If selecting samples of si $\mathrm { n } = 10$ from a population with a known mean and standard deviation,what requirement, if any, must be satisfied in order to assume that the distribution of the sample means is a normal distribution?
A) The population must have a standard deviation of 1.
B) The population must have a normal distribution.
C) None; the distribution of sample means will be approximately normal.
D) The population must have a mean of 0.

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the distribution of sample means will be approximately normal if the population distribution is normal or if the sample size is large enough (usually n > 30). Since n = 10, the population must be normally distributed.

If Selecting Samples of Si n=10\mathrm { n } = 10n=10

If Selecting Samples of Si $\mathrm { n } = 10$