Ap Stats Questions Pls Help!

Question

Given a population mean of 41.8 with a standard deviation of 5.2 and a sample size of 9, answer these questions: (10 points)

Part A: What is the standard deviation of the sampling distribution of x̄? Show your work. (5 points)

Part B: What does the sample size need to be if you want the standard deviation of the sampling distribution of x̄ to be 2.6? Show your work. 

Answer 1

A: 5.2/sqrt(9) = 1.733

B. 2.6 = 5.2/sqrt(n)

sqrt(n) = 2

n = 4