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.Before actually testing the central hypothesis involving the mean speeds,if a hypothesis test is conducted to determine whether the population variances are equal using a significance level equal to 0.05,the critical value is approximately F = 2.95.
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.Before actually testing the central hypothesis involving the mean speeds,if a hypothesis test is conducted to determine whether the population variances are equal using a significance level equal to 0.05,the critical value is approximately F = 2.95.
Anova: Single Factor
SUMMARY  ANOVA

Quizplus · Accepted Answer

The statement is true. The critical value for testing the equality of population variances using a significance level of 0.05 with 2 and n-3 degrees of freedom is approximately 2.95.

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