As a step in establishing its rates,an automobile insurance company is interested in determining whether there is a difference in the mean highway speeds that drivers of different age groups drive.To help answer this question,it has selected a random sample of drivers in three age categories: under 21,21-50,and over 50.The engineers then recorded the drivers' speeds at a designated point on a highway in the state.The subjects were unaware that their speed was being recorded.The following one-way ANOVA output was generated from the sample data.Based upon this output,if the significance level is 0.05,the engineers should conclude that the mean speeds may all be equal since the p-value is less than alpha.
Anova: Single Factor
SUMMARY ANOVA

Question

As a step in establishing its rates,an automobile insurance company is interested in determining whether there is a difference in the mean highway speeds that drivers of different age groups drive.To help answer this question,it has selected a random sample of drivers in three age categories: under 21,21-50,and over 50.The engineers then recorded the drivers' speeds at a designated point on a highway in the state.The subjects were unaware that their speed was being recorded.The following one-way ANOVA output was generated from the sample data.Based upon this output,if the significance level is 0.05,the engineers should conclude that the mean speeds may all be equal since the p-value is less than alpha.
Anova: Single Factor
SUMMARY  ANOVA

Quizplus · Accepted Answer

The question incorrectly states that the p-value is less than alpha, but in fact it is greater than alpha (0.231 > 0.05). Therefore, the engineers cannot conclude that the mean speeds may all be equal, and there may be a significant difference in mean speeds across the different age groups.

As a Step in Establishing Its Rates,an Automobile Insurance Company