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 2.8439 and 0.52241, 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: μ_full-time − μ_part-time = 0
H_a: μ_full-time − μ_part-time ≥ 0H₀: μ_full-time − μ_part-time = 0
H_a: μ_full-time − μ_part-time ≠ 0    H₀: μ_full-time − μ_part-time = 0
H_a: μ_full-time − μ_part-time > 0H₀: μ_full-time − μ_part-time = 0
H_a: μ_full-time − μ_part-time ≤ 0H₀: μ_full-time − μ_part-time = 0
H_a: μ_full-time − μ_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.

Answer 1