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 true performance level.
(a) State an appropriate pair of hypotheses.
(b) State the formula for the test statistic and show your decision rule using the 1 percent level of significance.
(c) Carry out the test. Show your work.
(d) What assumptions are required?
(e) Use Excel to find the p-value and interpret it.