Question

Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions:

Part A: What is the standard deviation of the sampling distribution of x? Show your work

Part B: what does the sample size need to be if you want the standard deviation of the sampling distribution of c to be2.8? Show your work.

Answer 1

Explanation:

The mean of the sampling distribution is equal to the mean of the population. Therefore, we use the standard deviation of the sampling distribution of the means formula.

The standard deviation of the sampling distribution of the means is 2.656.

With a new population standard deviation of 2.8, the sampling size, n, is 9.