Refer to Example 8 concerning the yield of green gasoline. Conduct a test of hypothesis which is intended to show that the mean product volume is greater than 2.75 liters.
(a) Formulate the null and alternative hypotheses.
(b) Determine the test statistic.
(c) Give the form of the rejection region.
(d) What is the conclusion to your test? Take α = .05.
(e) What error could you have made in light of your decision in part (d)?
(f) What can you say about the P-value?