Suppose that you know that a variable is normally distributed on each of two populations. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. For each exercise, decide whether you would use the pooled or nonpooled t-test, and give a reason for your answer. The sample standard deviations are 23.6 and 25.2, and each sample size is 25.

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Suppose that you know that a variable is normally distributed on each of two populations. Further suppose that you want to perform a hypothesis test based on independent random samples to compare the two population means. For each exercise, decide whether you would use the pooled or nonpooled t-test, and give a reason for your answer.

The sample standard deviations are 23.6 and 25.2, and each sample size is 25.

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It is given that the sample standard deviations are 23.6 and 25.2. It can be observed that there is a very small difference between the two sample standard deviations. Hence it can be assumed that the populations are equal.

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