In Exercise? ?use analysis of variance for the indicated test. Highway Fuel Consumption? Data Set 14 in Appendix B lists highway fuel consumption amounts (mi/gal) for cars categorized by size (small, midsize, large). If we use those highway fuel consumption amounts arranged into the three separate size categories, we get the TI-83/84 Plus calculator results shown below. Using a 0.05 significance level, test the claim that the three size categories have the same mean highway fuel consumption. Does the size of a car appear to affect highway fuel consumption?
Solution 7BSC Step 1 The given problem explain about highway fuel consumption. We know that highway fuel consumption amounts (mi/gal) for cars categorized by size small, midsize and large.then if we use those highway fuel consumption amounts arranged into the three separate size categories. so,the three car categories of null hypothesis have same mean highway fuel consumption or 1 =2 . 3 Here, e know that the significance level of =0.05 Then we use T I-83/84 Plus calculator to find the P-value. The P-value = 0.000577 (From T I-83/84 Plus calculator. ) Now, We are comparing P-value and the significance level of . Hence the P-value < the significance level of =0.05 Therefore 0.000577 < 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. It means at least one of the mean is different from other means. Hence, we can say that size of the car affects the highway fuel consumption amount.
