5) When fighting fires, there's no time for firefighters to worry about their equipment. A company produces thermoplastic and fiberglass helmets for firefighters. They run an experiment on their thermoplastic helmets to determine whether four temperatures of fire affect the "longevity" (i.e., a combination of time spent in fire, density of helmet and overall wear) of the helmets. The longevity score is out of 100 (0 is the worst; 100 is the best). The results were: Temperature (OF) 250 300 350 400 84 76 66 53 Longevity 72 72 70 10 81 85 78 16 87 19 71 40 a. Test whether the temperature affects the longevity of the helmets at the 5% significance level. b. Perform Duncan's multiple range test at the 5% significance level to make comparisons between pairs of means. c. Perform the Least Significant Difference (LSD) method at the 5% significance level to make comparisons between pairs of means. d. Do you find your results from parts (b) and (c) surprising? Why or why not? e. For this ANOVA model, is the assumption of normality satisfied? Explain your reasoning