In Exercise? ?use analysis of variance for the indicated test. City Fuel Consumption? Data Set 14 in Appendix B lists city fuel consumption amounts (mi/gal) for cars categorized by size (small, midsize, large). If we use those city fuel consumption amounts arranged into the three separate size categories, we get the STATDISK results shown here. Using a 0.05 significance level, test the claim that the three size categories have the same mean city fuel consumption. Does the size of a car appear to affect city fuel consumption?
Solution 8BSC Step 1 The given problem explain about city fuel consumption. From the given problem city fuel consumption amounts (mi/gal) for cars categorized by 3 size is small, midsize and large.Then we use those city fuel consumption amounts arranged into the three separate size categories. So,The three car categories of null hypothesis have same mean city fuel consumption or 1 =2 . 3 Here, e know that the significance level of =0.05 Then we have to calculate the P-value. The P-value = 0.000008 (From STATDISK table. ) Now, We are comparing P-value and the significance level of . Hence the P-value < the significance level of =0.05 Therefore 0.000008 < 0.05 So,we cannot accept the null hypothesis of = = . 1 2 3 Hence we can reject the null hypothesis of = 1 = 2 3 From the given information the claim that the three size categories have the same mean is rejected.This means at least one of the mean is different from other means. Hence, we can say that size of the car affects the city fuel consumption amount.