On eight Friday quizzes, Bob received scores of 80, 85, 95, 92, 89, 84, 90, 92. He tells Prof.Hardtack that he is really a 90+ performer but this sample just happened to fall below his trueperformance level. (a) State an appropriate pair of hypotheses. (b) State the formula for the teststatistic and show your decision rule using the 1 percent level of significance. (c) Carry out thetest. Show your work. (d) What assumptions are required?