In a Population of 210 Women, the Heights of the Women

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 $\mu _ { \bar { x } }$ and standard deviation $\sigma _ { \bar { x } }$ of the population of sample means. Assume that the sampling is done without replacement and use a finite population correction factor.

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