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Page 448 13. FILE Buggies. Wenton Powersports produces dune buggies. They have three assembly lines, “Razor,” “Blazer," and “Tracer," named after the particular dune buggy models produced on those lines. Each assembly line was originally designed using the same target production rate. However, over the years, various changes have been made to the lines. Accordingly, management wishes to determine whether the assembly lines are still operating at the same average hourly production rate. The accompanying table shows a portion of the production data (in dune buggies/hour) for the last eight hours. Razor Blazer Tracer 11 10 9 10 8 9 : : 11 8 9 a. Specify the competing hypotheses to test whether there are some differences in the mean production rates across the three assembly lines. b. At the 5% significance level, what is the conclusion to the test? What about the 10% significance level? Assume production rates are normally distributed.

49. FILE Brand_Garage. A consumer advocate examines whether the longevity of car batteries (measured in years) is affected by the brand name (factor A) and whether or not the car is kept in a garage (factor B). Interaction is suspected. The results are shown in the accompanying data file. Assume longevity is normally distributed. a. At the 5% significance level, is there interaction between the brand name and whether a car is garaged? b. At the 5% significance level, can you conclude that the average battery lives differ by brand name? c. At the 5% significance level, can you conclude that the average battery lives differ depending on whether a car is garaged?