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The US Environmental Protection Agency regularly releases fuel information for p

ID: 3326700 • Letter: T

Question

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?

The variances in each group are not equal, so the assumptions for ANOVA are not met.

An ANOVA test can only be applied to three groups.

An ANOVA can only be applied to proportions, not to continuous data.

The observations are independent, so a t-test cannot be applied.

The variances in each group are not equal, so the assumptions for ANOVA are not met.

An ANOVA test can only be applied to three groups.

An ANOVA can only be applied to proportions, not to continuous data.

The observations are independent, so a t-test cannot be applied.

35 25 S 20 15 10 2seater compact midsize minivan Car Type pickup suv

Explanation / Answer

Solution:-

The variances in each group are not equal, so the assumptions for ANOVA are not met.

Since the largest variance seems to be more than the double of the smallest variance.

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