In a study of the effect of college student employment on academic performance,

Question

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.)

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.

YesNo   

Explanation / Answer

Part-a

From following resutls

T-Value = -1.88 P-Value = 0.062 DF = 288

Part-b

Yes

Two-Sample T-Test and CI

Sample N Mean StDev SE Mean
1 170 3.120 0.475 0.036
2 120 3.230 0.514 0.047

Difference = (1) - (2)
Estimate for difference: -0.1100
90% CI for difference: (-0.2067, -0.0133)
T-Test of difference = 0 (vs ): T-Value = -1.88 P-Value = 0.062 DF = 288

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