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 2.7186 and the standard deviation was 0.67342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.53241, 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.H0: ?full-time − ?part-time = 0Ha: ?full-time − ?part-time < 0H0: ?full-time − ?part-time = 0Ha: ?full-time − ?part-time ≠ 0 H0: ?full-time − ?part-time = 0Ha: ?full-time − ?part-time > 0H0: ?full-time − ?part-time = 0Ha: ?full-time − ?part-time ≥ 0H0: ?full-time − ?part-time = 0Ha: ?full-time − ?part-time ≤ 0Calculate 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.Reject H0. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.Fail to reject H0. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. Reject H0. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.Fail to reject H0. 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. 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 2.7186 and the standard deviation was 0.67342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.53241, 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: Hfull-time - Hpart-time = 0Ha: Hfull-time - Hpart-time <0O Ho: Hfull-time= 0Hpart-timeHa: Hfull-time - Hpart-time + 0O Ho: Hfull-time - Hpart-time= 0H: Hfull-timePpart-time> 0O Ho: Hfull-time= 0Hpart-timeHa: Hfull-time - Hpart-time > 0O Ho: Hfull-time - "part-time = 0Ha: Hfull-time - Hpart-time < 0Calculate 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.

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 2.7186 and the standard deviation was 0.67342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.53241, 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: Htull-time - Hpart-time= 0 Ha: Hfull-time - "part-time <0 O Ho: Htull-time - Hpart-time = 0 Ha: Htull-time - Hpart-time * 0 O Ho: Hfull-time - "part-time =0 H: Hfull-time - Hoart-time > 0 O Ho: Hfull-time - "part-time =D Ha: Hfull-time - Hpart-time 2 0 O Ho: Hull-time - Hpart-time = 0 H3: Hfull-time - Hpart-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.) 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 H,. 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 H,. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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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 2.7186 and the standard deviation was 0.67342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.53241, 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.

H₀: ?_full-time − ?_part-time = 0
H_a: ?_full-time − ?_part-time < 0H₀: ?_full-time − ?_part-time = 0
H_a: ?_full-time − ?_part-time ≠ 0 H₀: ?_full-time − ?_part-time = 0
H_a: ?_full-time − ?_part-time > 0H₀: ?_full-time − ?_part-time = 0
H_a: ?_full-time − ?_part-time ≥ 0H₀: ?_full-time − ?_part-time = 0
H_a: ?_full-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.

Reject H₀. The data does not suggest that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.Fail to reject H₀. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time. Reject H₀. The data suggests that the true average course GPA for part-time faculty differs from that for faculty teaching full-time.Fail to reject H₀. 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.