Champ hypothesized that MSU students would report enjoying the semester more if he gave them a fun MSU hat. To test this idea, Champ randomly sampled 36 MSU students and gave them a fun MSU hat. He then asked each participant in his sample to report on a 9-point scale how much they were enjoying the semester (1 = not at all to 9 = very much). Before collecting his data, Champ decided to set his α (significance level) = .01. He found that the average response for his sample was 8.56. For the MSU population, assume we know that µ = 7.74 and σ = 1.32. Answer the below questions about Champ’s experiment and engage in hypothesis testing given his hypothesis