You may need to use the appropriate appendix table or technology to answer this question. A consumer research group is interested in testing an automobile manufacturer's claim that a new economy model will travel at least 26 miles per gallon of gasoline (Hu: [,1 2 26). (a) With a 0.02 level of signicance and a sample of 30 cars, what is the rejection rule based on the value onfor the test to determine whether the manufacturer's claim should be rejected? Assume that 0' is 5 miles per gallon. State the critical values for the rejection rule. (Round your answer to four decimal places. If the test is oneetailed, enter NONE for the unused tail.) 5: 2: (b) What is the probability of committing a type 11 error if the actual mileage is 24 miles per gallon? (Round your answer to four decimal places. If it is not possible to commit a type II error enter NOT POSSIBLE.) S (c) What is the probability of committing a type 11 error if the actual mileage is 25 miles per gallon? (Round your answer to four decimal places. If it is not possible to commit a type II error enter NOT POSSIBLE.) S (d) What is the probability of committing a type 11 error if the actual mileage is 26.5 miles per gallon? (Round your answer to four decimal places. If it is not possible to commit a type 11 error enter NOT POSSIBLE.) E >