A consumer advocate examines whether the longevity of car batteries (measured in

Question

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 and are also available on the text website, labeled Brand and Garage.

Use Excel to generate the appropriate ANOVA. (Round your answers except "df" to decimal 3 places.)

At the 5% significance level, is there interaction between brand name and whether a car is garaged?

At the 5% significance level, can you conclude that average battery lives differ by brand name?

At the 5% significance level, can you conclude that average battery lives differ depending on whether a car is garaged?

.

Use Excel to generate the appropriate ANOVA. (Round your answers except "df" to decimal 3 places.)

Brand Name of Battery Kept in Garage? Yes No 7,7,7 5,7,7 7, 5,6 5,5,4 10, 10, 10 6, 5, 6

Explanation / Answer

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
row factor 1 20.056 20.0556 40.11 0.000
column factor 2 18.778 9.3889 18.78 0.000
row factor*column factor 2 11.444 5.7222 11.44 0.002
Error 12 6.000 0.5000
Total 17 56.278

b) yes

c) yes

d) yes

Source DF Adj SS Adj MS F Value P Value row factor 1 20.056 20.0556 40.11 0.000 column factor 2 18.778 9.3889 18.78 0.000 row factor*column factor 2 11.444 5.7222 11.44 0.002 Error 12 6.000 0.5000 Total 17 56.278

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