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
Dialog content starts

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.

Declan Cameron

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.

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