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Unformatted text preview: Chapter 10: Estimation and Hypothesis Testing: Two Populations Bin Wang bwang@jaguar1.usouthal.edu Department of Mathematics and Statistics University of South Alabama Mann E6 1/50 Parameter(s) of interests The differences between the two population means: 1 2 . Mann E6 2/50 Parameter(s) of interests The differences between the two population means: 1 2 . What are we going to do? Or, what will you be required to do? Or what will be tested? Mann E6 2/50 Parameter(s) of interests The differences between the two population means: 1 2 . What are we going to do? Or, what will you be required to do? Or what will be tested? 1 Find a (1 )100% confidence interval for 1 2 . Mann E6 2/50 Parameter(s) of interests The differences between the two population means: 1 2 . What are we going to do? Or, what will you be required to do? Or what will be tested? 1 Find a (1 )100% confidence interval for 1 2 . 2 Test a hypothesis about 1 2 . Mann E6 2/50 Notations Suppose we select two samples from two different populations that are referred to population 1 and population 2. Let 1 = the mean of population 1, 2 = the mean of population 2, 1 = the standard deviation of population 1, 2 = the standard deviation of population 2, n 1 = the size of sample drawn from population 1, n 2 = the size of sample drawn from population 2, x 1 = the mean of sample drawn from population 1, x 2 = the mean of sample drawn from population 2, s 1 = the standard deviation of sample 1, s 2 = the standard deviation of sample 2, Mann E6 3/50 Point estimator Can you find a point estimator for 1 2 ? Mann E6 4/50 Point estimator Can you find a point estimator for 1 2 ? x 1 x 2 . Mann E6 4/50 Point estimator Can you find a point estimator for 1 2 ? x 1 x 2 . 1 What is the mean of x 1 x 2 ? Mann E6 4/50 Point estimator Can you find a point estimator for 1 2 ? x 1 x 2 . 1 What is the mean of x 1 x 2 ? x 1 x 2 = x 1 x 1 = 1 2 Mann E6 4/50 Point estimator Can you find a point estimator for 1 2 ? x 1 x 2 . 1 What is the mean of x 1 x 2 ? x 1 x 2 = x 1 x 1 = 1 2 2 What is the standard deviation of x 1 x 2 : Mann E6 4/50 Point estimator Can you find a point estimator for 1 2 ? x 1 x 2 . 1 What is the mean of x 1 x 2 ? x 1 x 2 = x 1 x 1 = 1 2 2 What is the standard deviation of x 1 x 2 : x 1 x 2 ? Mann E6 4/50 Point estimator Can you find a point estimator for 1 2 ? x 1 x 2 . 1 What is the mean of x 1 x 2 ?...
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This note was uploaded on 02/10/2012 for the course ST 210 taught by Professor Wangs during the Fall '09 term at S. Alabama.
 Fall '09
 Wangs

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