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

question 20

Multiple Choice

In a population of 210 women, the heights of the women are normally distributed with a mean of $64.9$ inches and a standard deviation of $3.2$ inches. If 49 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) 64.9 inches, 3.2 inches
• B) 64.9 inches, 2.19 inches
• C) 64.9 inches, 0.4 inches
• D) 57 inches, 2.81 inches

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