Lesnaoq73

2022-03-27

Data for head injury measurements (in HIC, which is a standard head injury criterion) from samples of small, midsize, and large cars involved in the standard crash test were used to produce the accompanying ANOVA table. Using a 0.05 significance level, test the claim that the different size categories have the same mean head injury measurement. Does the size of a car appear to affect head injuries?

ANOVA table

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$\begin{array}{|cccccc|}\hline & \text{Sum of Squares}& \text{df}& \text{Mean Square}& \text{F}& \text{Sig.}\\ \text{Between Groups}& 73630.272& 2& 36815.136& 1.606& 0.227\\ \text{Within Groups}& 435546.443& 19& 22923.497\\ \text{Total}& 509176.715& 21\\ \hline\end{array}$

What are the hypotheses to test?

$H}_{0$ :

$H}_{1$ :

The test statistic is

(Round to two decimal places as needed.)

The P-value is

(Round to three decimal places as needed.)

___________$H}_{0$ . Since the P-value is __________ than the significance level, there ___________ sufficient evidence to refute the claim that the different size categories have the same mean head injury measurement. It __________ that the size of a car affects head injuries.

ANOVA table

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What are the hypotheses to test?

The test statistic is

(Round to two decimal places as needed.)

The P-value is

(Round to three decimal places as needed.)

___________

Declan Cameron

Beginner2022-03-28Added 12 answers

We have to interpret the result of ANOVA.

We have to test that if the different size categories have the same mean head injury measurement.

That is

$H}_{0$ :different size categories have the same mean head injury measurement

$H}_{1$ :different size categories have at least on different mean head injury measurement

From the table

The test statistic is 1.61

The P-value is 0.227Fail to reject$H}_{0$ . Since the P-value is more than the significance level, there not sufficient evidence to refute the claim that the different size categories have the same mean head injury measurement. It dont suggest that the size of a car affects head injuries.

We have to test that if the different size categories have the same mean head injury measurement.

That is

From the table

The test statistic is 1.61

The P-value is 0.227Fail to reject

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