{"id":261,"date":"2023-08-03T10:49:10","date_gmt":"2023-08-03T10:49:10","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%80%e1%80%bd%e1%80%b2%e1%80%9c%e1%80%bd%e1%80%b2%e1%80%99%e1%80%be%e1%80%af%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-%e1%80%9a%e1%80%b0%e1%80%86%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba-%e1%80%85\/"},"modified":"2023-08-03T10:49:10","modified_gmt":"2023-08-03T10:49:10","slug":"%e1%80%80%e1%80%bd%e1%80%b2%e1%80%9c%e1%80%bd%e1%80%b2%e1%80%99%e1%80%be%e1%80%af%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-%e1%80%9a%e1%80%b0%e1%80%86%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba-%e1%80%85","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%80%e1%80%bd%e1%80%b2%e1%80%9c%e1%80%bd%e1%80%b2%e1%80%99%e1%80%be%e1%80%af%e1%80%a1%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba-%e1%80%9a%e1%80%b0%e1%80%86%e1%80%81%e1%80%bb%e1%80%80%e1%80%ba-%e1%80%85\/","title":{"rendered":"\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u104b"},"content":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101f\u1030\u101e\u100a\u103a \u1019\u100a\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1015\u103c\u102e\u1038\u1010\u1005\u103a\u1001\u102f \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-prueba-de-hipotesis-para-la-varianza\"><\/span> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038<\/strong> \u101e\u100a\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a\u104a \u101c\u1030\u1026\u1038\u101b\u1031\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a\u1015\u1010\u103a\u101e\u1000\u103a\u101e\u100a\u1037\u103a \u1021\u101a\u1030\u1021\u1006\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u101b\u1014\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u101b\u1014\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n<p> \u1021\u1010\u102d\u1021\u1000\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u104d null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u1015\u102b\u101e\u100a\u103a\u104b<\/p>\n<p> \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u1019\u100a\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1011\u102c\u1038\u1015\u102b\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u101a\u1030\u1021\u1006 \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1019\u103b\u102c\u1038\u104a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101f\u102f\u101c\u100a\u103a\u1038 \u1001\u1031\u102b\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-varianza\"><\/span> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a Hypothesis Testing Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 \u1021\u1014\u102f\u1010\u103a\u101c\u1000\u1039\u1001\u100f\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f \u1010\u1005\u103a\u1000\u103c\u102d\u1019\u103a\u1014\u103e\u1004\u1037\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f \u1021\u1006\u102d\u102f\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1015\u102d\u102f\u1004\u103a\u1038\u1001\u103c\u102c\u1038\u101e\u100a\u1037\u103a \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101e\u100a\u103a\u104b \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1004\u103a <a href=\"https:\/\/statorials.org\/my\/\u1001\u103b\u102e\u1005\u1010\u102f\u101b\u1014\u103a\u1038-\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104b\/\">\u1001\u103b\u102e\u1005\u1010\u102f\u101b\u1014\u103a\u1038 \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f<\/a> \u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a <strong>\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a hypothesis test statistic \u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c<\/strong> \u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u101b\u103d\u103e\u1031-<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-984dc78529fc235b078a9f3b62d0f0c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> Chi-square \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ab572e85f9cb7cb6f495387f2a6ab0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c6d52162ef1ec2e8130fb00687aca707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u1021\u1006\u102d\u102f\u1015\u103c\u102f\u1011\u102c\u1038\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<\/ul>\n<p> \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u101b\u1014\u103a\u104a \u101b\u101b\u103e\u102d\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u103d\u1004\u103a \u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1014\u1031\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7bd4ac2951fb286bf19797944cba6955_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha\/2|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"81\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1014\u100a\u103a\u1038\u1014\u1031\u1015\u102b\u1000\u104a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-931a3f10ab51df1c9003e6cb593907c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha\/2|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -8px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1019\u103e\u1014\u103a\u1000\u1014\u103a\u101e\u1031\u102c\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a\u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1014\u1031\u1015\u102b\u1000 null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u101e\u100a\u103a\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-243ef3cc114070613fd8bee8c61f8c13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"67\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> .<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u101e\u100a\u103a \u1018\u101a\u103a\u1018\u1000\u103a\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u102f\u1000\u103a\u100a\u102e\u1015\u102b\u1000\u104a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a\u1014\u100a\u103a\u1038\u1015\u102b\u1000 \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u102c\u1014\u103a\u1038\u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1019\u100a\u103a\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0436c61e0bdff7a21f6e6ab296607c66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -8px;\"><\/p>\n<p><\/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-ca46378c1a2ee04b5cc5bfa93002fe9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha\/2|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si }\\chi^2<\\chi^2_{\\alpha\/2|n-1}\\text{ se rechaza } H_0 \\\\[3ex]H_1: \\sigma^2> \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2< \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2<\\chi^2_{\\alpha|n-1}\\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"489\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c \u101a\u1030\u1006\u1001\u103b\u1000\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f chi-square \u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\u1007\u101a\u102c\u1038\u1019\u103e \u101b\u101a\u1030\u1015\u102b\u101e\u100a\u103a\u104b Chi-square \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1012\u102e\u1002\u101b\u102e\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 \u1021\u1014\u102f\u1010\u103a 1 \u1016\u103c\u1005\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b\u104b <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-prueba-de-hipotesis-para-la-varianza\"><\/span> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a Hypothesis Testing \u104f \u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1000\u1019\u1039\u1018\u102c\u1014\u1019\u1030\u1014\u102c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u104f \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1001\u103b\u1000\u103a\u1014\u103e\u1004\u1037\u103a \u104e\u1004\u103a\u1038\u104f\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u101e\u100a\u103a \u1021\u1018\u101a\u103a\u1021\u101b\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u1000\u103c\u100a\u1037\u103a\u101b\u103e\u102f\u1015\u103c\u102e\u1038\u1014\u1031\u102c\u1000\u103a\u104a \u101e\u1018\u1031\u102c\u1010\u101b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1015\u103c\u102e\u1038 \u1021\u1015\u103c\u102e\u1038\u101e\u1010\u103a\u101b\u1014\u103a \u1001\u102d\u102f\u1004\u103a\u1019\u102c\u101e\u1031\u102c\u1025\u1015\u1019\u102c\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1010\u103d\u1031\u1037\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<ul>\n<li> \u1005\u1000\u103a\u101b\u102f\u1036\u1010\u1005\u103a\u101b\u102f\u1036\u1010\u103d\u1004\u103a \u1010\u102d\u1000\u103b\u1019\u103e\u102f\u1019\u103c\u1004\u1037\u103a\u1019\u102c\u1038\u101e\u1031\u102c \u1000\u102c\u1038\u1010\u1005\u103a\u1005\u102e\u1038\u1021\u1010\u103d\u1000\u103a \u1021\u1005\u102d\u1010\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101e\u100a\u1037\u103a \u1005\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d\u101e\u100a\u103a\u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u104e\u1004\u103a\u1038\u101e\u100a\u103a \u1021\u101d\u1031\u1038\u101e\u102d\u102f\u1037 \u101b\u103d\u1031\u1037\u101e\u103d\u102c\u1038\u1000\u102c \u101a\u1001\u102f\u1021\u1001\u102b 8 mm <sup>2<\/sup> \u1011\u1000\u103a\u1000\u103c\u102e\u1038\u101e\u1031\u102c \u1000\u103d\u102c\u101f\u1001\u103b\u1000\u103a\u101b\u103e\u102d\u101e\u1031\u102c \u1021\u1005\u102d\u1010\u103a\u1021\u1015\u102d\u102f\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u1014\u1031\u1015\u103c\u102e\u101f\u102f \u101e\u1036\u101e\u101a\u1016\u103c\u1005\u103a\u1016\u103d\u101a\u103a\u101b\u103e\u102d\u101e\u100a\u103a\u104b \u1024\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1001\u103b\u1031\u1015\u101b\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u1014\u1019\u1030\u1014\u102c 25 \u1001\u102f\u1000\u102d\u102f \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u104f\u1014\u1019\u1030\u1014\u102c\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101e\u100a\u103a 9.1 mm <sup>2<\/sup> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1000\u1014\u1026\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u101e\u102d\u101e\u102c\u1011\u1004\u103a\u101b\u103e\u102c\u1038\u101e\u1031\u102c\u1021\u1006\u1004\u1037\u103a \u03b1=0.05 \u1016\u103c\u1004\u1037\u103a \u1015\u101a\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u101c\u102c\u1038\u104b<\/li>\n<\/ul>\n<p> \u1024 varianance hypothesis test \u1021\u1010\u103d\u1000\u103a null hypothesis \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038 hypothesis \u1019\u103e\u102c \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a \u104b<\/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-95b4fefa064ecb8bcdccd355ef3904a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\sigma^2=8 \\\\[2ex] H_1:\\sigma^2>8 \\end{cases}&#8221;  title=&#8221; Rendered by QuickLaTeX.com&#8221;  height=&#8221; 65&#8243; width=&#8221; 101&#8243; style=&#8221; vertical-align: 0px;&#8221; ><\/p>\n<\/p>\n<p> null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u1016\u103c\u1005\u103a\u1005\u1031 \u1019\u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a\u104a \u1021\u1011\u1000\u103a\u1010\u103d\u1004\u103a\u1019\u103c\u1004\u103a\u1001\u1032\u1037\u101b\u101e\u1031\u102c \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a- <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-93abb2abcb6878bd1ae0de3d331a67a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(25-1)\\cdot 9,1}{8}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"145\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-15f5c32cdf68c77a76adeb32af123a01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=27,3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u101a\u1001\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a Chi-square \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1007\u101a\u102c\u1038\u101b\u103e\u102d 24 \u1012\u102e\u1002\u101b\u102e \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a \u03b1=0.05 \u1021\u1010\u103d\u1000\u103a \u100a\u102c\u1018\u1000\u103a\u1021\u1019\u103c\u102e\u1038\u1014\u103e\u1004\u1037\u103a \u101e\u1000\u103a\u1006\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u1014\u1031\u101e\u100a\u103a-<\/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-c0c6c817db31742b8faad397988d3db5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\chi^2_{1-\\alpha|n-1}=\\ \\color{orange}\\bm{?}\\color{black}\\\\[2ex]\\chi^2_{0,95|24}=36,415\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"200\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u101e\u100a\u103a \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f \u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1011\u1000\u103a \u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u1019\u100a\u103a\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1021\u102c\u1038 \u1015\u101a\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b <\/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-9cc9224f9bcfd311e7dda07696f30d1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"27,3<36,415 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{No se rechaza } H_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"380\" style=\"vertical-align: -4px;\"><\/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>\u1000\u103c\u100a\u1037\u103a\u1015\u102b-<\/strong> <a href=\"https:\/\/statorials.org\/my\/\u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a-hypothesis-test\/\">\u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u1000\u103c\u100a\u1037\u103a\u1015\u102b-<\/strong> <a href=\"https:\/\/statorials.org\/my\/\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a-hypothesis-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\/\">\u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-la-varianza-de-dos-poblaciones\"><\/span> \u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u104f \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u101e\u1031\u102c\u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f \u1010\u1030\u100a\u102e\u101e\u100a\u103a\u101f\u1030\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u101b\u1014\u103a \u1021\u101a\u1030\u1021\u1006\u1014\u103e\u1005\u103a\u1001\u102f \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b<\/p>\n<p> \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1015\u1031\u102b\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u101e\u100a\u103a \u1021\u1019\u103c\u1032\u1010\u1019\u103a\u1038\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a-<\/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-558a070923ca8d1fb80943f6aa9ec3c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"H_0: \\sigma^2_1=\\sigma^2_2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u101a\u1030\u1006\u1001\u103b\u1000\u103a \u101e\u100a\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1005\u101b\u102c \u101e\u102f\u1036\u1038\u1001\u102f\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a \u104b<\/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-2ad02ce3bff3905a34a0ba9b6f8d98cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1:\\sigma^2_1\\neq \\sigma^2_2\\\\[2ex]H_1:\\sigma^2_1>\\sigma^2_2\\\\[2ex]H_1:\\sigma^2_1<\\sigma^2_2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"97\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u1024\u1000\u102d\u1005\u1039\u1005\u1010\u103d\u1004\u103a\u104a \u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1019\u103e\u102c-<\/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-589dc6352e9cf19954c33b5beb5b0770_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=\\cfrac{s_1^2}{s_2^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"56\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> \u101b\u103d\u103e\u1031-<\/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-88df03c55e081c7cd9da4e7d74ba7265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/snedecor-\u104f\u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\/\">F \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f<\/a> \u1014\u1031\u102c\u1000\u103a\u1006\u1000\u103a\u1010\u103d\u1032\u1016\u103c\u1005\u103a\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u1014\u103e\u1005\u103a\u1001\u102f\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c2e8ce841b1fc1e199b133e6f24f6f51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_1^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u101c\u1030\u1026\u1038\u101b\u1031 \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f \u1041\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d5fd430c9ff19057933c215e683ace41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_2^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u101c\u1030\u1026\u1038\u101b\u1031 \u1000\u103d\u1032\u1015\u103c\u102c\u1038\u1019\u103e\u102f \u1042\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-59ae3c411ec80f65d56e397f87d29753_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_1^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c 1 \u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c785df8c080b6984c6205f881426fb10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_2^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u1014\u1019\u1030\u1014\u102c 2 \u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/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> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 1 \u1016\u103c\u1005\u103a\u1015\u102b\u1010\u101a\u103a\u104b<\/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> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 2 \u1016\u103c\u1005\u103a\u1015\u102b\u1010\u101a\u103a\u104b<\/li>\n<\/ul>\n<p> Snedecor F \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1038\u100a\u102e\u100a\u102e\u1019\u101f\u102f\u1010\u103a\u101e\u100a\u1037\u103a\u1021\u1010\u103d\u1000\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1005\u1036\u1014\u103e\u102f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1021\u1015\u1031\u102b\u103a\u1021\u1001\u103c\u1031\u1001\u1036\u104d null hypothesis \u1000\u102d\u102f \u1015\u101a\u103a\u1001\u103b\u101e\u100a\u103a-<\/p>\n<p> [latex]\\begin{array}{l}H_1- \\sigma_1^2\\neq \\sigma_2^2 \\ \\color{orange}\\bm{longrightarrow}\\color{black} \\text{Si } F&gt;F_{ 1-\\alpha\/2|n_1-1|n_2-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma_1^2\\neq \\sigma_2^2 \\ \\color{orange}\\bm{longrightarrow }\\color{black} \\text{ \u1021\u1000\u101a\u103a\u104d }F<f_{\\alpha 2|n_1-1|n_2-1}\\text{=\"\" se=\"\" rechaza=\"\" }=\"\" h_0=\"\" \\\\[3ex]h_1:=\"\" \\sigma_1^2=\"\"> \\sigma_2^2 \\ \\color{orange}\\bm{longrightarrow}\\color{black} \\text{If } F&gt;F_{1-\\alpha|n_1-1|n_2-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma_1^2&lt; \\sigma_2^2 \\color{orange}\\bm{longrightarrow}\\color{black} \\text{Si } F<\/f_{\\alpha><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101f\u1030\u101e\u100a\u103a \u1019\u100a\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1010\u103d\u1031\u1037\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038\u104a \u1011\u102d\u102f\u1037\u1021\u1015\u103c\u1004\u103a \u101c\u1031\u1037\u1000\u103b\u1004\u1037\u103a\u1001\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1015\u103c\u102e\u1038\u1010\u1005\u103a\u1001\u102f \u1021\u1006\u1004\u1037\u103a\u1006\u1004\u1037\u103a\u1016\u103c\u1031\u101b\u103e\u1004\u103a\u1038\u1011\u102c\u1038\u101e\u100a\u103a\u104b \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u1010\u103d\u1031\u1038\u1001\u1031\u102b\u103a\u1019\u103e\u102f\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038 \u101e\u100a\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038 \u101b\u103e\u102d\u104a\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1010\u1005\u103a\u1014\u100a\u103a\u1038\u1006\u102d\u102f\u101b\u101e\u1031\u102c\u103a\u104a \u101c\u1030\u1026\u1038\u101b\u1031\u104f\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a\u1015\u1010\u103a\u101e\u1000\u103a\u101e\u100a\u1037\u103a \u1021\u101a\u1030\u1021\u1006\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1006\u102d\u102f\u101b\u1014\u103a \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u101b\u1014\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u101a\u1030\u1006\u1001\u103b\u1000\u103a\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a\u104b \u1021\u1010\u102d\u1021\u1000\u103b\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1014\u103e\u1004\u1037\u103a \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u104d null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1001\u103c\u1004\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u101c\u1000\u103a\u1001\u1036\u1015\u102b\u101e\u100a\u103a\u104b \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1005\u103a\u1006\u1031\u1038\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u1019\u100a\u103a\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1019\u103e\u1010\u103a\u101e\u102c\u1038\u1011\u102c\u1038\u1015\u102b\u104a \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u101a\u1030\u1021\u1006 \u1006\u1014\u1037\u103a\u1000\u103b\u1004\u103a\u1018\u1000\u103a\u1019\u103b\u102c\u1038\u104a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Variance Hypothesis Testing \u2013 \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1014\u103e\u1004\u1037\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038<\/title>\n<meta name=\"description\" content=\"\u1024\u1006\u1031\u102c\u1004\u103a\u1038\u1015\u102b\u1038\u1010\u103d\u1004\u103a \u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101e\u102e\u1021\u102d\u102f\u101b\u102e\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u101f\u1030\u101e\u100a\u103a 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