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Unformatted text preview: April 16 th Section 7.5 Two-sample tests Pooled-variance t-test- Pivotal Quantity method- Likelihood Ratio test Comparing two population means Example. There are 2 populations. The first population is about men and the second is about women. Paired sample approach Population 1 [Sample 1] Population 2 [Sample 2] Paired difference Pair 1 150 140 10 Pair 2 137 167-30 Pair 3 172 155 17 There can be three cases. : : 0( ) : : M W d M W a M W a d H H H H = = =- : : 0( ) : : M W d M W a M W a d H H H H = = =- f f : : 0( ) : : M W d M W a M W a d H H H H = = =- p p Data for d is paired difference in the above example. The confidence Interval for d the confidence interval for ( ) M W - 1 unpaired data [Independent Samples] Population 1 (Men) [Sample 1] Population 2 (Women) [Sample 2] 1 X 1 Y 2 X 2 Y 1 n X 2 n Y Assumptions for pooled-variance t-test for Independent Samples 1. Both populations are normal...
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- Spring '08