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.
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At α = 0.01 ; the result is insignificant.H0 : μ1 – μ2 = 0H1 : μ1 – μ2 ≠ 0-1. 340.1837Full time :n1 = 125x1 = 2.7386s1 = 0.65342Part time :n2 = 88x2 = 2.8439s2 = 0.49241H0 : μ1 – μ2 = 0H1 : μ1 – μ2 ≠ 0Test statistic :The test statistic :(x1 – x2) / sqrt[(s1²/n1 + s2²/n2)](2.7386 – 2.8439) / sqrt[(0.65342²/125 + 0.49241²/88)]−0.1053 / sqrt(0.0034156615712 + 0.0027553)-0.1053 /0.0785554= – 1.34Test statistic = – 1.34The P value :Using df = smaller n – 1 = 88 – 1 = 87P value from test statistic score ;P value = 0.1837P value > α ; We fail to reject the null and conclude that the GPA does not differ.At α = 0.01 ; the result is insignificant.Learn more about statistic here ;https://brainly.com/question/15525560#SPJ4