Statistics

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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 x and stand deviation sigma x of the population of sample means. Assume that the sampling is done without replacement and use a finite population correction factor.


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

Please show work

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