Automotive engineers compared three types of A-pillars in automobiles to determine which provided the greatest protection to occupants of automobiles during a collision. Following is a one-way ANOVA table. The response variable is the head injury criterion (HIC), which is a number that measures the amount of impact energy absorbed by the pillar.

a. What are the values of SSTr and SSE?

b. What are the values of MSTr and MSE?

c. What is the value of the test statistic?

d. Can you conclude that the mean energy absorbed varies with the type of pillar? Use the ???? = 0.01 level of significance.

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One-way ANOVA: Pillar Source DF SS MS F Pillar 2 50946.6 25473.3 5.071 Error 24 120550.9 5023.0 Total 26 17 1497.4 P 0.015