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# Hypothesis testing (5).docx

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School
McMaster University
Department
Statistics
Course
STATS 2B03
Professor
Aaron Childs
Semester
Fall

Description
October 23 , 2012 Stats 2B03: Statistical Methods for Science Hypothesis Testing (5) 6.4 & 7.3 C.I. and Testing for a Difference in Two Means - we are going to take independent random samples from two populations, and we want to estimate μ -μ1an2 test one of 1. H A μ 1μ 2 2. H A μ 1μ 2 3. H A μ 1μ 2 Small sample results (n <10 or n <32) - if 1 =σ 22  step 1: calculate 2 , where sp= is called the pooled √ sample variance  step 2: same as index card, but replace z by . A 100(1-α)% CI for μ1-μ2is X1avg-X2avg± √ ( ) ⁄  assumptions:  the samples are independent  both populations must be normal 2 2  the population variances must be equal (σ =σ 1 2 - if 1 ≠σ 22  step 1: calculate √  step 2: same as index card, but replace Z with t’ where ,  replace α by 1 – α in case I and II and by 1 - ⁄ in case III  A 100(1 – α)% confidence interval for μ -μ is
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