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 table. Brand Name of Battery Kept in Garage? A B C Yes 8, 7, 8 5, 5, 7 8, 10, 8 No 6, 5, 7 5, 5, 4 7, 6, 5 a-1. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round “SS”, “MS” to 4 decimal places and “F”, “p-value” to 3 decimal places.) ANOVA Source of Variation SS df MS F p-value Sample Columns Interaction Within Total a-2. At the 5% significance level, Is there interaction between the brand name and whether a car is garaged? Yes since the p-value for interaction is less than the significance level.Yes since the p-value for interaction is greater than the significance level.No since the p-value for interaction is greater than the significance level.No since the p-value for interaction is less than the significance level. b. At the 5% significance level, can you conclude that the average battery lives differ by brand name? No since the p-value for brand name is less than the significance level.Yes since the p-value for brand name is less than the significance level.No since the p-value for brand name is less than the significance level.No since the p-value for brand name is greater than the significance level. c. At the 5% significance level, can you conclude that the average battery lives differ depending on whether a car is garaged? Yes since the p-value for garage is greater than the significance level.Yes since the p-value for garage is less than the significance level.No since the p-value for garage is less than the significance level.No since the p-value for garage is less than the significance level.
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