Suppose that you want to perform a hypothesis test based on independent simple random samples to compare the means of two populations. Further suppose that the variable under consideration is normally distributed on each of the two populations and that the population standard deviations are unknown. If the sample standard deviations are 3.8 and 6.1, respectively, and the sample sizes are 25 and 60, respectively, would you use the pooled or the nonpooled t-test? Explain your answer.

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The Answer of Suppose that you want to perform a hypothesis test based on independent simple random samples to compare the means of two populations. Further suppose that the variable under consideration is normally distributed on each of the two populations and that the population standard deviations are unknown. If the sample standard deviations are 3.8 and 6.1, respectively, and the sample sizes are 25 and 60, respectively, would you use the pooled or the nonpooled t-test? Explain your answer.

Suppose That You Want to Perform a Hypothesis Test Based