6) Consider the following situation. An experimenter wants to determine which of four seat-belt designs would provide the best protection is the event of a head-on collision at speeds of 35 mph or less. Simulated accidents are performed and the following measurements collected. Each observation is a composite index of passenger injury. Design 1 40. 45. 48. 52. 53. 48. 53. 55 Design 2 46. 33. 40. 39. 45. 41. 42. 45 Design 3 33, 34. 40. 38. 43. 36. 40. 42 Design 4 39, 46. 38. 40. 36. 39. 36. 41 a) Compute the ANOVA table and test for a signicant difference in design. Assume 0t = 0.05 b} How many planned comparisons are possible with this analysis? 6) Would it be possible to compare Design 1 vs. Design 4 as well as Design 2 vs. Designs 3 and 4? d) Use the method of planned comparison to compare Design 2 and Design 3. According to the Tukey test. what groups are signicantly different at o. = 0.05? Do the results of the two approaches agree