Given a population mean of 53.7 with a standard deviation of 1.3 and a sample size of 6, answer these questions:

Part A: What is the standard deviation of the sampling distribution of X? 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 x to be 0.325? Show your work. (5 points) (10 points)