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

question 27

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