For sample size 16,the sampling distribution of the mean will be approximately normally distributed
A)regardless of the shape of the population.
B)if the shape of the population is symmetrical.
C)if the sample standard deviation is known.
D)if the sample is normally distributed.

Question

Quizplus · Accepted Answer

According to Central Limit Theorem, if the sample size is large enough (more than 30) or the population distribution is normal, then the sampling distribution of the mean will be approximately normally distributed regardless of the shape of the population. However, for sample sizes less than 30, if the population is not normal, the sampling distribution of the mean will only be approximately normal if the population distribution is symmetrical.

For Sample Size 16,the Sampling Distribution of the Mean Will