HW MATH 16

16. [-/2.64 Points] DETAILS DEVORESTAT9 9.1.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time faculty? An article reported that for a sample of 125 courses taught by full- time faculty, the mean course GPA was 2.7386 and the standard deviation was 0.65342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8439 and 0.50241, respectively. Does it appear that true average course GPA for part-time faculty differs from that for faculty teaching full-time? Test the appropriate hypotheses at significance level 0.01. State the relevant hypotheses. O Ho: Mfull-time - Mpart-time = 0 Ha: Mfull-time - "part-time * 0 O Ho: Mfull-time - Mpart-time = 0 Ha: Mfull-time - "part-time 0 Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Reject Ho. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. O Fail to reject Ho. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. O Reject Ho. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. O Fail to reject Ho. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It