When is it appropriate to use the pooled two-sample t-methods? Choose the correc
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Question
When is it appropriate to use the pooled two-sample t-methods? Choose the correct answer below A. Use the pooled two-sample t-methods when the distribution of the difference in sample means is known to be skewed. B. Use the pooled two-sample t-methods when the samples come from different populations with the same, or nearly the same standard deviations. C. Use the pooled two-sample t-methods when the samples come from populations with different standard deviations D. Use the pooled two-sample t-methods when the population standard deviations are known.Explanation / Answer
Answer is B. Use the pooled two-sample t-methods when the samples come from different populations with the same or nearly the same standard deviations.
A is not an aswer because, one of the assumptions of t-test is that the sample means should be normally distributed. Hence, if the sample means are skewed we can use the t-test
C is not an answer because, if the samples come from population with different standard deviations, then the pooled t-test can't be used, as the pooled standard deviation in mentioned only for the equal or approximately equal standard deviations.
D is not an answer, becuase, 1. If we know the population standard deviation t-test will not be used. 2. However, the standard deviation should be approximately equal to use pooled two-sample t-method
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