Question

QUESTION 1: In Minitab, Answer the following questions for the set of data below. It represents data for students who took a test before a remedial refreshing course and for the same students after they took the refresher course. Before: 42, 73, 84, 95, 99 After: 64, 84, 94, 100, 98. a.) What type of test will you perform to see if there are differences. b.) At the significance level of 0.02, please state whether there is sufficient evidence the remedial refresher program worked. Please show output and the p-value and explain. c.) Is there evidence that the mean of the scores after a student takes the remedial class be greater than 85? What test would you use now? Please explain.

Answer 1

Before a 42, 73, 84, 95, 99 prar Affor: 64, 84, 94, 100, 98 Paradorld : 6990 dicatos Before 2.2 11 10 5 0 do 9 4 a = 9.4. (2.0971984 = 8.5029 e 49% 19 and on=50 a will Paired of test . are differences, perform to see if there b) Hypothesis, Hot Maco vs H: Mato Test statistic, t= d sdlun knatsosat = 9.4 85029/85 -2.4720 p-valu=2P(+ > 2.4720) at 57=4df. = 0.0688 fail to reject the mulh hypothesis at 0.02 significame level. Hence, there is not sufficient evidence the remedial refreshes program work at the 0.02 signifscance level c) After ñ= 88 8 = 14.7648 Hos M=85, H,: M785 to uM - 88-85 -0,4543 Slim 14.76481 . p-value = p > 0.4543) & 23366

Comment: The p-value is 0.3366 and more than 0.02 level of significance. So, fail to reject the null hypothesis and can not accept the claim that the mean scores after a student takes the remedial class to be greater than 85.