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 7, 6, 8 7, 6, 6 B 2:32 7, 6, 7 Yes 10, 8, 8 No Click here for the Excel Data File a-1. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS', "MS" to 4 decimal places and "P', "p-value" to 3 decimal places.) ANOVA Source of Variation 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?

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b. At the 5% significance level, can you conclude that the average battery lives differ by brand name?
O No Picture since the p-value for brand name is less than the significance level.
O Yes Picture since the p-value for brand name is less than the significance level.
O No Picture since the p-value for brand name is less than the significance level.
O No Picture 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?
O YesPicture since the p-value for garage is greater than the significance level.
O Yes Picture since the p-value for garage is less than the significance level.
O No Picture since the p-value for garage is less than the significance level.
O NoPicturesince the p-value for garage is less than the significance level.
Transcribed Image Text:b. At the 5% significance level, can you conclude that the average battery lives differ by brand name? O No Picture since the p-value for brand name is less than the significance level. O Yes Picture since the p-value for brand name is less than the significance level. O No Picture since the p-value for brand name is less than the significance level. O No Picture 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? O YesPicture since the p-value for garage is greater than the significance level. O Yes Picture since the p-value for garage is less than the significance level. O No Picture since the p-value for garage is less than the significance level. O NoPicturesince the p-value for garage is less than the significance level.
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
В
7, 6, 8
7, 6, 6
7, 6
4, 5, 4
10, 8, 8
7, 6, 7
Yes
7
No
S Click here for the Excel Data File
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
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?
O Yes Picture since the p-value for interaction is less than the significance level.
O Yes Picture since the p-value for interaction is greater than the significance level.
O NoPicture since the p-value for interaction is greater than the significance level.
O NoPicture since the p-value for interaction is less than the significance level.
Transcribed Image Text: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 В 7, 6, 8 7, 6, 6 7, 6 4, 5, 4 10, 8, 8 7, 6, 7 Yes 7 No S Click here for the Excel Data File 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 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? O Yes Picture since the p-value for interaction is less than the significance level. O Yes Picture since the p-value for interaction is greater than the significance level. O NoPicture since the p-value for interaction is greater than the significance level. O NoPicture since the p-value for interaction is less than the significance level.
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