15/ The US Environmental Protection Agency regularly releases fuel information f
ID: 3321352 • Letter: 1
Question
15/ The US Environmental Protection Agency regularly releases fuel information for popular car models. The following figure shows the distribution of the fuel consumption for different car types. We want to test whether car type has an influence on fuel consumption. Which of the following statements is correct?
An ANOVA test can only be applied to three groups.
The variances in each group are not equal, so the assumptions for ANOVA are not met.
An ANOVA can only be applied to proportions, not to continuous data.
The observations are independent, so a t-test cannot be applied.
An ANOVA test can only be applied to three groups.
The variances in each group are not equal, so the assumptions for ANOVA are not met.
An ANOVA can only be applied to proportions, not to continuous data.
The observations are independent, so a t-test cannot be applied.
35 30 2 25 S 20 15 10 SUV pickup subcompact midsize minivan 2seater compact Car TypeExplanation / Answer
By looking at the box plot we can see that variance of all each group is not same.
ANOVA can be applied to more than two groups only if all groups have same variance.
Hence answer is option 2. The variance in each group are not equal, so assumption for ANOVA are not met.
option 1 is not valid because ANOVA can be applied to more than two groups
option 3 is not valid because ANOVA can be applied to continuous data.
option 4 is not valid because we have more than 2 groups.
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