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

question 40

True/False

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,it is possible that a Type II statistical error has been committed if the null hypothesis is tested at the alpha equal 0.05 level.
Anova: Single Factor
SUMMARY ANOVA

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Definitions:

Level of Significance

A threshold used in hypothesis testing that determines the probability of wrongly rejecting a true null hypothesis.

T-test

A statistical method employed to ascertain whether there's a notable difference in the average values of two distinct groups.

Null Hypothesis

A statement positing that there is no significant difference or relationship between specified populations, any observed difference being due to sampling or experimental error.

Probability

A measure of the likelihood that an event will occur, quantified between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.