Under what circumstances is distribution of sample means normal?
A)It is always normal
B)Only if the population distribution is normal
C)If the sample size is greater than 30
D)If the population is normal or if the sample size is greater than 30

Question

Under what circumstances is distribution of sample means normal?​
A)It is always normal​
B)​Only if the population distribution is normal
C)​If the sample size is greater than 30
D)​If the population is normal or if the sample size is greater than 30

Quizplus · Accepted Answer

The distribution of sample means is normal if either the population is normal or the sample size is greater than 30 due to the Central Limit Theorem. Therefore, choice D is the best answer.

Under What Circumstances Is Distribution of Sample Means Normal?​

Under What Circumstances Is Distribution of Sample Means Normal?