{"id":290,"date":"2023-08-03T00:39:59","date_gmt":"2023-08-03T00:39:59","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d1%81%d1%82%d1%83%d0%b4%d0%b5%d0%bd%d1%87%d0%b5%d1%81%d0%ba%d0%b8%d0%b8-%d1%82%d0%b5%d1%81%d1%82\/"},"modified":"2023-08-03T00:39:59","modified_gmt":"2023-08-03T00:39:59","slug":"%d1%81%d1%82%d1%83%d0%b4%d0%b5%d0%bd%d1%87%d0%b5%d1%81%d0%ba%d0%b8%d0%b8-%d1%82%d0%b5%d1%81%d1%82","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d1%81%d1%82%d1%83%d0%b4%d0%b5%d0%bd%d1%87%d0%b5%d1%81%d0%ba%d0%b8%d0%b8-%d1%82%d0%b5%d1%81%d1%82\/","title":{"rendered":"\u0422-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0441\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430"},"content":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0438 \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043e\u043d \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0435. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u0442\u0441\u044f t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430, \u043a\u0430\u043a\u0438\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0442 \u0442\u0438\u043f\u044b t-\u0442\u0435\u0441\u0442\u043e\u0432 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0438 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0438\u0437 \u043d\u0438\u0445. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-prueba-t-de-student\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>T-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<\/strong> , \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0439 <strong>T-\u0442\u0435\u0441\u0442\u043e\u043c<\/strong> \u0438\u043b\u0438 \u043f\u0440\u043e\u0441\u0442\u043e <strong>t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0435\u043c<\/strong> , \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0442\u0435\u0441\u0442, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u0442\u0435\u0441\u0442\u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 <a href=\"https:\/\/statorials.org\/ru\/\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435-\u0441\u0442\u0443\u0434\u0435\u043d\u0442\u043e\u0432\/\">t-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<\/a> . \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0435 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u043f\u0440\u0438\u043d\u044f\u0442\u0438\u044f \u043d\u0443\u043b\u0435\u0432\u043e\u0439 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b.<\/p>\n<p> \u0412 \u0447\u0430\u0441\u0442\u043d\u043e\u0441\u0442\u0438, t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u043f\u0440\u0438 <a href=\"https:\/\/statorials.org\/ru\/\u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0430-\u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b-1\/\">\u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0435 \u0433\u0438\u043f\u043e\u0442\u0435\u0437<\/a> , \u043f\u0440\u0438 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0438\u0437\u0443\u0447\u0430\u0435\u043c\u0430\u044f \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u044c \u043f\u043e\u0434\u0447\u0438\u043d\u044f\u0435\u0442\u0441\u044f \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u043c\u0443 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e, \u043d\u043e \u0440\u0430\u0437\u043c\u0435\u0440 \u0432\u044b\u0431\u043e\u0440\u043a\u0438 \u0441\u043b\u0438\u0448\u043a\u043e\u043c \u043c\u0430\u043b, \u0447\u0442\u043e\u0431\u044b \u0443\u0437\u043d\u0430\u0442\u044c \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044e \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438.<\/p>\n<p> \u041a\u043e\u0440\u043e\u0447\u0435 \u0433\u043e\u0432\u043e\u0440\u044f, t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u043f\u0440\u0438\u043d\u044f\u0442\u0438\u044f \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u044b\u0445 \u0442\u0435\u0441\u0442\u043e\u0432 \u0433\u0438\u043f\u043e\u0442\u0435\u0437. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437 \u0434\u043b\u044f \u043e\u0434\u043d\u043e\u0439 \u0432\u044b\u0431\u043e\u0440\u043a\u0438, \u0434\u043b\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a \u0438\u043b\u0438 \u0434\u043b\u044f \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a. \u0417\u0430\u0442\u0435\u043c \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0432 \u043a\u0430\u0436\u0434\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-pruebas-t-de-student\"><\/span>\u0412\u0438\u0434\u044b t-\u0442\u0435\u0441\u0442\u043e\u0432 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u0440\u0438 <strong>\u0442\u0438\u043f\u0430 t-\u0442\u0435\u0441\u0442\u043e\u0432 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<\/strong> :<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u041e\u0434\u043d\u043e\u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u044b\u0439 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<\/strong> &#8212; \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438 \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u043e\u0433\u043e \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u041a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0434\u043b\u044f \u0434\u0432\u0443\u0445 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a<\/strong> : \u043f\u043e\u0437\u0432\u043e\u043b\u044f\u0435\u0442 \u043f\u0440\u043e\u0432\u0435\u0440\u0438\u0442\u044c \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443 \u043e \u0440\u0430\u0437\u043d\u0438\u0446\u0435 \u043c\u0435\u0436\u0434\u0443 \u0441\u0440\u0435\u0434\u043d\u0438\u043c\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u043c\u0438 \u0434\u0432\u0443\u0445 \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u041a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0434\u043b\u044f \u0434\u0432\u0443\u0445 \u043f\u0430\u0440\u043d\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a (\u0438\u043b\u0438 \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a)<\/strong> \u2013 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u043e \u0441\u0440\u0435\u0434\u043d\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438 \u0432\u044b\u0431\u043e\u0440\u043a\u0438, \u043f\u0440\u043e\u0432\u0435\u0440\u0435\u043d\u043d\u043e\u0439 \u0434\u0432\u0430\u0436\u0434\u044b.<\/span> <\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-t-de-student-para-una-muestra\"><\/span> \u041e\u0431\u0440\u0430\u0437\u0435\u0446 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041f\u0440\u043e\u0432\u0435\u0440\u043a\u0430 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u043e\u0433\u043e \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u2014 \u044d\u0442\u043e \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0430 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u043d\u0443\u043b\u0435\u0432\u0430\u044f \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0430 \u0438 \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0430\u044f \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0430 \u0442\u0435\u0441\u0442\u0430 \u0447\u0442\u043e-\u0442\u043e \u0433\u043e\u0432\u043e\u0440\u044f\u0442 \u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f.<\/p>\n<p> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u043e\u0434\u043d\u043e\u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u043e\u0433\u043e t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<\/strong> \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\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-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\"> \u0417\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> \u2014 \u044d\u0442\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u0434\u043b\u044f \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f t-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c \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-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> \u044d\u0442\u043e \u043e\u0431\u0440\u0430\u0437\u0435\u0446 \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-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> \u2014 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u043f\u0440\u0435\u0434\u043b\u043e\u0436\u0435\u043d\u043d\u043e\u0433\u043e \u043f\u0440\u0438 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0435 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b.<\/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> \u2014 \u0432\u044b\u0431\u043e\u0440\u043e\u0447\u043d\u043e\u0435 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0435 \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u0435.<\/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> \u044d\u0442\u043e \u0440\u0430\u0437\u043c\u0435\u0440 \u0432\u044b\u0431\u043e\u0440\u043a\u0438.<\/li>\n<\/ul>\n<p> \u041f\u043e\u0441\u043b\u0435 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u043d\u043e, \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0442\u0435\u0441\u0442\u0430 \u0441 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0434\u043e\u043b\u0436\u0435\u043d \u0431\u044b\u0442\u044c \u0438\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0438\u0440\u043e\u0432\u0430\u043d \u0434\u043b\u044f \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u044f \u0438\u043b\u0438 \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u044f \u043d\u0443\u043b\u0435\u0432\u043e\u0439 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0415\u0441\u043b\u0438 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0430 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u043e \u0441\u0440\u0435\u0434\u043d\u0435\u043c \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0434\u0432\u0443\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0435\u0439, \u043d\u0443\u043b\u0435\u0432\u0430\u044f \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0430 \u043e\u0442\u043a\u043b\u043e\u043d\u044f\u0435\u0442\u0441\u044f, \u0435\u0441\u043b\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u043f\u0440\u0435\u0432\u044b\u0448\u0430\u0435\u0442 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 t <sub>\u03b1\/2|n-1<\/sub> .<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0415\u0441\u043b\u0438 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0430 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u0434\u043b\u044f \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043f\u0440\u0430\u0432\u043e\u043c\u0443 \u0445\u0432\u043e\u0441\u0442\u0443, \u043d\u0443\u043b\u0435\u0432\u0430\u044f \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0430 \u043e\u0442\u043a\u043b\u043e\u043d\u044f\u0435\u0442\u0441\u044f, \u0435\u0441\u043b\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0431\u043e\u043b\u044c\u0448\u0435 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f t <sub>\u03b1|n-1<\/sub> .<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0415\u0441\u043b\u0438 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0430 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u0434\u043b\u044f \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043b\u0435\u0432\u043e\u043c\u0443 \u0445\u0432\u043e\u0441\u0442\u0443, \u043d\u0443\u043b\u0435\u0432\u0430\u044f \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0430 \u043e\u0442\u043a\u043b\u043e\u043d\u044f\u0435\u0442\u0441\u044f, \u0435\u0441\u043b\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u043c\u0435\u043d\u044c\u0448\u0435 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\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> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0442\u0435\u0441\u0442\u0430 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u044b \u0438\u0437 \u0442\u0430\u0431\u043b\u0438\u0446\u044b \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430. <\/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>\u0421\u043c.:<\/strong> <a href=\"https:\/\/statorials.org\/ru\/\u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0430-\u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b-\u043d\u0430-\u0441\u0440\u0435\u0434\u043d\u0435\u0435-\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\/\">\u041a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u0434\u043b\u044f \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f.<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-t-de-student-para-muestras-independientes\"><\/span> \u041a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0434\u043b\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u041a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0434\u043b\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f, \u0447\u0442\u043e\u0431\u044b \u043e\u0442\u0432\u0435\u0440\u0433\u043d\u0443\u0442\u044c \u0438\u043b\u0438 \u043f\u0440\u0438\u043d\u044f\u0442\u044c \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443 \u043e \u0432\u0437\u0430\u0438\u043c\u043e\u0441\u0432\u044f\u0437\u0438 \u043c\u0435\u0436\u0434\u0443 \u0441\u0440\u0435\u0434\u043d\u0438\u043c\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\u043c\u0438 \u0434\u0432\u0443\u0445 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0438\u0439, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u0442\u043e \u0441\u0440\u0435\u0434\u043d\u0438\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0438\u0439 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b \u0438\u043b\u0438 \u0447\u0442\u043e \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0439 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 A \u0431\u043e\u043b\u044c\u0448\u0435, \u0447\u0435\u043c \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 . \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u0435 \u0411.<\/p>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0430 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0432\u0430\u0440\u044c\u0438\u0440\u0443\u0435\u0442\u0441\u044f \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043e\u0442 \u0442\u043e\u0433\u043e, \u043c\u043e\u0436\u043d\u043e \u043b\u0438 \u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 \u0440\u0430\u0432\u043d\u044b\u043c\u0438 \u0438\u043b\u0438 \u043d\u0435\u0442. \u0417\u0430\u0442\u0435\u043c \u043c\u044b \u0443\u0432\u0438\u0434\u0438\u043c \u0434\u0432\u0430 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b\u0445 \u0441\u043b\u0443\u0447\u0430\u044f.<\/p>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-desconocidas-e-iguales\"><\/span> \u041d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0438 \u0440\u0430\u0432\u043d\u044b\u0435 \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u044f<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0434\u043b\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a, \u043a\u043e\u0433\u0434\u0430 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u044b\u0435 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b, \u043d\u043e \u0441\u0447\u0438\u0442\u0430\u044e\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u044b\u043c\u0438,<\/strong> \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\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-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\"> \u0417\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> \u2014 \u044d\u0442\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0441\u0440\u0435\u0434\u043d\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0441 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f\u043c\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 t-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0441 n <sub>1<\/sub> + n <sub>2<\/sub> -2 \u0441\u0442\u0435\u043f\u0435\u043d\u044f\u043c\u0438 \u0441\u0432\u043e\u0431\u043e\u0434\u044b.<\/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> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0440\u0435\u0434\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f 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> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0440\u0435\u0434\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f 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> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0440\u0435\u0434\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u043e\u0431\u0440\u0430\u0437\u0446\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> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0440\u0435\u0434\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u043e\u0431\u0440\u0430\u0437\u0446\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> \u2014 \u043e\u0431\u044a\u0435\u0434\u0438\u043d\u0435\u043d\u043d\u043e\u0435 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0435 \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u0435.<\/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\u0430\u0437\u043c\u0435\u0440 \u0432\u044b\u0431\u043e\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\u0430\u0437\u043c\u0435\u0440 \u0432\u044b\u0431\u043e\u0440\u043a\u0438 2.<\/li>\n<\/ul>\n<p> \u041e\u0431\u044a\u0435\u0434\u0438\u043d\u0435\u043d\u043d\u043e\u0435 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0435 \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u043f\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/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<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianzas-desconocidas-y-diferentes\"><\/span> \u041d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0435 \u0438 \u0440\u0430\u0437\u043d\u044b\u0435 \u0432\u0430\u0440\u0438\u0430\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p> <strong>\u041a\u043e\u0433\u0434\u0430 \u043f\u043e\u043f\u0443\u043b\u044f\u0446\u0438\u043e\u043d\u043d\u044b\u0435 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u0438 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b \u0438, \u0442\u0435\u043c \u0431\u043e\u043b\u0435\u0435, \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u0430\u0433\u0430\u044e\u0442\u0441\u044f \u0440\u0430\u0437\u043d\u044b\u043c\u0438, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0447\u0435\u0442\u0430 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0434\u043b\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a<\/strong> \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\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-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\"> \u0417\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> \u2014 \u044d\u0442\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u0434\u043b\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u044b \u0441\u0440\u0435\u0434\u043d\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0441 \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u043c\u0438 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f\u043c\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 t-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e \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> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0440\u0435\u0434\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f 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> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0440\u0435\u0434\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043d\u0430\u0441\u0435\u043b\u0435\u043d\u0438\u044f 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> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0440\u0435\u0434\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u043e\u0431\u0440\u0430\u0437\u0446\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> \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u0440\u0435\u0434\u043d\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u043e\u0431\u0440\u0430\u0437\u0446\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> &#8212; \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0435 \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u0435 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0439 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\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-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> &#8212; \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0435 \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u0435 \u0433\u0435\u043d\u0435\u0440\u0430\u043b\u044c\u043d\u043e\u0439 \u0441\u043e\u0432\u043e\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0438 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\u0430\u0437\u043c\u0435\u0440 \u0432\u044b\u0431\u043e\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\u0430\u0437\u043c\u0435\u0440 \u0432\u044b\u0431\u043e\u0440\u043a\u0438 2.<\/li>\n<\/ul>\n<p> \u041e\u0434\u043d\u0430\u043a\u043e \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0441\u0442\u0435\u043f\u0435\u043d\u0438 \u0441\u0432\u043e\u0431\u043e\u0434\u044b t-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u044e\u0442\u0441\u044f \u043f\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/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>\u0421\u043c.:<\/strong> <a href=\"https:\/\/statorials.org\/ru\/\u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0430-\u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b-\u043d\u0430-\u0440\u0430\u0437\u043d\u0438\u0446\u0443-\u0441\u0440\u0435\u0434\u043d\u0438\u0445-\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438\/\">\u041a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b \u043e \u0440\u0430\u0437\u043d\u0438\u0446\u0435 \u0441\u0440\u0435\u0434\u043d\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439.<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-t-de-student-para-muestras-pareadas-o-relacionadas\"><\/span> \u041a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0434\u043b\u044f \u043f\u0430\u0440\u043d\u044b\u0445 \u0438\u043b\u0438 \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u042d\u0442\u043e\u0442 \u0442\u0435\u0441\u0442 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f, \u043a\u043e\u0433\u0434\u0430 \u0434\u0432\u0435 \u0438\u0437\u0443\u0447\u0430\u0435\u043c\u044b\u0435 \u0432\u044b\u0431\u043e\u0440\u043a\u0438 \u0441\u0432\u044f\u0437\u0430\u043d\u044b \u0434\u0440\u0443\u0433 \u0441 \u0434\u0440\u0443\u0433\u043e\u043c, \u0442\u0430\u043a \u0447\u0442\u043e \u0444\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u044d\u0442\u043e \u043e\u0434\u043d\u0430 \u0432\u044b\u0431\u043e\u0440\u043a\u0430 \u043e\u0441\u043e\u0431\u0435\u0439, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u043b\u0430\u0441\u044c \u0434\u0432\u0430\u0436\u0434\u044b (\u043a\u0430\u0436\u0434\u044b\u0439 \u0440\u0430\u0437 \u0432 \u0440\u0430\u0437\u043d\u044b\u0445 \u0443\u0441\u043b\u043e\u0432\u0438\u044f\u0445).<\/p>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u043e\u0446\u0435\u043d\u043a\u0438 \u0443\u0447\u0430\u0449\u0438\u0445\u0441\u044f \u043f\u043e \u043a\u0443\u0440\u0441\u0443 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438, \u0447\u0442\u043e\u0431\u044b \u0443\u0432\u0438\u0434\u0435\u0442\u044c, \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043b\u0438 \u0437\u043d\u0430\u0447\u0438\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0440\u0430\u0437\u043d\u0438\u0446\u0430 \u043c\u0435\u0436\u0434\u0443 \u0441\u0440\u0435\u0434\u043d\u0438\u043c\u0438 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044f\u043c\u0438 \u043f\u043e \u0434\u0432\u0443\u043c \u043f\u0440\u0435\u0434\u043c\u0435\u0442\u0430\u043c. \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043e\u0446\u0435\u043d\u043a\u0430 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0443\u0447\u0430\u0449\u0435\u0433\u043e\u0441\u044f \u043f\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0435 \u0441\u0432\u044f\u0437\u0430\u043d\u0430 \u0441 \u043e\u0446\u0435\u043d\u043a\u043e\u0439 \u0442\u043e\u0433\u043e \u0436\u0435 \u0443\u0447\u0430\u0449\u0435\u0433\u043e\u0441\u044f \u043f\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0435.<\/p>\n<p> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0434\u043b\u044f \u043f\u0430\u0440\u043d\u044b\u0445 \u0438\u043b\u0438 \u0441\u0432\u044f\u0437\u0430\u043d\u043d\u044b\u0445 \u0432\u044b\u0431\u043e\u0440\u043e\u043a<\/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-8dd7c22ea301c71dac72ee39ce2e1972_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle t=\\frac{\\overline{x_D}-\\mu_D}{\\displaystyle \\frac{s_D}{\\sqrt{n}}} \" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"100\" style=\"vertical-align: -34px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u0417\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> \u2014 \u044d\u0442\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437 \u0434\u043b\u044f \u043f\u0430\u0440\u043d\u044b\u0445 \u0441\u0440\u0435\u0434\u043d\u0438\u0445, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f t-\u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435\u043c \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-aa774a67ebe93af6717679d0fca9e8b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_D}\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"23\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u2014 \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432\u044b\u0431\u043e\u0440\u043a\u0438, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u043e\u0439 \u0440\u0430\u0437\u043d\u0438\u0446\u0435\u0439 \u0434\u0430\u043d\u043d\u044b\u0445.<\/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-2df477ea5937645e4858aa3fdc9d699a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_D\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u2014 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0441\u0440\u0435\u0434\u043d\u0435\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u043f\u0440\u0435\u0434\u043b\u043e\u0436\u0435\u043d\u043d\u043e\u0433\u043e \u043f\u0440\u0438 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0435 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b.<\/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-67e59a42de9fb7b544e3bbd8030feba5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_D\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"19\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u2014 \u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u043e\u0435 \u043e\u0442\u043a\u043b\u043e\u043d\u0435\u043d\u0438\u0435 \u0432\u044b\u0431\u043e\u0440\u043a\u0438, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u043d\u043e\u0435 \u0440\u0430\u0437\u043d\u0438\u0446\u0435\u0439 \u0434\u0430\u043d\u043d\u044b\u0445.<\/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> \u044d\u0442\u043e \u0440\u0430\u0437\u043c\u0435\u0440 \u0432\u044b\u0431\u043e\u0440\u043a\u0438. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"asunciones-de-la-prueba-t-de-student\"><\/span> \u041f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f t-\u0442\u0435\u0441\u0442\u0430 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0414\u043b\u044f \u043f\u0440\u043e\u0432\u0435\u0434\u0435\u043d\u0438\u044f t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0434\u043e\u043b\u0436\u043d\u044b \u0431\u044b\u0442\u044c \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u044b \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u044f:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u041d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0441\u0442\u044c<\/strong> \u2013 \u0434\u0430\u043d\u043d\u044b\u0435 \u0432\u044b\u0431\u043e\u0440\u043a\u0438 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u044b.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u0421\u043b\u0443\u0447\u0430\u0439\u043d\u043e\u0441\u0442\u044c<\/strong> : \u0432\u044b\u0431\u043e\u0440\u043a\u0438 \u0434\u0430\u043d\u043d\u044b\u0445 \u0431\u044b\u043b\u0438 \u0432\u044b\u0431\u0440\u0430\u043d\u044b \u0441\u043b\u0443\u0447\u0430\u0439\u043d\u044b\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u041e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u043e\u0441\u0442\u044c<\/strong> : \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0438\u044f \u0432\u044b\u0431\u043e\u0440\u043a\u0438 \u0434\u0430\u043d\u043d\u044b\u0445 \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u0430.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u041d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0441\u0442\u044c<\/strong> \u2013 \u0440\u0430\u0441\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u044e\u0449\u0435\u0435 \u0432\u044b\u0431\u043e\u0440\u043a\u0443 \u0434\u0430\u043d\u043d\u044b\u0445, \u043f\u0440\u0438\u043c\u0435\u0440\u043d\u043e \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u043d\u043e\u0435.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hacer-una-prueba-t-de-student\"><\/span> \u041a\u0430\u043a \u043f\u0440\u043e\u0439\u0442\u0438 t-\u0442\u0435\u0441\u0442 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u0432\u043a\u0440\u0430\u0442\u0446\u0435, \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e \u043e\u043f\u0438\u0441\u0430\u043d\u044b \u0448\u0430\u0433\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0434\u043b\u044f \u043f\u0440\u043e\u0432\u0435\u0434\u0435\u043d\u0438\u044f t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430.<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">\u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435 <a href=\"https:\/\/statorials.org\/ru\/\u043d\u0443\u043b\u0435\u0432\u0430\u044f-\u0438-\u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0430\u044f-\u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0430\/\">\u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0438 \u0430\u043b\u044c\u0442\u0435\u0440\u043d\u0430\u0442\u0438\u0432\u043d\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b<\/a> \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">\u0423\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0435 <a href=\"https:\/\/statorials.org\/ru\/\u0443\u0440\u043e\u0432\u0435\u043d\u044c-\u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0441\u0442\u0438\/\">\u0443\u0440\u043e\u0432\u0435\u043d\u044c \u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0441\u0442\u0438 (\u03b1)<\/a> \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0438 \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u044b.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">\u0423\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044c, \u0447\u0442\u043e \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044e\u0442\u0441\u044f.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">\u041f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0438 \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0443 \u0442\u0435\u0441\u0442\u0430.<\/span><\/li>\n<li style=\"margin-bottom:20px\"> <span style=\"color:#101010;font-weight: normal;\">\u0418\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0438\u0440\u0443\u0439\u0442\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u044f \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430, \u0441\u0440\u0430\u0432\u043d\u0438\u0432 \u0435\u0433\u043e \u0441 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0442\u0435\u0441\u0442\u0430.<\/span><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0438 \u0434\u043b\u044f \u0447\u0435\u0433\u043e \u043e\u043d \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0432 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0435. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u0442\u0441\u044f t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430, \u043a\u0430\u043a\u0438\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044e\u0442 \u0442\u0438\u043f\u044b t-\u0442\u0435\u0441\u0442\u043e\u0432 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 \u0438 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0434\u043b\u044f \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0438\u0437 \u043d\u0438\u0445. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430? T-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0439 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 , \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0439 T-\u0442\u0435\u0441\u0442\u043e\u043c \u0438\u043b\u0438 \u043f\u0440\u043e\u0441\u0442\u043e t-\u043a\u0440\u0438\u0442\u0435\u0440\u0438\u0435\u043c , \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u0442\u0435\u0441\u0442, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-290","post","type-post","status-publish","format-standard","hentry","category-14"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 t-\u0442\u0435\u0441\u0442 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0430<\/title>\n<meta name=\"description\" content=\"\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 t-\u0442\u0435\u0441\u0442 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430, \u043a\u0430\u043a \u043e\u043d \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u0442\u0441\u044f, \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 \u0442\u0438\u043f\u044b t-\u0442\u0435\u0441\u0442\u043e\u0432 \u0421\u0442\u044c\u044e\u0434\u0435\u043d\u0442\u0430 (\u0444\u043e\u0440\u043c\u0443\u043b\u044b) \u0438 \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/ru\/\u0441\u0442\u0443\u0434\u0435\u043d\u0447\u0435\u0441\u043a\u0438\u0438-\u0442\u0435\u0441\u0442\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 t-\u0442\u0435\u0441\u0442 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0430\" \/>\n<meta property=\"og:description\" content=\"\u0417\u0434\u0435\u0441\u044c \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 t-\u0442\u0435\u0441\u0442 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