Problem 5. A research firm wanted to compare the miles per gallon (mpg) of unleaded regular, mid-grade, and premium gasoline. Due to differences in fuel efficiency across manufacturers, five different vehicles (makes) were selected. The results are shown in the following table (in mpg). Vehicle Regular Mid-grade Premium A 21 23 26 B 23 22 25 24 25 27 24 24 26 E 26 26 30 a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic without considering vehicle makes. c. Test the hypotheses at the 0.05 significance level using the test statistic in part c and state your conclusion. d. Construct the relevant test statistic with vehicles as the blocking variable. e. Test the hypotheses again at the 0.05 significance level using the test statistic in part d and state your conclusion. Please USE EXCEL