Suppose the Department of Transportation would like to test the hypothesis that the average gasoline consumption per car in the United States is 6 liters per day. (We’re going metric here.) The following data represent the number of liters used per day for 25 randomly selected cars. These data can also be found in the Excel file labeled liters.xlsx. 9.2 2.9 12.0 2.4 5.3 16.4 6.1 7.6 9.6 1.3 9.4 8.9 6.7 11.9 9.0 11.3 6.6 9.3 4.6 7.2 6.1 10.7 0.4 6.6 5.4 Using a = 0.02, answer the following:

a. State the null and alternative hypotheses.

b. What conclusions can be drawn based on this sample?

c. Estimate the p-value for this test using Table 5 in Appendix A.

d. Determine the precise p-value for this test using Excel.

e. Use PHStat to validate these results.

f. What assumptions need to be made to perform this analysis?

AppendixLO1