Question

fill in the blank.
if a sample size is less than ______, the sample size must come from a population having a normal distribution in order to follow normal distribution calculations.

oa. 100
ob. 30
oc. 40
od. 50

Explanation:

According to the Central Limit Theorem, when the sample size \(n\geq30\), the sampling distribution of the sample mean \(\bar{x}\) is approximately normal regardless of the shape of the population distribution. But when \(n < 30\), the sample must come from a normally - distributed population to ensure that the sampling distribution of the sample mean (or other statistics used in normal - distribution - based calculations) follows a normal distribution.

Answer:

B. 30