If selecting samples of si $\mathrm { n } 30$ 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) None; the distribution of sample means will be approximately normal.
B) The population must have a normal distribution.
C) The population must have a standard deviation of 0.
D) The mean must be equal to the standard deviation.

Question

If selecting samples of si $\mathrm { n } > 30$ 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) None; the distribution of sample means will be approximately normal.
B) The population must have a normal distribution.
C) The population must have a standard deviation of 0.
D) The mean must be equal to the standard deviation.

Quizplus · Accepted Answer

According to the Central Limit Theorem, for sample sizes greater than 30, the distribution of sample means will be approximately normal regardless of the population's distribution.

If Selecting Samples of Si n>30\mathrm { n } > 30n>30

If Selecting Samples of Si $\mathrm { n } > 30$