Question

In order to use the formula to calculate the standard deviation of the sampling distribution of the sample mean, which of the following conditions must be met?

*I. n>30
II. The population's distribution is approximately Normal.
III. The sample size is less than 10% of the population size.*

(a) I only
(b) II only
(c) III only
(d) III and either I or II
(e) All three conditions must be met.

Answer 1

The conditions that must be met to calculate the standard deviation of the sampling distribution of the sample mean are that the population's distribution must be approximately Normal and the sample size must be less than 10% of the population size.

Step-by-step explanation:

The conditions that must be met in order to use the formula to calculate the standard deviation of the sampling distribution of the sample mean are:

1. The population's distribution is approximately Normal.
2. The sample size is less than 10% of the population size.

Therefore, the correct answer is (c) III only.