A lecturer in a university wants to investigate the differences in students marks with the different majors from School A, School B, School C and School D for MSG 162 subject. It was thought that students with four different majors might result in different grades for MSG 162. The lecturer examined exam scores for a sample of four students each from the school that participated in the MSG 162 class. The following are the MSG 162 exam results for the students: School A B ? D Marks 77 85 79 76 83 67 75 72 80 88 79 85 82 56 60 70 Assume that all assumptions to perform an ANOVA test are satisfied.

a) Test the hypothesis that there is no difference between exam scores of students from four schools at the significance level, a -0.05, Interpret the results of the hypothesis testing

b) Determine the level of significance (p-value) of the test results.

c) Determine a 95% interval estimate for the students marks from school B.