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30 December, 11:31

A college administrator states that the average high school GPA for incoming freshman is normally distributed with a mean equal to 3.30 and a standard deviation equal to. 20. If students with a GPA in the top 10% will be offered a scholarship, then what is the minimum GPA required to receive the scholarship?

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  1. 30 December, 11:38
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    Step-by-step explanation:

    First, we get the z score from the given left tailed area. As

    Left tailed area = 1 - 0.10 = 0.9

    Then, using table or technology,

    z = 1.281551566

    As x = u + z * s,

    where

    u = mean = 3.3

    z = the critical z score = 1.281551566

    s = standard deviation = 0.2

    Then

    x = critical value = 3.556310313
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