For a sample size of 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 the Central Limit Theorem, the sampling distribution of the mean will be approximately normally distributed if the sample size is sufficiently large (n > 30) or the population is normally distributed. However, for smaller sample sizes, like in this case (n=16), the sampling distribution of the mean will be approximately normally distributed only if the shape of the population is symmetrical. Therefore, choice B is the best choice.

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