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24 May, 02:18

Let X be the height, in inches, of American men. The mean and standard deviation for American men's height are 69 inches and 3 inches, respectively. What are the mean and standard deviation for the mean of height of 25 randomly selected American men?

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  1. 24 May, 02:36
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    Step-by-step explanation:

    Given that X is the height, in inches, of American men. The mean and standard deviation for American men's height are 69 inches and 3 inches, respectively.

    X is N (69,3)

    If a sample of 25 american men are selected the mean would remain the same.

    But std dev becomes 3/sqrt 25=0.60

    Hence sample height will follow

    N (69, 0.60)
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