# Math 540

posted by
**Cassie**
.

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).