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In a Bumper Test, Three Types of Sub-Compact Cars

question 12

Multiple Choice

In a bumper test, three types of sub-compact cars
were deliberately crashed into a barrier at 5 mph with the resulting damage (in dollars) recorded.
Eight test cars of each type were crashed. Test results indicated that post-hoc procedures were
warranted. The TUKEY HSD approach was used with the following results:

Using an overall significance level of 5%, is there evidence that one type of car had less bumper
damage than the others? Which car appears to have the least bumper damage?

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Definitions:

Coefficient Of Determination

A statistic that quantifies the proportion of the variance in the dependent variable that is predictable from the independent variable(s), often symbolized as R^2.

Test Statistic

A statistic derived from the data of a sample during a hypothesis test that determines if the null hypothesis should be discarded.

Value Of F

In the context of statistical testing, it refers to the calculated statistic used in the F-test to determine whether two population variances are equal.

Regression Equation

A mathematical formula that describes the relationship between a dependent variable and one or more independent variables.