Independent simple random samples of sizes 120 and 150 are taken from two populations with the intent of performing a hypothesis test to compare the means. Prior data analyses have indicated that the two population standard deviations are equal; however, the variable under consideration is not normally distributed on either population. Is it reasonable to use the pooled t-test in this situation? Explain your answer.

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The Answer of Independent simple random samples of sizes 120 and 150 are taken from two populations with the intent of performing a hypothesis test to compare the means. Prior data analyses have indicated that the two population standard deviations are equal; however, the variable under consideration is not normally distributed on either population. Is it reasonable to use the pooled t-test in this situation? Explain your answer.

Independent Simple Random Samples of Sizes 120 and 150 Are