STAT 8010 Lecture Notes - Lecture 10: Sampling Distribution, Test Statistic, Statistical Hypothesis Testing
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Frequently, we are interested in comparing the means of two populations. For example, a company may want to compare the mean life of its battery with the mean life of a competitor"s battery. Another example would be a research lab that may be interested in comparing the effectiveness of two drug treatments for potential use in heart transplants. Some questions concerning the comparison of two population means. Properties of the sampling distribution of the difference of sample means. The mean of the sampling distribution is equal to the difference between the population means, ( 1 - 2). The standard error of the sampling distribution is. Either samples are drawn from normal distributions or large sample sizes are used. Variances for the two populations are equal. (example 1) Variances for the two populations are unequal. (example 2) Either samples are drawn from normal distributions or large sample sizes are used. (example 3)