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.
a. 40
b. 50
c. 100
d. 30

Explanation:

Step1: Recall Central Limit Theorem

The Central Limit Theorem states that if 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.

Step2: Determine the threshold

If \(n < 30\), the sample must come from a normally - distributed population to ensure that the sampling distribution of \(\bar{x}\) is normal.

Answer:

D. 30