Question

Given a population mean of 41.8 with a standard deviation of 5.2 and a sample size
of 9, answer these questions:
Part A: What is the standard deviation of the sampling distribution or 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 2.6? Show your work. (5 points)
O
Format

Answer 1

Answer:

A. The standard deviation of the sampling distribution of x is o / √n, where o is the standard deviation and n is the sample size.

o = 5.2

n = 9

5.2/√9

1.733333333

B. To solve this problem, we take the same formula from part A and work backwards, solving for n, the sample size.

2.6 = 5.2/√n

(2.6)√n = 5.2

√n = 5.2/2.6

√n = 2

n = 4

Explanation:

This formula sheet: