Car Weight and Fuel Consumption Data Set 14 in Appendix B includes highway fuel consumption amounts for cars with 4 cylinders, 6 cylinders, and 8 cylinders. (The 5cylinder Volvo S60 is excluded from this exercise.) Analysis of variance is used with the highway fuel consumption amounts (mi/gal) categorized according to the number of cylinders (4, 6, 8); the results are shown in the following display. Identify the null hypothesis, test statistic, and P-value, and state the final conlusion in nontechnical terms.

MINITAB

Solution 1RE

It is seen that, value of test statistic is 10.1 .

In this case, one-way analysis of variance is one tailed test, so the P-value corresponding to the F statistic is 0.001 .

In this case, one-way analysis of variance is one tailed test, so the P-value corresponding to the F statistic is 0.001 . Comparing the P-value with the significance level 0.05 , it is seen that the P-value is less than the significance level 0.05 . So, the null hypothesis is rejected.