DSCI 346-01 W19: Chapter 11 On-Paper Assignment (35 points)

Begin the problem by re-writing the problem. Minitab is required; attach or include your output. Your assignment must be typed (Use Word); you may handwrite equations. You may want to refer to the Minitab handouts for Chapter 11 (on Canvas under Modules, Chapter 11 Handouts).

1. In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Nine test vehicles of each type were crashed, with the results shown in the table below. Research question: Are the mean crash damages the same for these three vehicle types?

Crash Damage at 5 mph in Dollars ($)
Goliath	Varmint	Weasel
700	1700	2280
1400	1650	1670
850	1630	1740
1430	1850	2000
1740	1700	1510
1240	1650	2480
700	860	1650
1250	1550	1650
970	1250	1240

1. At the 0.05 level of significance, determine if there is a difference in the average crash damages by vehicle type. State your hypotheses and show all 7 steps clearly. (8 points)
2. Give and interpret the p-value. (3 points)
3. Should Tukey pairwise comparisons be conducted? Why or why not? (3 points)
4. If appropriate, use Minitab to produce Tukey pairwise comparison. Write a few sentences with your conclusions from those comparisons. (4 points)
5. Use Levenes test to determine if the assumption of homogeneity of variances is valid. Give the hypotheses, test statistic, p-value, decision and conclusion. Use the 0.05 level of significance. (8 points)
6. Verify with Minitab by attaching or including relevant output (see parts a, d, and e). (6 points)