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    Histogram and Level of Significance

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    A civil service exam is given to 200 job applicants. In recent years, grades have followed a normal distribution with mean 66.5 and variance 100. The grades of the job applicants are distributed as follows:

    Grades Observed Frequency
    Under 49.5 22
    49.5 - 59.5 38
    59.5 - 69.5 56
    69.5 - 79.5 50
    79.5 and over 34

    a) Graph the observed frequencies on a histogram. Does the histogram appear to have the shape of a normal distribution with mean 66.5 and variance 100?

    b) Test the hypothesis that the data came from a normal distribution with mean 66.5 and variance 100. Use a 5% level of significance.

    © BrainMass Inc. brainmass.com June 3, 2020, 8:26 pm ad1c9bdddf
    https://brainmass.com/statistics/histogram/histogram-level-significance-137480

    Solution Summary

    The solution graphs the observed frequencies on a histogram, and tests the data .

    $2.19

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