# Math 540

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The Department of Management Science at Tech has sampled 250 of its majors and compiled the following frequency distribution of grade point averages (on a 4.0 scale) for the previous semester.

GPA Frequency

0-0.5 1
0.5-1.0 4
1.0-1.5 20
1.5-2.0 35
2.0-2.5 67
2.5-3.0 58
3.0-3.5 47
3.5-4.0 18
250

The sample mean - for this distribution is 2.5 and the sample standard deviation (s) is
X

0.72. Determine if the student GPAs are normally distributed using a .05 level of significance (i.e. a = .05).

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