Solve the Problem $\mu _ { X } ^ { - }$

Multiple Choice

Solve the problem.
-In a population of 210 women, the heights of the women are normally distributed with a mean of 64.4 inches and a standard deviation of 2.9 inches. If 36 women are selected at random, find the mean $\mu _ { X } ^ { - }$ and standard
Deviation $\sigma _ { x }^ { - }$ of the population of sample means. Assume that the sampling is done without replacement and
Use a finite population correction factor.

A) 58.8 inches, 2.65 inches
B) 64.4 inches, 2.07 inches
C) 64.4 inches, 2.9 inches
D) 64.4 inches, 0.44 inches