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29 April, 07:08

Assume that the heights of adult caucasian women have a mean of 63.6 inches and a standard deviation of 2.5 inches. if 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. round to four decimal places.

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  1. 29 April, 08:36
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    The probability that the mean height is greater than 63 in will be given by:

    z-score

    z = (x-μ) / σ

    z = (63.6-63) / 2.5

    z=0.24

    The probability will be:

    P (X≥63) = 1 - (P=z)

    =1-0.6331

    =0.3669
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