An underwater basket weaving class is taught in threemodalities: face-to-face (1), hybrid (2) and online (3). Thefollowing data represents the student’s final grade in theclass. Assume student grades follow a normaldistribution.

Face-to-face (1): 93, 87, 92, 84, 89, 92, 91, 89, 88, 86

Hybrid (2): 88, 88, 89, 87, 90. 90, 90, 89

Online (3): 86, 90, 91, 91, 92, 90, 85, 83, 92, 90, 87

a) Using ? = 0.05, what are your conclusions in thecontext of the problem for the following hypothesis. Supportyour conclusions with the test statistic, critical value andp-value.

H₀: µ₁ = µ₂ = µ₃

H_a: at least one of the means is different

b) If in part a you found sufficient evidence to supportthat at least one of the means is different, conduct a BonferroniPost Hoc test and state which pairs are means are different (at ? =0.05). Support your conclusions with the p-value andconfidence interval. If in part a you did not find sufficientevidence to conclude that at least one of the means is different,state NA for this question.