# a consumer advocate examines whether the longevity of car

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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