STATS 2B03 Study Guide - Midterm Guide: Statistical Hypothesis Testing, Variance, Confidence Interval

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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, October 23rd, 2012 and we want to estimate 1- 2 and test one of: ha: 1> 2, ha: 1< 2, ha: 1 2. Small sample results (n1<30 or n2<30) if 12= 22. Step 2: same as index card, but replace z by . A 100(1- )% ci for 1- 2 is x1avg-x2avg . Both populations must be normal the population variances must be equal ( 12= 22) if 12 22. Step 2: same as index card, but replace z with t" where. Replace by 1 in case i and ii and by 1 - A 100(1 )% confidence interval for 1- 2 is. Example: test h0: 1= 2 ha: 1 2 using =0. 5, where 1 is the average cholesterol level for men, and 2 for women.

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