Solve the Problem $64.2$ Inches and a Standard Deviation Of $3.2$ Inches If 36 Women Are Selected at Random, Find the Heights

Multiple Choice

Solve the problem.
-In a population of 240 women, the heights of the women are normally distributed with a mean of $64.2$ inches and a standard deviation of $3.2$ inches. If 36 women are selected at random, find the mean $\mu _ { \mathrm { x } } ^ { - }$ and standard deviation $\sigma _ { \mathrm { x } } ^ { - }$ of the population of sample means. Assume that the sampling is done without replacement and use a finite population correction factor.

A) $64.2$ inches, $0.49$ inches
B) $59.3$ inches, $2.96$ inches
C) $64.2$ inches, $3.2$ inches
D) $64.2$ inches, $1.88$ inches