When testing for the significance of the difference between sample means with small samples, the proper sampling distribution is________.
A) the alpha distribution.
B) the beta distribution.
C) the Z distribution.
D) the t distribution.

Question

Quizplus · Accepted Answer

The t distribution is the appropriate sampling distribution to use when testing for the significance of the difference between sample means with small samples. This is because the t distribution takes into account the smaller sample sizes and the increased variability that comes with them, whereas the Z distribution assumes larger sample sizes and a known population standard deviation. The alpha and beta distributions are not relevant to this type of hypothesis testing.

When Testing for the Significance of the Difference Between Sample