6} Consider the following situation. An experimenter wants to determine which of four seatbelt designs would proyide the best protection in the event of a headon 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 4D, 45, 45, 52, 53,43, 53, 55 Design 3 4e, 33, 4D, 39, 45, 41, 42, 45 Design 3 33, 34, 4D, 33, 43, 3e, 4D, 43 Design 4 35, 4e, 33, 4o, 35, 3s, 3s, 41 a} Compute the ANDVA table and test for a signicant difference in design. Assume o = GLUE b} How many planned comparisons are possible with this analysis? c} 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 = [105? Do the results of the two approaches agree