\u0438\u043c \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f\u043c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437 \u0432\u0456\u0434\u043e\u043c\u043e\u044e \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0454\u044e<\/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-fdf1817a07bfb8c1eda9a8d8ccd8c828_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{\\sigma}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" 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>\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> \u0446\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e.<\/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-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>\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> \u0454 \u0437\u0430\u043f\u0440\u043e\u043f\u043e\u043d\u043e\u0432\u0430\u043d\u0438\u043c \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c.<\/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-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> \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>\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<\/ul>\n<p> \u041f\u0456\u0441\u043b\u044f \u0442\u043e\u0433\u043e, \u044f\u043a \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0443 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0430\u043d\u043e, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u043b\u0456\u0434 \u0456\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0443\u0432\u0430\u0442\u0438 \u044f\u043a \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0430\u0431\u043e \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u043d\u0443\u043b\u044c\u043e\u0432\u043e\u0457 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u042f\u043a\u0449\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0454 \u0434\u0432\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u044c\u043e\u044e, \u043d\u0443\u043b\u044c\u043e\u0432\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0432\u0456\u0434\u0445\u0438\u043b\u044f\u0454\u0442\u044c\u0441\u044f, \u044f\u043a\u0449\u043e \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u043f\u0435\u0440\u0435\u0432\u0438\u0449\u0443\u0454 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f Z <sub>\u03b1\/2<\/sub> .<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u042f\u043a\u0449\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u0431\u0456\u0433\u0430\u0454\u0442\u044c\u0441\u044f \u0437 \u043f\u0440\u0430\u0432\u0438\u043c \u0445\u0432\u043e\u0441\u0442\u043e\u043c, \u043d\u0443\u043b\u044c\u043e\u0432\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0432\u0456\u0434\u0445\u0438\u043b\u044f\u0454\u0442\u044c\u0441\u044f, \u044f\u043a\u0449\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043f\u0435\u0440\u0435\u0432\u0438\u0449\u0443\u0454 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f Z <sub>\u03b1<\/sub> .<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u042f\u043a\u0449\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u0431\u0456\u0433\u0430\u0454\u0442\u044c\u0441\u044f \u0437 \u043b\u0456\u0432\u0438\u043c \u0445\u0432\u043e\u0441\u0442\u043e\u043c, \u043d\u0443\u043b\u044c\u043e\u0432\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0432\u0456\u0434\u0445\u0438\u043b\u044f\u0454\u0442\u044c\u0441\u044f, \u044f\u043a\u0449\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043c\u0435\u043d\u0448\u0435 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f -Z <sub>\u03b1<\/sub> .<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0e2ccadfc369eb7543b8f86dfccc528e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\mu\\neq \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |Z|>Z_{\\alpha\/2} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu> \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z>Z_{\\alpha} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu< \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } Z<-Z_{\\alpha} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"440\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0423 \u0446\u044c\u043e\u043c\u0443 \u0432\u0438\u043f\u0430\u0434\u043a\u0443 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0456 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043e\u0442\u0440\u0438\u043c\u0443\u044e\u0442\u044c \u0456\u0437 <a href=\"https:\/\/statorials.org\/uk\/\u0442\u0430\u0431\u043b\u0438\u0446\u044f-\u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443\/\">\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u043e\u0457 \u0442\u0430\u0431\u043b\u0438\u0446\u0456 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443<\/a> .<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"con-varianza-desconocida\"><\/span> \u0417 \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u043e\u044e \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0454\u044e<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437 \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u043e\u044e \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0454\u044e<\/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-f8277d83b2d28325f25f5d118486200f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{s}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"75\" 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>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0454 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u043e\u044e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f, \u044f\u043a\u0435 \u0432\u0438\u0437\u043d\u0430\u0447\u0430\u0454\u0442\u044c\u0441\u044f <a href=\"https:\/\/statorials.org\/uk\/\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b-\u0443\u0447\u043d\u0456\u0432\/\">t-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u043e\u043c \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<\/a> .<\/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-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>\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> \u0454 \u0437\u0430\u043f\u0440\u043e\u043f\u043e\u043d\u043e\u0432\u0430\u043d\u0438\u043c \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c.<\/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-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> \u0454 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u043c \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f\u043c \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-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<\/ul>\n<p> \u042f\u043a \u0456 \u0440\u0430\u043d\u0456\u0448\u0435, \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0430\u043d\u0438\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0442\u0435\u0441\u0442\u043e\u0432\u043e\u0457 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u043c\u0430\u0454 \u0431\u0443\u0442\u0438 \u0456\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u043e\u0432\u0430\u043d\u0438\u0439 \u0437 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u043c, \u0449\u043e\u0431 \u0432\u0456\u0434\u0445\u0438\u043b\u0438\u0442\u0438 \u0447\u0438 \u043d\u0456 \u043d\u0443\u043b\u044c\u043e\u0432\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0443:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u042f\u043a\u0449\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0454 \u0434\u0432\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u044c\u043e\u044e, \u043d\u0443\u043b\u044c\u043e\u0432\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0432\u0456\u0434\u0445\u0438\u043b\u044f\u0454\u0442\u044c\u0441\u044f, \u044f\u043a\u0449\u043e \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u043f\u0435\u0440\u0435\u0432\u0438\u0449\u0443\u0454 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f t <sub>\u03b1\/2|n-1<\/sub> .<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u042f\u043a\u0449\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u0431\u0456\u0433\u0430\u0454\u0442\u044c\u0441\u044f \u0437 \u043f\u0440\u0430\u0432\u0438\u043c \u0445\u0432\u043e\u0441\u0442\u043e\u043c, \u043d\u0443\u043b\u044c\u043e\u0432\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0432\u0456\u0434\u0445\u0438\u043b\u044f\u0454\u0442\u044c\u0441\u044f, \u044f\u043a\u0449\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043f\u0435\u0440\u0435\u0432\u0438\u0449\u0443\u0454 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f t <sub>\u03b1|n-1<\/sub> .<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u042f\u043a\u0449\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u0431\u0456\u0433\u0430\u0454\u0442\u044c\u0441\u044f \u0437 \u043b\u0456\u0432\u0438\u043c \u0445\u0432\u043e\u0441\u0442\u043e\u043c, \u043d\u0443\u043b\u044c\u043e\u0432\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0432\u0456\u0434\u0445\u0438\u043b\u044f\u0454\u0442\u044c\u0441\u044f, \u044f\u043a\u0449\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043c\u0435\u043d\u0448\u0430 \u0437\u0430 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f -t <sub>\u03b1|n-1<\/sub> .<\/span><\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31fb206b75a47181c7c673f54ba28ee8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\mu\\neq \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } |t|>t_{\\alpha\/2|n-1} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu> \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } t>t_{\\alpha|n-1} \\text{ se rechaza } H_0\\\\[3ex]H_1: \\mu< \\mu_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } t<-t_{\\alpha|n-1} \\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"112\" width=\"457\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041a\u043e\u043b\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u0430, \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0456 \u0442\u0435\u0441\u0442\u043e\u0432\u0456 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043e\u0442\u0440\u0438\u043c\u0443\u044e\u0442\u044c \u0437 \u0442\u0430\u0431\u043b\u0438\u0446\u0456 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-prueba-de-hipotesis-para-la-media\"><\/span> \u0420\u0435\u0430\u043b\u044c\u043d\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0429\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 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0457 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0457 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456, \u0432\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u0431\u0430\u0447\u0438\u0442\u0438 \u0440\u0435\u0430\u043b\u044c\u043d\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u0442\u0430\u043a\u043e\u0433\u043e \u0442\u0438\u043f\u0443 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0438\u0436\u0447\u0435.<\/p>\n<ul>\n<li> \u0422\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0456\u0447\u043d\u0430 \u043a\u043e\u043c\u043f\u0430\u043d\u0456\u044f \u0441\u0442\u0432\u0435\u0440\u0434\u0436\u0443\u0454, \u0449\u043e \u0431\u0430\u0442\u0430\u0440\u0435\u044f \u043d\u043e\u0443\u0442\u0431\u0443\u043a\u0430, \u044f\u043a\u0438\u0439 \u0432\u043e\u043d\u0430 \u043f\u0440\u043e\u0434\u0430\u0454, \u043f\u0440\u0430\u0446\u044e\u0454 6 \u0433\u043e\u0434\u0438\u043d. \u041c\u0438 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u044f\u0454\u043c\u043e, \u0447\u0438 \u0446\u044f \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0445\u0438\u0431\u043d\u0430, \u0432\u0438\u043a\u043e\u043d\u0443\u044e\u0447\u0438 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0437 \u0440\u0456\u0432\u043d\u0435\u043c \u0437\u043d\u0430\u0447\u0443\u0449\u043e\u0441\u0442\u0456 \u03b1 = 0,05. \u0414\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0432\u0438\u0440\u0456\u0448\u0435\u043d\u043e \u043f\u0440\u0438\u0434\u0431\u0430\u0442\u0438 20 \u043e\u0434\u0438\u043d\u0438\u0446\u044c \u0456 \u0441\u043f\u043e\u0441\u0442\u0435\u0440\u0456\u0433\u0430\u0442\u0438 \u0437\u0430 \u0447\u0430\u0441\u043e\u043c \u0430\u0432\u0442\u043e\u043d\u043e\u043c\u043d\u043e\u0457 \u0440\u043e\u0431\u043e\u0442\u0438 \u043a\u043e\u0436\u043d\u043e\u0433\u043e \u043a\u043e\u043c\u043f&#8217;\u044e\u0442\u0435\u0440\u0430 (\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432\u0438\u0440\u0430\u0436\u0435\u043d\u0456 \u0432 \u0433\u043e\u0434\u0438\u043d\u0430\u0445):<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 5,2 5,9 7,1 4,2 6,5<br \/> 8,5 4,6 6,8 6,9 5,8<br \/> 5,1 6,5 7,0 5,3 6,2<br \/> 5,7 6,6 7,5 5,1 6,1<\/p>\n<p> \u0423 \u0446\u044c\u043e\u043c\u0443 \u0432\u0438\u043f\u0430\u0434\u043a\u0443 <a href=\"https:\/\/statorials.org\/uk\/\u043d\u0443\u043b\u044c\u043e\u0432\u0430-\u0442\u0430-\u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0430-\u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438\/\">\u043d\u0443\u043b\u044c\u043e\u0432\u0430 \u0442\u0430 \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438<\/a> \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043f\u0440\u043e \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u0430\u043a\u0456:<\/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-329ffe392783b8bee1eef642d1a45f53_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu=6\\\\[2ex] H_1:\\mu\\neq 6 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"93\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0429\u043e\u0431 \u0432\u0438\u0437\u043d\u0430\u0447\u0438\u0442\u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0443 \u0442\u0435\u0441\u0442\u0443, \u043d\u0430\u043c \u0441\u043f\u043e\u0447\u0430\u0442\u043a\u0443 \u043f\u043e\u0442\u0440\u0456\u0431\u043d\u043e \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u0442\u0430 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \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-ef07dbee8f95fc767bc069bd738bb493_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=6,13 \\qquad s=1,05\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"169\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u041e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u043c\u0438 \u043d\u0435 \u0437\u043d\u0430\u0454\u043c\u043e \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044e \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456, \u0449\u043e\u0431 \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u0442\u0435\u0441\u0442\u043e\u0432\u0443 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0443, \u043d\u0430\u043c \u043f\u043e\u0442\u0440\u0456\u0431\u043d\u043e \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u0442\u0438 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437 \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u043e\u044e \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0454\u044e: <\/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-f8277d83b2d28325f25f5d118486200f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\overline{x}-\\mu}{\\displaystyle \\frac{s}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"75\" style=\"vertical-align: -34px;\"><\/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-447879c9f526afed74796d347fd69c97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{6,13-6}{\\displaystyle \\frac{1,05}{\\sqrt{20}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"98\" style=\"vertical-align: -38px;\"><\/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-e0e63621349c12eec107c43152b5213c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=0,68\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"65\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440 \u043d\u0430\u043c \u043f\u043e\u0442\u0440\u0456\u0431\u043d\u043e \u0437\u043d\u0430\u0439\u0442\u0438 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438, \u0442\u043e\u043c\u0443 \u043c\u0438 \u0448\u0443\u043a\u0430\u0454\u043c\u043e \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432 <a href=\"https:\/\/statorials.org\/uk\/\u0443\u0447\u0435\u043d\u044c-t-\u0442\u0430\u0431\u043b\u0438\u0446\u044f-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443\/\">\u0442\u0430\u0431\u043b\u0438\u0446\u0456 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 t \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<\/a> . \u0421\u0442\u0443\u043f\u0435\u043d\u0456 \u0441\u0432\u043e\u0431\u043e\u0434\u0438 t \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u043d\u0430 \u043e\u0434\u0438\u043d\u0438\u0446\u044e \u043c\u0435\u043d\u0448\u0456, \u043d\u0456\u0436 \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 (20-1=19), \u0456, \u0437 \u0456\u043d\u0448\u043e\u0433\u043e \u0431\u043e\u043a\u0443, \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u043d\u0430 \u0439\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0441\u0442\u044c \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u0443 \u0440\u0456\u0432\u043d\u044f \u0437\u043d\u0430\u0447\u0443\u0449\u043e\u0441\u0442\u0456 (0,05\/2= 0,025), \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u0446\u0435 \u0434\u0432\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0456\u0439 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\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-8154fa6e5bfee35698c6dc26928cd98c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha=0,05 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ \\alpha\/2=0,025\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"300\" style=\"vertical-align: -5px;\"><\/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-e85692dfb2fb2522025566dc205b8117_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}t_{\\alpha\/2| n-1}= \\ \\color{orange}\\bm{?}\\\\[4ex]t_{0,025| 19}=2,093\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"72\" width=\"152\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u041d\u0430 \u0437\u0430\u0432\u0435\u0440\u0448\u0435\u043d\u043d\u044f, \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u0446\u0435 \u0434\u0432\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u044f \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438, \u0430 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u0435\u0441\u0442\u043e\u0432\u043e\u0457 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u043c\u0435\u043d\u0448\u0435 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f, \u043d\u0443\u043b\u044c\u043e\u0432\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u044f\u0454\u0442\u044c\u0441\u044f, \u0430\u043b\u0435 \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0432\u0456\u0434\u0445\u0438\u043b\u044f\u0454\u0442\u044c\u0441\u044f. <\/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-0e46ceecc8ebcda6dd88ec4d3771c285_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0,68<2,093 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Se rechaza } H_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"345\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-la-diferencia-de-medias\"><\/span> \u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c<\/strong> \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0430\u0431\u043e \u043f\u0440\u0438\u0439\u043d\u044f\u0442\u0442\u044f \u043d\u0443\u043b\u044c\u043e\u0432\u043e\u0457 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043f\u0440\u043e \u0442\u0435, \u0449\u043e \u0441\u0435\u0440\u0435\u0434\u043d\u0456 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u0432\u043e\u0445 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0456\u0439 \u043e\u0434\u043d\u0430\u043a\u043e\u0432\u0456.<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u043d\u0443\u043b\u044c\u043e\u0432\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0434\u0432\u043e\u0445 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u0430\u0432\u0436\u0434\u0438 \u0442\u0430\u043a\u0430:<\/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-2945a64bf97e1c02ac7fb56bbf1f215b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"H_0: \\mu_1=\\mu_2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"97\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u0422\u043e\u0434\u0456 \u044f\u043a \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u043e\u044e \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u043e\u044e \u043c\u043e\u0436\u0435 \u0431\u0443\u0442\u0438 \u043e\u0434\u043d\u0430 \u0437 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0445 \u0442\u0440\u044c\u043e\u0445:<\/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-c612ac7651faad9faa195f37fdf6edef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1:\\mu_1\\neq \\mu_2\\\\[2ex]H_1:\\mu_1>\\mu_2\\\\[2ex]H_1:\\mu_1<\\mu_2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"97\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u043e\u0434\u0456 <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 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c, \u043a\u043e\u043b\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u0432\u0456\u0434\u043e\u043c\u0430,<\/strong> \u0432\u0438\u0433\u043b\u044f\u0434\u0430\u0454 \u0442\u0430\u043a:<\/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-83c9d3ddf8c2ff8b9cf2b0fa4ac8082e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\displaystyle \\overline{x_1}-\\overline{x_2}}{\\displaystyle\\sqrt{\\frac{\\sigma_1^2}{n_1}+\\frac{\\sigma_2^2}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"75\" width=\"123\" 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>\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> \u0446\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0434\u0432\u043e\u0445 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0437 \u0432\u0456\u0434\u043e\u043c\u043e\u044e \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0454\u044e, \u044f\u043a\u0430 \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u0430\u0454 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u043c\u0443 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443.<\/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-1436bb55d331d1efe559fd1e55245851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" 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 \u0437\u0440\u0430\u0437\u043a\u0430 1.<\/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-f06b28a75570ecb4df1371dea2d9f2b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" 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 \u0437\u0440\u0430\u0437\u043a\u0430 2.<\/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-c2e8ce841b1fc1e199b133e6f24f6f51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_1^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0454 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0454\u044e \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 1.<\/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-d5fd430c9ff19057933c215e683ace41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_2^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0446\u0435 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 2.<\/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-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 1.<\/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-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 2.<\/li>\n<\/ul>\n<p> \u0417 \u0456\u043d\u0448\u043e\u0433\u043e \u0431\u043e\u043a\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 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c, \u043a\u043e\u043b\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u0430,<\/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-e9fbc7bf6d5bbaeb18a3992a3f373a55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\displaystyle \\overline{x_1}-\\overline{x_2}}{\\displaystyle\\sqrt{\\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"75\" width=\"317\" 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>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fd9cb27edab3f0a8a249bc80cc9c6ee2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0446\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0434\u0432\u043e\u0445 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0456\u0437 \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u043e\u044e \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0454\u044e, \u044f\u043a\u0430 \u0432\u0456\u0434\u043f\u043e\u0432\u0456\u0434\u0430\u0454 t-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430.<\/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-1436bb55d331d1efe559fd1e55245851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" 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 \u0437\u0440\u0430\u0437\u043a\u0430 1.<\/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-f06b28a75570ecb4df1371dea2d9f2b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"18\" 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 \u0437\u0440\u0430\u0437\u043a\u0430 2.<\/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-59ae3c411ec80f65d56e397f87d29753_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_1^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0454 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0454\u044e \u0437\u0440\u0430\u0437\u043a\u0430 1.<\/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-c785df8c080b6984c6205f881426fb10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_2^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0454 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0454\u044e \u0437\u0440\u0430\u0437\u043a\u0430 2.<\/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-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 1.<\/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-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u0440\u043e\u0437\u043c\u0456\u0440 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 2.<\/li>\n<\/ul>\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 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456. \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u0432\u0438 \u0437\u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u0430, \u043a\u0440\u0456\u043c \u0442\u043e\u0433\u043e, \u043a\u0440\u043e\u043a \u0437\u0430 \u043a\u0440\u043e\u043a\u043e\u043c \u0440\u043e\u0437\u0432\u2019\u044f\u0437\u0430\u043d\u0443 \u0432\u043f\u0440\u0430\u0432\u0443. \u0429\u043e \u0442\u0430\u043a\u0435 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e? \u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u2014 \u0446\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u0438\u0439 \u043c\u0435\u0442\u043e\u0434, \u044f\u043a\u0438\u0439 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0430\u0431\u043e \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u043d\u0443\u043b\u044c\u043e\u0432\u043e\u0457 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0441\u0435\u0440\u0435\u0434\u043d\u044c\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f [&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>\u25b7 \u041f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0434\u043b\u044f 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