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

question 50

Multiple Choice

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

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