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Unformatted text preview: 1 Module 13a Inferences for Two Population Means In Modules 10-12 we developed techniques for constructing • Confidence Intervals for One Mean • Hypothesis Tests for One Mean Is this the skull of a man or woman? Suppose we wish to quantify differences in skull circumference for men and women or We wish to test the claim that men have larger skulls than women. Where do we start? 2 Process for Comparing Two Population Means Population of Men Population of Women Sample 1 Sample 2 Compute Sample Mean 1 Compute Sample Mean 2 Compare Sample Means Make Decision But, HOW to compare the sample means? Suppose: and represent the sample means from populations 1 and 2, respectively. 1 1 1 ~ ( , ) X N n σ μ 1 X 2 X 2 2 2 ~ ( , ) X N n σ μ and gives 2 2 1 2 1 2 1 2 ~ , X X N n n σ σ μ μ -- + Using our knowledge of the Normal distribution gives: 1 2 1 2 2 2 1 2 ( ) ( ) 1.96 1.96 0.95 X X P n n μ μ σ σ ---- < < = + ...
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This note was uploaded on 09/26/2009 for the course OM 550 taught by Professor Kin during the Spring '09 term at Universidad Católica del Maule.
- Spring '09