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 2.7286 and the standard deviation was 0.66342, 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.

α = 0.01; the result isinsignificant.H0 : μ1 – μ2 = 0H1 : μ1 – μ2 ≠ 0-1. 340.1837Full time:Part time:Test statistic:The test statistic :Test statistic = – 1.34df=smallern – 1 = 88 – 1 =87P valuefrom test statistic score ;P value = 0.1837P value > α; We fail to reject the null and conclude that the GPA does not differ.α = 0.01; the result isinsignificant.statistichere;