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13 December, 04:51

A social researcher has constructed a measure of racial prejudice and obtained a distribution of scores on this measure from a randomly selected sample of public office holders. the scores were normally distributed with a mean of 45 and a standard deviation of 7. what is the approximate probability that a randomly selected case from the sample will have a score less than 38?

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  1. 13 December, 05:16
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    To answer the problem mentioned above, below is the detailed solution:

    z (38) = (38-45) / 7]

    -7/7 = - 1

    Z = - 1

    P (x < 38) = P (z < - 1) = normalcdf

    (-100,-1) = 0.1587

    Therefore probability that a randomly selected case from the sample will have a score less than 38 is 0.1587
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