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21 October, 00:21

The director of a MPA program finds the incoming 200 students in the department with a mean GPA of 3.04 and a standard deviation of. 57. Assuming that students' GAPs are normally distributed, what is the range of GPA of 95% students

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  1. 21 October, 01:02
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    The range of GPA of 95% students is from 1.9 to 3.18.

    Step-by-step explanation:

    The Empirical Rule states that, for a normally distributed random variable:

    68% of the measures are within 1 standard deviation of the mean.

    95% of the measures are within 2 standard deviation of the mean.

    99.7% of the measures are within 3 standard deviations of the mean.

    In this problem, we have that:

    Mean = 3.04

    Standard deviation = 0.57

    Assuming that students' GAPs are normally distributed, what is the range of GPA of 95% students

    Within 2 standard deviations of the mean

    3.04 - 2*0.57 = 1.9

    3.04 + 2*0.57 = 3.18

    The range of GPA of 95% students is from 1.9 to 3.18.
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