The importance of the underlying assumption of normality behind a one-sample means test
A) depends on how fussy you are.
B) depends on the sample size.
C) depends on whether you are solving for t or z .
D) doesn't depend on anything.

Question

Quizplus · Accepted Answer

The importance of the assumption of normality in a one-sample means test is significantly influenced by the sample size. For smaller samples, the assumption of normality is crucial for the validity of the test results. However, as the sample size increases, the Central Limit Theorem suggests that the sampling distribution of the mean approaches a normal distribution, making the normality assumption less critical.

The Importance of the Underlying Assumption of Normality Behind a One-Sample