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29 April, 06:11

What is the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students in the previous problem? (Round your answer to 4 decimal places.

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  1. 29 April, 07:48
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    the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

    Step-by-step explanation:

    From the five randomly selected students; 160, 175, 163, 149, 153

    mean average of the students = 160+175+163+149+153/5

    = mean = x-bar = 800/5

    mean x-bar = 160

    from probability distribution, P (x-bar > 160) = P[ x-bar - miu / SD > 160 - 150.8 / 3.94]

    P (Z>2.34) = from normal Z-distribution table

    = 0.0096419

    = 0.0096

    hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

    where SD = standard deviation = 3.94 and Miu = 150.8
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