{"id":1228,"date":"2023-07-27T05:20:12","date_gmt":"2023-07-27T05:20:12","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%9a%e1%80%af%e1%80%b6%e1%80%80%e1%80%bc%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af%e1%80%80%e1%80%bc%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ac%e1%80%9c-r\/"},"modified":"2023-07-27T05:20:12","modified_gmt":"2023-07-27T05:20:12","slug":"%e1%80%9a%e1%80%af%e1%80%b6%e1%80%80%e1%80%bc%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af%e1%80%80%e1%80%bc%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ac%e1%80%9c-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%9a%e1%80%af%e1%80%b6%e1%80%80%e1%80%bc%e1%80%8a%e1%80%ba%e1%80%99%e1%80%be%e1%80%af%e1%80%80%e1%80%bc%e1%80%ac%e1%80%b8%e1%80%80%e1%80%ac%e1%80%9c-r\/","title":{"rendered":"R \u1010\u103d\u1004\u103a confidence intervals \u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u101b\u103e\u102c\u101b\u1019\u101c\u1032 (\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/a> \u101e\u100a\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d <a href=\"https:\/\/statorials.org\/my\/\u1000\u102d\u1014\u103a\u1038\u1002\u100f\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a-\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u101c\u1030\u1026\u1038\u101b\u1031\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1015\u102b<\/a> \u1040\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101b\u103e\u102d\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b \u101a\u1031\u1018\u102f\u101a\u103b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1021\u101b \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/strong> = (\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1021\u1019\u103e\u1010\u103a) +\/- (\u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038)* (\u1005\u1036\u1021\u1019\u103e\u102c\u1038)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u101e\u100a\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1001\u103b\u102d\u102f\u1037\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1040\u1004\u103a\u101e\u1031\u102c \u1021\u1014\u102d\u1019\u1037\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u1015\u1031\u102b\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1018\u1031\u102c\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/strong> = [\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u104a \u1021\u1011\u1000\u103a\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a]<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a R \u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Confidence \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1021\u1010\u103d\u1000\u103a \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4.<\/strong> \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101e\u103d\u102c\u1038\u1000\u103c\u101b\u1021\u1031\u102c\u1004\u103a!<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 1- \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f<\/a> \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c = <span style=\"text-decoration: overline;\">x<\/span> +\/- t <sub>n-1\u104a 1-\u03b1\/2<\/sub> *(s\/\u221an)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong> \u1014\u1019\u1030\u1014\u102c\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>t:<\/strong> t-\u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> \u1014\u1019\u1030\u1014\u102c\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c-<\/strong> \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1000\u103b\u1015\u1014\u103a\u1038\u101c\u102d\u1015\u103a\u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1005\u102f\u1006\u1031\u102c\u1004\u103a\u1038\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 <strong>n = 25<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1014\u1019\u1030\u1014\u102c\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a <strong><span style=\"text-decoration: overline;\">x<\/span> = 300<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a <strong>s = 18.5<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u101c\u102d\u1015\u103a\u101c\u1030\u1026\u1038\u101b\u1031\u104f \u1005\u1005\u103a\u1019\u103e\u1014\u103a\u101e\u1031\u102c\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#input sample size, sample mean, and sample standard deviation\n<\/span>n &lt;- 25\nxbar &lt;- 300 \ns &lt;- 18.5\n\n<span style=\"color: #008080;\">#calculate margin of error\n<\/span>margin &lt;- qt(0.975,df=n-1)*s\/sqrt(n)\n\n<span style=\"color: #008080;\">#calculate lower and upper bounds of confidence interval\n<\/span>low &lt;- xbar - margin\nlow\n\n[1] 292.3636\n\nhigh &lt;- xbar + margin\nhigh\n\n[1] 307.6364\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1005\u1005\u103a\u1019\u103e\u1014\u103a\u101e\u1031\u102c\u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u101c\u102d\u1015\u103a\u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u101e\u100a\u103a <strong>[292.36\u104a 307.64]<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 2- \u1021\u1013\u102d\u1015\u1039\u1015\u102b\u101a\u103a\u1019\u103e\u102c \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f-\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u101c\u1030\u1026\u1038\u101b\u1031 \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f<\/a> \u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/strong> = ( <span style=\"text-decoration: overline;\">x<\/span> <sub>1<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> <sub>2<\/sub> ) +\/- t*\u221a((s <sub>p<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> ) + (s <sub>p<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> ))<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><span style=\"text-decoration: overline;\">x<\/span> <sub>1<\/sub> \u104a <span style=\"text-decoration: overline;\">x<\/span> <sub>2<\/sub> : \u1014\u1019\u1030\u1014\u102c 1 \u104f \u1006\u102d\u102f\u101c\u102d\u102f\u1001\u103b\u1000\u103a \u104a \u1014\u1019\u1030\u1014\u102c 2 \u104f \u1006\u102d\u102f\u101c\u102d\u102f\u1001\u103b\u1000\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\">t- \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1014\u103e\u1004\u1037\u103a \u101c\u103d\u1010\u103a\u101c\u1015\u103a\u1019\u103e\u102f (n <sub>1<\/sub> + n <sub>2<\/sub> -2) \u1012\u102e\u1002\u101b\u102e\u1015\u1031\u102b\u103a\u1019\u1030\u1010\u100a\u103a\u104d t-\u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u104a<\/span><\/li>\n<li> <span style=\"color: #000000;\">s <sub>p<\/sub> <sup>2<\/sup> : \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1015\u103a\u1000\u103d\u1032\u101c\u103d\u1032\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a\u104a ((n <sub>1<\/sub> -1)s <sub>1<\/sub> <sup>2<\/sup> + (n <sub>2<\/sub> -1)s <sub>2<\/sub> <sup>2<\/sup> ) \/ (n <sub>1<\/sub> +n <sub>2<\/sub> -2)<\/span><\/li>\n<li> <span style=\"color: #000000;\">t: t-\u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\">n <sub>1<\/sub> \u104a n <sub>2<\/sub> : \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 1\u104a \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 2<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c-<\/strong> \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u101c\u102d\u1015\u103a\u1019\u103b\u102d\u102f\u1038\u1005\u102d\u1010\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u101c\u1031\u1038\u1001\u103b\u102d\u1014\u103a\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1011\u102d\u102f\u1037\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1019\u103e \u101c\u102d\u1015\u103a \u1041\u1045 \u1000\u1031\u102c\u1004\u103a\u104f \u1000\u103b\u1015\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u1000\u1031\u102c\u1000\u103a\u101a\u1030\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1021\u1000\u103b\u1009\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u1012\u1031\u1010\u102c\u1016\u103c\u1005\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c 1-<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><span style=\"text-decoration: overline;\">x1<\/span> = <sub>310<\/sub><\/span><\/li>\n<li> <span style=\"color: #000000;\">s <sub>1<\/sub> = 18.5<\/span><\/li>\n<li> <span style=\"color: #000000;\">n <sub>1<\/sub> = 15<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c 2-<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><span style=\"text-decoration: overline;\">x2<\/span> <sub>=<\/sub> 300<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>s2<\/sub> = 16.4<\/span><\/li>\n<li> <span style=\"color: #000000;\"><sub>n2<\/sub> =15<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a \u101c\u1030\u1026\u1038\u101b\u1031\u104f \u1005\u1005\u103a\u1019\u103e\u1014\u103a\u101e\u1031\u102c\u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#input sample size, sample mean, and sample standard deviation\n<\/span>n1 &lt;- 15\nxbar1 &lt;- 310 \ns1 &lt;- 18.5\n\nn2 &lt;- 15\nxbar2 &lt;- 300\ns2 &lt;- 16.4\n\n<span style=\"color: #008080;\">#calculate pooled variance\n<span style=\"color: #000000;\">sp = ((n1-1)*s1^2 + (n2-1)*s2^2) \/ (n1+n2-2)<\/span>\n\n#calculate margin of error\n<\/span>margin &lt;- qt(0.975,df=n1+n2-1)*sqrt(sp\/n1 + sp\/n2)\n\n<span style=\"color: #008080;\">#calculate lower and upper bounds of confidence interval\n<\/span>low &lt;- (xbar1-xbar2) - margin\nlow\n\n[1] -3.055445\n\nhigh &lt;- (xbar1-xbar2) + margin\nhigh\n\n[1] 23.05544\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u101c\u1030\u1026\u1038\u101b\u1031\u104f\u1005\u1005\u103a\u1019\u103e\u1014\u103a\u101e\u1031\u102c\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u101e\u100a\u103a <strong>[-3.06\u104a 23.06]<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 3- \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f<\/a> \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c = p<\/strong> <strong>+\/- z*(\u221a <span style=\"text-decoration: overline;\">p(1-p) \/ n<\/span> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> \u1014\u1019\u1030\u1014\u102c\u1021\u1001\u103b\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>z-<\/strong> \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1011\u102c\u1038\u101e\u1031\u102c z \u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c-<\/strong> \u1025\u1015\u1012\u1031\u1010\u1005\u103a\u101b\u1015\u103a\u101b\u1015\u103a\u1000\u102d\u102f \u1011\u1031\u102c\u1000\u103a\u1001\u1036\u101e\u1031\u102c \u1001\u101b\u102d\u102f\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u1014\u1031\u1011\u102d\u102f\u1004\u103a\u101e\u1030 \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1014\u1031\u1011\u102d\u102f\u1004\u103a\u101e\u1030 100 \u1026\u1038\u104f \u1000\u103b\u1015\u1014\u103a\u1038\u1014\u1019\u1030\u1014\u102c\u1000\u102d\u102f \u101b\u103d\u1031\u1038\u1001\u103b\u101a\u103a\u1015\u103c\u102e\u1038 \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u104f \u101b\u1015\u103a\u1010\u100a\u103a\u1001\u103b\u1000\u103a\u1019\u103e\u102c \u1025\u1015\u1012\u1031\u1021\u1015\u1031\u102b\u103a \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101b\u103e\u102d\u101e\u1014\u100a\u103a\u1038\u101f\u102f \u1019\u1031\u1038\u1019\u103c\u1014\u103a\u1038\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u101e\u100a\u103a\u1019\u103e\u102c \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 <strong>n = 100<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1015\u100a\u1010\u1039\u1010\u102d <strong>\u1015\u1005\u1039\u1005\u101a\u1031\u102c = \u1040.\u1045\u1046<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1025\u1015\u1012\u1031\u1021\u102c\u1038 \u1014\u103e\u1005\u103a\u101e\u1000\u103a\u101e\u1031\u102c \u1001\u101b\u102d\u102f\u1004\u103a\u1021\u1010\u103d\u1004\u103a\u1038\u101b\u103e\u102d \u1014\u1031\u1011\u102d\u102f\u1004\u103a\u101e\u1030 \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#input sample size and sample proportion\n<\/span>n &lt;- 100\np &lt;- .56<span style=\"color: #008080;\">\n\n#calculate margin of error\n<\/span>margin &lt;- qnorm(0.975)*sqrt(p*(1-p)\/n)\n\n<span style=\"color: #008080;\">#calculate lower and upper bounds of confidence interval\n<\/span>low &lt;- p - margin\nlow\n\n[1] 0.4627099\n\nhigh &lt;- p + margin\nhigh\n\n[1] 0.6572901\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1012\u1031\u1000\u102d\u102f \u1011\u1031\u102c\u1000\u103a\u1001\u1036\u101e\u1031\u102c \u1001\u101b\u102d\u102f\u1004\u103a\u1010\u1040\u103e\u1019\u103a\u1038\u101b\u103e\u102d \u1014\u1031\u1011\u102d\u102f\u1004\u103a\u101e\u1030 \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1019\u103e\u1014\u103a\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f 95% \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103e\u102c <strong>[.463, .657]<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 4- \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/my\/\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u104f\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f<\/a> \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c = (p <sub>1<\/sub> \u2013p <sub>2<\/sub> ) +\/- z*\u221a(p <sub>1<\/sub> (1-p <sub>1<\/sub> )\/n <sub>1<\/sub> + p <sub>2<\/sub> (1-p <sub>2<\/sub> )\/n <sub>2<\/sub> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">p <sub>1<\/sub> \u104a p <sub>2<\/sub> : \u1014\u1019\u1030\u1014\u102c 1 \u1021\u1001\u103b\u102d\u102f\u1038\u104a \u1014\u1019\u1030\u1014\u102c 2 \u1021\u1001\u103b\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\">z- \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1015\u1031\u102b\u103a\u1021\u1001\u103c\u1031\u1001\u1036\u104d z-\u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/span><\/li>\n<li> <span style=\"color: #000000;\">n <sub>1<\/sub> \u104a n <sub>2<\/sub> : \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 1\u104a \u1014\u1019\u1030\u1014\u102c\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038 2<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c-<\/strong> \u1000\u1031\u102c\u1004\u103a\u1010\u102e A \u1010\u103d\u1004\u103a \u1025\u1015\u1012\u1031\u1010\u1005\u103a\u101b\u1015\u103a\u101b\u1015\u103a\u1000\u102d\u102f \u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1015\u1031\u1038\u101e\u100a\u1037\u103a \u1014\u1031\u1011\u102d\u102f\u1004\u103a\u101e\u1030\u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1000\u1031\u102c\u1004\u103a\u1010\u102e B \u101b\u103e\u102d \u1025\u1015\u1012\u1031\u1021\u102c\u1038 \u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1015\u1031\u1038\u101e\u100a\u1037\u103a \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1000\u103c\u102c\u1038 \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101c\u102d\u102f\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1014\u1019\u1030\u1014\u102c\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a \u1021\u1000\u103b\u1009\u103a\u1038\u1001\u103b\u102f\u1015\u103a\u1012\u1031\u1010\u102c\u1019\u103e\u102c \u1024\u1010\u103d\u1004\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c 1-<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">n <sub>1<\/sub> = 100<\/span><\/li>\n<li> <span style=\"color: #000000;\">p <sub>1<\/sub> = 0.62 (\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1025\u1015\u1012\u1031\u1000\u102d\u102f \u1011\u1031\u102c\u1000\u103a\u1001\u1036\u101e\u1030 100 \u1010\u103d\u1004\u103a 62 \u1026\u1038)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1014\u1019\u1030\u1014\u102c 2-<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><sub>n2<\/sub> = 100<\/span><\/li>\n<li> <span style=\"color: #000000;\">p <sub>2<\/sub> = 0.46 (\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1025\u1015\u1012\u1031\u1000\u102d\u102f \u1011\u1031\u102c\u1000\u103a\u1001\u1036\u101e\u1030 100 \u1010\u103d\u1004\u103a 46 \u1026\u1038)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1000\u102f\u1012\u103a\u101e\u100a\u103a \u1001\u101b\u102d\u102f\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1025\u1015\u1012\u1031\u1021\u102c\u1038 \u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1015\u1031\u1038\u101e\u100a\u1037\u103a \u1014\u1031\u1011\u102d\u102f\u1004\u103a\u101e\u1030 \u1021\u1001\u103b\u102d\u102f\u1038\u104f \u1005\u1005\u103a\u1019\u103e\u1014\u103a\u101e\u1031\u102c \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a 95% \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#input sample sizes and sample proportions\n<\/span>n1 &lt;- 100\np1 &lt;- .62\n\nn2 &lt;- 100\np2 &lt;- .46<span style=\"color: #008080;\">\n\n#calculate margin of error\n<\/span>margin &lt;- qnorm(0.975)*sqrt(p1*(1-p1)\/n1 + p2*(1-p2)\/n2)\n\n<span style=\"color: #008080;\">#calculate lower and upper bounds of confidence interval\n<\/span>low &lt;- (p1-p2) - margin\nlow\n\n[1] 0.02364509\n\n\nhigh &lt;- (p1-p2) + margin\nhigh\n\n[1] 0.2963549\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u1001\u101b\u102d\u102f\u1004\u103a\u1019\u103b\u102c\u1038\u1000\u103c\u102c\u1038 \u1025\u1015\u1012\u1031\u1000\u102d\u102f \u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1015\u1031\u1038\u101e\u1031\u102c \u1014\u1031\u1011\u102d\u102f\u1004\u103a\u101e\u1030 \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1010\u103d\u1000\u103a \u1005\u1005\u103a\u1019\u103e\u1014\u103a\u101e\u1031\u102c \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f 95% \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103e\u102c <strong>[0.024, 0.296]<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>\u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a R \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u1000\u102d\u102f <a href=\"https:\/\/statorials.org\" target=\"_blank\" rel=\"noopener noreferrer\">\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a<\/a> \u101b\u103e\u102c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c \u101e\u100a\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1010\u1005\u103a\u1001\u102f\u101b\u103e\u102d \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1015\u102b \u1040\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101b\u103e\u102d\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u1000\u103d\u102c\u1021\u101d\u1031\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u104e\u1004\u103a\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b \u101a\u1031\u1018\u102f\u101a\u103b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1021\u101b \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a- \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c = (\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103b\u1000\u103a\u1021\u1019\u103e\u1010\u103a) +\/- (\u1021\u101b\u1031\u1038\u1015\u102b\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038)* (\u1005\u1036\u1021\u1019\u103e\u102c\u1038) \u1024\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u101e\u100a\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1005\u102d\u1010\u103a\u1001\u103b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1001\u103b\u102d\u102f\u1037\u1015\u102b\u101b\u103e\u102d\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u1015\u102b\u1040\u1004\u103a\u101e\u1031\u102c \u1021\u1014\u102d\u1019\u1037\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1014\u103e\u1004\u1037\u103a \u1021\u1015\u1031\u102b\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1018\u1031\u102c\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1014\u103e\u1004\u1037\u103a \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u101e\u100a\u103a- \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c = [\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a\u104a \u1021\u1011\u1000\u103a\u1000\u1014\u1037\u103a\u101e\u1010\u103a\u1001\u103b\u1000\u103a] \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a R \u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b 1. \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b 2. Confidence \u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1021\u1010\u103d\u1000\u103a \u1001\u103c\u102c\u1038\u1014\u102c\u1038\u1001\u103b\u1000\u103a\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u104b 3. \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c 4. \u1021\u1001\u103b\u102d\u102f\u1038\u1021\u1005\u102c\u1038\u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c \u101e\u103d\u102c\u1038\u1000\u103c\u101b\u1021\u1031\u102c\u1004\u103a! \u1025\u1015\u1019\u102c 1- \u1006\u102d\u102f\u101c\u102d\u102f\u101b\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1010\u103d\u1000\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1000\u102d\u102f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R \u1010\u103d\u1004\u103a Confidence Intervals \u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u101b\u103e\u102c\u101b\u1019\u101c\u1032 (\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a)<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a R \u1010\u103d\u1004\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\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\/my\/\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c-r\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R \u1010\u103d\u1004\u103a Confidence Intervals \u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u101b\u103e\u102c\u101b\u1019\u101c\u1032 (\u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a)\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a R \u1010\u103d\u1004\u103a \u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/\u101a\u102f\u1036\u1000\u103c\u100a\u103a\u1019\u103e\u102f\u1000\u103c\u102c\u1038\u1000\u102c\u101c-r\/\" 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