{"id":280,"date":"2023-08-03T03:11:14","date_gmt":"2023-08-03T03:11:14","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%bd%d0%b0-%d1%80%d1%96%d0%b7%d0%bd%d0%b8%d1%86%d1%8e-%d1%81%d0%b5%d1%80%d0%b5%d0%b4%d0%bd\/"},"modified":"2023-08-03T03:11:14","modified_gmt":"2023-08-03T03:11:14","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%bd%d0%b0-%d1%80%d1%96%d0%b7%d0%bd%d0%b8%d1%86%d1%8e-%d1%81%d0%b5%d1%80%d0%b5%d0%b4%d0%bd","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%bd%d0%b0-%d1%80%d1%96%d0%b7%d0%bd%d0%b8%d1%86%d1%8e-%d1%81%d0%b5%d1%80%d0%b5%d0%b4%d0%bd\/","title":{"rendered":"\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"},"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\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0443 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u0442\u0430 \u0434\u043b\u044f \u0447\u043e\u0433\u043e \u0432\u043e\u043d\u0430 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f. \u041a\u0440\u0456\u043c \u0442\u043e\u0433\u043e, \u0432\u0438 \u0434\u0456\u0437\u043d\u0430\u0454\u0442\u0435\u0441\u044c, \u044f\u043a \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0449\u043e\u0434\u043e \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0456 \u043f\u043e\u043a\u0440\u043e\u043a\u043e\u0432\u043e \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-diferencia-de-medias\"><\/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\u0457 \u0440\u0456\u0437\u043d\u0438\u0446\u0456?<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 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c<\/strong> \u2014 \u0446\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u0438\u0439 \u0442\u0435\u0441\u0442, \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 \u043f\u0440\u0438\u0439\u043d\u044f\u0442\u0442\u044f \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 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0435\u0439 \u0440\u0456\u0437\u043d\u0456. \u0422\u043e\u0431\u0442\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u0445 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u0434\u043b\u044f \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0442\u043e\u0433\u043e, \u0447\u0438 \u0454 \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\u0438\u043c\u0438 \u0447\u0438 \u0440\u0456\u0437\u043d\u0438\u043c\u0438.<\/p>\n<p> \u041c\u0430\u0439\u0442\u0435 \u043d\u0430 \u0443\u0432\u0430\u0437\u0456, \u0449\u043e \u0440\u0456\u0448\u0435\u043d\u043d\u044f, \u043f\u0440\u0438\u0439\u043d\u044f\u0442\u0456 \u043f\u0456\u0434 \u0447\u0430\u0441 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438, \u0491\u0440\u0443\u043d\u0442\u0443\u044e\u0442\u044c\u0441\u044f \u043d\u0430 \u043f\u043e\u043f\u0435\u0440\u0435\u0434\u043d\u044c\u043e \u0432\u0441\u0442\u0430\u043d\u043e\u0432\u043b\u0435\u043d\u043e\u043c\u0443 <a href=\"https:\/\/statorials.org\/uk\/\u0440\u0456\u0432\u0435\u043d\u044c-\u0432\u043f\u0435\u0432\u043d\u0435\u043d\u043e\u0441\u0442\u0456\/\">\u0440\u0456\u0432\u043d\u0456 \u0434\u043e\u0441\u0442\u043e\u0432\u0456\u0440\u043d\u043e\u0441\u0442\u0456<\/a> , \u0442\u043e\u043c\u0443 \u043d\u0435 \u043c\u043e\u0436\u043d\u0430 \u0433\u0430\u0440\u0430\u043d\u0442\u0443\u0432\u0430\u0442\u0438, \u0449\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0437\u0430\u0432\u0436\u0434\u0438 \u0431\u0443\u0434\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u0438\u043c, \u0430 \u0440\u0430\u0434\u0448\u0435 \u0442\u0435, \u0449\u043e \u0446\u0435 \u043d\u0430\u0439\u0456\u043c\u043e\u0432\u0456\u0440\u043d\u0456\u0448\u0438\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442, \u044f\u043a\u0438\u0439 \u0454 \u0456\u0441\u0442\u0438\u043d\u043d\u0438\u043c.<\/p>\n<p> \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 \u0434\u0432\u043e\u0445 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \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. \u041d\u0438\u0436\u0447\u0435 \u043c\u0438 \u043f\u043e\u0431\u0430\u0447\u0438\u043c\u043e, \u044f\u043a \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445.<\/p>\n<p> \u0417\u0440\u0435\u0448\u0442\u043e\u044e, \u043f\u0430\u043c\u2019\u044f\u0442\u0430\u0439\u0442\u0435, \u0449\u043e \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u0442\u0430\u043a\u043e\u0436 \u043c\u043e\u0436\u0435 \u043d\u0430\u0437\u0438\u0432\u0430\u0442\u0438\u0441\u044f \u043f\u0440\u043e\u0442\u0438\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u043d\u044f\u043c \u0433\u0456\u043f\u043e\u0442\u0435\u0437, \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u043e\u044e \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u0430\u0431\u043e \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u043e\u044e \u0437\u043d\u0430\u0447\u0443\u0449\u043e\u0441\u0442\u0456. <\/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\/\">\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<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-diferencia-de-medias\"><\/span> \u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0424\u043e\u0440\u043c\u0443\u043b\u0430, \u044f\u043a\u0443 \u0441\u043b\u0456\u0434 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0434\u043b\u044f \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437 \u043f\u0440\u043e \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0432 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f\u0445, \u0437\u043c\u0456\u043d\u044e\u0454\u0442\u044c\u0441\u044f \u0437\u0430\u043b\u0435\u0436\u043d\u043e \u0432\u0456\u0434 \u0442\u043e\u0433\u043e, \u0447\u0438 \u0432\u0456\u0434\u043e\u043c\u0456 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0457 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456, \u0456, \u044f\u043a\u0449\u043e \u043d\u0456, \u0447\u0438 \u043c\u043e\u0436\u043d\u0430 \u043f\u0440\u0438\u043f\u0443\u0441\u0442\u0438\u0442\u0438, \u0449\u043e \u0432\u043e\u043d\u0438 \u043e\u0434\u043d\u0430\u043a\u043e\u0432\u0456 \u0447\u0438 \u0440\u0456\u0437\u043d\u0456. \u041e\u0442\u0436\u0435, \u0443 \u0446\u044c\u043e\u043c\u0443 \u0440\u043e\u0437\u0434\u0456\u043b\u0456 \u043c\u0438 \u043f\u043e\u0431\u0430\u0447\u0438\u043c\u043e, \u044f\u043a\u0443 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0437\u0430\u043b\u0435\u0436\u043d\u043e \u0432\u0456\u0434 \u0432\u0438\u043f\u0430\u0434\u043a\u0443.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-conocidas\"><\/span> \u0412\u0456\u0434\u043e\u043c\u0456 \u0432\u0430\u0440\u0456\u0430\u0446\u0456\u0457<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0424\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\u0457 \u0432\u0456\u0434\u043e\u043c\u0456,<\/strong> \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-0b7968d96046c1f555a7c95e7c3c408e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\displaystyle (\\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=\"78\" 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>\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-776e8d37515f607d16b6ea33cf27cb8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \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-eed6e51baac07f2aaf1c82b4b328ded8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\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-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-802bfc799b8f222d7b47270e1569770b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" 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 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-063ad2fadbc81bd1df35589566b0bd16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" 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 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> \u041c\u0430\u0439\u0442\u0435 \u043d\u0430 \u0443\u0432\u0430\u0437\u0456, \u0449\u043e \u0446\u0435 \u043d\u0430\u0439\u043c\u0435\u043d\u0448 \u043f\u043e\u0448\u0438\u0440\u0435\u043d\u0438\u0439 \u0432\u0438\u043f\u0430\u0434\u043e\u043a, \u0442\u043e\u043c\u0443 \u0446\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f \u043b\u0438\u0448\u0435 \u0432 \u043e\u043a\u0440\u0435\u043c\u0438\u0445 \u0432\u0438\u043f\u0430\u0434\u043a\u0430\u0445.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-desconocidas-e-iguales\"><\/span> \u041d\u0435\u0432\u0456\u0434\u043e\u043c\u0456 \u0442\u0430 \u0440\u0456\u0432\u043d\u0456 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0424\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\u0457 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0457 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u0456, \u0430\u043b\u0435 \u0432\u0432\u0430\u0436\u0430\u044e\u0442\u044c\u0441\u044f \u0440\u0456\u0432\u043d\u0438\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-b879974c3d05ebcb049125dbaf9f0a48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\displaystyle (\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle s_p\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"67\" width=\"197\" 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>\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 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0437 \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u0438\u043c\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f\u043c\u0438, \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 \u0437 n <sub>1<\/sub> + n <sub>2<\/sub> -2 \u0441\u0442\u0443\u043f\u0435\u043d\u044f\u043c\u0438 \u0441\u0432\u043e\u0431\u043e\u0434\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-776e8d37515f607d16b6ea33cf27cb8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \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-eed6e51baac07f2aaf1c82b4b328ded8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\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-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-db24109a40d5779feee64c7bccc11371_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_p\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"15\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u0454 \u043a\u043e\u043c\u0431\u0456\u043d\u043e\u0432\u0430\u043d\u0438\u043c \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0438\u043c \u0432\u0456\u0434\u0445\u0438\u043b\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-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> \u0421\u0443\u043a\u0443\u043f\u043d\u0435 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0434\u0432\u043e\u0445 \u0437\u0440\u0430\u0437\u043a\u0456\u0432 \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u0442\u044c\u0441\u044f \u0437\u0430 \u0442\u0430\u043a\u043e\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\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-a8fb43d179e453d19f5781319aa9e1ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s_p=\\sqrt{\\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"240\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-desconocidas-y-diferentes\"><\/span> \u041d\u0435\u0432\u0456\u0434\u043e\u043c\u0456 \u0442\u0430 \u0440\u0456\u0437\u043d\u0456 \u0432\u0430\u0440\u0456\u0430\u0446\u0456\u0457<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u041a\u043e\u043b\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0457 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0457 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u0456 \u0456, \u043a\u0440\u0456\u043c \u0442\u043e\u0433\u043e, \u0432\u043e\u043d\u0438 \u0432\u0432\u0430\u0436\u0430\u044e\u0442\u044c\u0441\u044f \u0440\u0456\u0437\u043d\u0438\u043c\u0438, \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 \u043c\u0430\u0454<\/strong> \u0442\u0430\u043a\u0438\u0439 \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-01c79415ff9c173fa4517d4b1a859a8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\displaystyle (\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle \\sqrt{\\frac{s_1^2}{n_1}+\\frac{s_2^2}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"78\" width=\"197\" 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 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0437 \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u0438\u043c\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u044f\u043c\u0438, \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-776e8d37515f607d16b6ea33cf27cb8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \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-eed6e51baac07f2aaf1c82b4b328ded8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0446\u0435 \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\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-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-802bfc799b8f222d7b47270e1569770b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" 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 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-063ad2fadbc81bd1df35589566b0bd16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" 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 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> \u041e\u0434\u043d\u0430\u043a \u0443 \u0446\u044c\u043e\u043c\u0443 \u0432\u0438\u043f\u0430\u0434\u043a\u0443 \u0441\u0442\u0443\u043f\u0435\u043d\u0456 \u0432\u0456\u043b\u044c\u043d\u043e\u0441\u0442\u0456 t-\u0440\u043e\u0437\u043f\u043e\u0434\u0456\u043b\u0443 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0440\u043e\u0437\u0440\u0430\u0445\u043e\u0432\u0443\u044e\u0442\u044c\u0441\u044f \u0437\u0430 \u0442\u0430\u043a\u043e\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u043e\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-ecf1ccfa1ecb47b889c569e5faa65a78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle GL=\\frac{\\displaystyle\\left(\\frac{s_1^2}{n_1}+\\frac{s_2^2}{n_2}\\right)^2}{\\displaystyle\\frac{\\displaystyle\\frac{s_1^2}{n_1}}{n_1-1}+\\frac{\\displaystyle\\frac{s_2^2}{n_2}}{n_2-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"115\" width=\"180\" style=\"vertical-align: -61px;\"><\/p>\n<\/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\/\u0434\u043e\u0432\u0456\u0440\u0447\u0438\u0438-\u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b-\u0434\u043b\u044f-\u0440\u0456\u0437\u043d\u0438\u0446\u0456-\u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445\/\">\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043e\u0432\u0456\u0440\u0447\u043e\u0433\u043e \u0456\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0443 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-prueba-de-hipotesis-para-la-diferencia-de-medias\"><\/span> \u041a\u043e\u043d\u043a\u0440\u0435\u0442\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 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0429\u043e\u0431 \u0437\u0430\u043a\u0456\u043d\u0447\u0438\u0442\u0438 \u0437\u0430\u0441\u0432\u043e\u0454\u043d\u043d\u044f \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0456\u0457 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0432 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445, \u043c\u0438 \u0440\u043e\u0437\u0433\u043b\u044f\u043d\u0435\u043c\u043e \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0438\u0439 \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u0446\u044c\u043e\u0433\u043e \u0442\u0438\u043f\u0443 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438.<\/p>\n<ul>\n<li> \u0412\u0438 \u0445\u043e\u0447\u0435\u0442\u0435 \u043f\u0440\u043e\u0432\u0435\u0441\u0442\u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u0435 \u0434\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043d\u044f \u0437\u0430\u0440\u043e\u0431\u0456\u0442\u043d\u043e\u0457 \u043f\u043b\u0430\u0442\u0438 \u0434\u0432\u043e\u0445 \u043a\u043e\u043d\u043a\u0443\u0440\u0443\u044e\u0447\u0438\u0445 \u043a\u043e\u043c\u043f\u0430\u043d\u0456\u0439, \u0442\u043e\u0447\u043d\u0456\u0448\u0435, \u0432\u0438 \u0445\u043e\u0447\u0435\u0442\u0435 \u0432\u0438\u0437\u043d\u0430\u0447\u0438\u0442\u0438, \u0447\u0438 \u0432\u0456\u0434\u0440\u0456\u0437\u043d\u044f\u0454\u0442\u044c\u0441\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u044f \u0437\u0430\u0440\u043e\u0431\u0456\u0442\u043d\u0430 \u043f\u043b\u0430\u0442\u0430 \u0432 \u0434\u0432\u043e\u0445 \u043a\u043e\u043c\u043f\u0430\u043d\u0456\u044f\u0445. \u0414\u043b\u044f \u0446\u044c\u043e\u0433\u043e \u0431\u0435\u0440\u0435\u0442\u044c\u0441\u044f \u0432\u0438\u0431\u0456\u0440\u043a\u0430 \u0437 47 \u043f\u0440\u0430\u0446\u0456\u0432\u043d\u0438\u043a\u0456\u0432 \u0437 \u043e\u0434\u043d\u0456\u0454\u0457 \u043a\u043e\u043c\u043f\u0430\u043d\u0456\u0457 \u0442\u0430 \u0449\u0435 \u043e\u0434\u043d\u0430 \u0432\u0438\u0431\u0456\u0440\u043a\u0430 \u0437 55 \u043f\u0440\u0430\u0446\u0456\u0432\u043d\u0438\u043a\u0456\u0432 \u0437 \u0456\u043d\u0448\u043e\u0457 \u043a\u043e\u043c\u043f\u0430\u043d\u0456\u0457. \u0417 \u043f\u0435\u0440\u0448\u043e\u0457 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u043e\u0442\u0440\u0438\u043c\u0430\u043d\u043e \u0441\u0435\u0440\u0435\u0434\u043d\u044e \u0437\u0430\u0440\u043f\u043b\u0430\u0442\u0443 40 000 \u0434\u043e\u043b\u0430\u0440\u0456\u0432 \u0421\u0428\u0410 \u0442\u0430 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f 12 000 \u0434\u043e\u043b\u0430\u0440\u0456\u0432 \u0421\u0428\u0410, \u0430 \u0437 \u0434\u0440\u0443\u0433\u043e\u0457 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u2013 \u0441\u0435\u0440\u0435\u0434\u043d\u044e \u0437\u0430\u0440\u043f\u043b\u0430\u0442\u0443 46 000 \u0434\u043e\u043b\u0430\u0440\u0456\u0432 \u0421\u0428\u0410 \u0442\u0430 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f 18 000 \u0434\u043e\u043b\u0430\u0440\u0456\u0432 \u0421\u0428\u0410. \u0412\u0438\u043a\u043e\u043d\u0430\u0439\u0442\u0435 \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 5%, \u0449\u043e\u0431 \u0432\u0438\u0437\u043d\u0430\u0447\u0438\u0442\u0438, \u0447\u0438 \u0432\u0456\u0434\u0440\u0456\u0437\u043d\u044f\u044e\u0442\u044c\u0441\u044f \u0441\u0435\u0440\u0435\u0434\u043d\u0456 \u0437\u0430\u0440\u043f\u043b\u0430\u0442\u0438 \u0447\u0438 \u043d\u0456.<\/li>\n<\/ul>\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 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430 \u0442\u0430 \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0430 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0430<\/a> \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044e \u0434\u0432\u043e\u0445 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0454 \u0442\u0430\u043a\u0438\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-4dd9e80c0a87987d689d7b8d99be9d90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\mu_1-\\mu_2=0\\\\[2ex] H_1:\\mu_1-\\mu_2\\neq 0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"141\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0423 \u0446\u044c\u043e\u043c\u0443 \u0432\u0438\u043f\u0430\u0434\u043a\u0443 \u0440\u043e\u0437\u0440\u0438\u0432\u0438 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u043d\u044f \u043d\u0435\u0432\u0456\u0434\u043e\u043c\u0456, \u0430\u043b\u0435 \u043c\u043e\u0436\u043d\u0430 \u043f\u0440\u0438\u043f\u0443\u0441\u0442\u0438\u0442\u0438, \u0449\u043e \u0432\u043e\u043d\u0438 \u0440\u0456\u0432\u043d\u0456, \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \u0446\u0435 \u043a\u043e\u043d\u043a\u0443\u0440\u0443\u044e\u0447\u0456 \u043a\u043e\u043c\u043f\u0430\u043d\u0456\u0457, \u0430 \u0443\u043c\u043e\u0432\u0438 \u0440\u043e\u0431\u043e\u0442\u0438 \u043d\u0430 \u0440\u0438\u043d\u043a\u0443, \u043d\u0430 \u044f\u043a\u043e\u043c\u0443 \u0432\u043e\u043d\u0438 \u043f\u0440\u0430\u0446\u044e\u044e\u0442\u044c, \u0434\u0443\u0436\u0435 \u0441\u0445\u043e\u0436\u0456. \u0422\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \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, \u044f\u043a\u0443 \u043c\u0438 \u043f\u043e\u0432\u0438\u043d\u043d\u0456 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\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-b879974c3d05ebcb049125dbaf9f0a48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\displaystyle (\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle s_p\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"67\" width=\"197\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p> \u0422\u043e\u043c\u0443 \u043c\u0438 \u043e\u0431\u0447\u0438\u0441\u043b\u044e\u0454\u043c\u043e \u043e\u0431\u2019\u0454\u0434\u043d\u0430\u043d\u0435 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0434\u0432\u043e\u0445 \u0432\u0438\u0431\u0456\u0440\u043e\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-0308363d68c4677761d44b214b1609d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle s_p&amp;=\\sqrt{\\frac{(n_1-1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}\\\\[2ex]\\displaystyle s_p&amp;=\\sqrt{\\frac{(47-1)\\cdot 12000^2+(55-1)\\cdot 18000^2}{47+55-2}}\\\\[2ex]s_p&amp;=15530,61\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"161\" width=\"337\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440 \u043c\u0438 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0454\u043c\u043e \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 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\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-c5bf7791d156d1d7593182a7ffc64417_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\displaystyle (\\overline{x_1}-\\overline{x_2})-(\\mu_1-\\mu_2)}{\\displaystyle s_p\\sqrt{\\frac{1}{n_1}+\\frac{1}{n_2}}}=\\cfrac{(40000-46000)-0}{\\displaystyle 15530,61\\sqrt{\\frac{1}{47}+\\frac{1}{55}}}=-1,94\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"451\" style=\"vertical-align: -41px;\"><\/p>\n<\/p>\n<p> \u0417 \u0456\u043d\u0448\u043e\u0433\u043e \u0431\u043e\u043a\u0443, \u043c\u0438 \u0448\u0443\u043a\u0430\u0454\u043c\u043e \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 \u0434\u043b\u044f \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0443 <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 t \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<\/a> :<\/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-d5f11ecd0336e50c63b0ab2fab4bd530_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}t_{\\alpha\/2| n_1+n_2-2}= \\ \\color{orange}\\bm{?}\\\\[4ex]t_{0,025| 100}=1,984\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"72\" width=\"184\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0422\u043e\u0434\u0456, \u043e\u0441\u043a\u0456\u043b\u044c\u043a\u0438 \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 \u0442\u0435\u0441\u0442\u043e\u0432\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 \u043f\u0440\u0438\u0439\u043c\u0430\u0454\u0442\u044c\u0441\u044f, \u0430 \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-ca4a2499b93203ce31a36a1cbacbcc8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"|-1,94|=1,94<1,984 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Se rechaza } H_1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"432\" style=\"vertical-align: -5px;\"><\/p><\/p>\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\u0438 \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0443 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0446\u0456 \u0442\u0430 \u0434\u043b\u044f \u0447\u043e\u0433\u043e \u0432\u043e\u043d\u0430 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f. \u041a\u0440\u0456\u043c \u0442\u043e\u0433\u043e, \u0432\u0438 \u0434\u0456\u0437\u043d\u0430\u0454\u0442\u0435\u0441\u044c, \u044f\u043a \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0443 \u0433\u0456\u043f\u043e\u0442\u0435\u0437\u0438 \u0449\u043e\u0434\u043e \u0440\u0456\u0437\u043d\u0438\u0446\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0456 \u043f\u043e\u043a\u0440\u043e\u043a\u043e\u0432\u043e \u0440\u043e\u0437\u0432\u2019\u044f\u0437\u0430\u043d\u0443 \u0432\u043f\u0440\u0430\u0432\u0443. \u0429\u043e \u0442\u0430\u043a\u0435 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