A consumer agency claims that the average fuel mileage of SedanA exceeds that of Sedan B. To test this claim, a random sample of17 Sedan A vehicles were tested and the sample mean fuel mileagewas found to be 28.25 miles per gallon with a known populationstandard deviation of 1.30 miles per gallon. A random sample of 14Sedan B vehicles also were tested and the sample mean fuel mileagewas found to be 27.25 miles per gallon with a known populationstandard deviation of 1.35 miles per gallon. Use a 1% significancelevel and assume the fuel mileage values for each of the twopopulations of sedans are normally distributed.
a. Select the correct symbol to replace\"?\" in the null hypothesis H0:μA − μB?0
b. Select the correct symbol to replace\"?\" in the alternative hypothesisHa: μA −μB? 0
c. Compute the value of the test statistic usedto test the agency's claim.
Do not round any intermediate calculations. Round youranswer to two decimal places. Enter a \"−\" sign directly before anegative answer.
Test statistic =
d. Determine the critical value used to testthe agency's claim.
Enter your critical value to three decimal places. Entera \"−\" sign directly before a negative answer.
Critical value =
e.  Compute the p-value forthis hypothesis test.
Use your rounded test statistic from Part c. Donot round any other intermediate calculations. Round your finalanswer to four decimal places.
p-value =
f. Based on the above results, choose theappropriate initial conclusion.
| Reject the null hypothesis. |
| Do not reject the null hypothesis. |
g. Based on the claim and your initialconclusion, choose the appropriate final conclusion.
| Do not support the consumer agency's claim. |
| Support the consumer agency's claim. |
