t = df = P =
In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were reported for a sample of students who worked and for a sample of students who did not work. The samples were selected at random from working and nonworking students at a university. (Use a statistical computer package to calculate the P-value. Use ?employed − ?not employed. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)
| Sample Size |
Mean GPA |
Standard Deviation |
|
| Students Who Are Employed |
174 | 3.12 | 0.475 |
| Students Who Are Not Employed |
118 | 3.23 | 0.514 |
| t | = |
| df | = |
| P | = |
Does this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed? Use a significance level of 0.05.
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