Q1 (based on ex. 11.36 pp. 494, 40pts): A study was conducted to compare automobile fuel efficiency for three brands of gasoline, A, B, and C. Four automobiles, all of the same make and model, were used in the experiment, and each gasoline brand was tested in each automobile. The data (in litres per 100 kilometers (L/100km)) are as follows:

Automobile

Gasoline brand 1 2 3 4

A 7 9 9 8

1. B91099
2. C 8 9 8 9
3. A,BuildtheANOVAtable.(10pts)
4. B, Do the data provide sufficient evidence to indicate a difference in mean fuel efficiency for the three brands of gasoline? Test using ???? = 0.05. (5pts)
5. C, Is there evidence of a difference in mean fuel efficiency for the four automobiles? (5pts)
6. D, Suppose that prior to looking at the data, you had decided to compare the mean fuel efficiency for gasoline brands A and B. Find a 90% confidence interval for this difference. (5pts)
7. E, Use an appropriate method to identify the pairwise differences, if any, in the average fuel efficiency for the three brands of gasoline. (5pts)
8. f, Build an approximate normal probability plot using the normal critical value table in the text book (Table 3, pp. 720). What can you conclude? Show all your work. (5pts)
9. G, Plot the residuals against the fitted values. What can you conclude? Show all your work.(5pts)