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 0.05significance​ 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?       sum of squares df Mean Square F    sig Between Groups 237217.926 2 118608.963 4.851   0.016 Within Groups 660161.205 27

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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 0.05significance​ 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?
 
 
  sum of squares df Mean Square   sig
Between Groups
237217.926
2
118608.963
4.851
 
0.016
Within Groups
660161.205
27
24450.415
 
 
 
Total
897379.131
29
 
 
 
 
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What are the hypotheses to​ test?
H0:
H1:
 
The test statistic is
​(Round to two decimal places as​ needed.)
 
Identify the​ P-value.
 
The​ P-value is
​(Round to three decimal places as​ needed.)
 
Fail to reject
Reject
H0.
Since the​ P-value is
 
less
greater
than the significance​ level, there
 
is not
is
sufficient evidence to refute the claim that the different size categories have the same mean head injury measurement. It
 
does not appear
appears
that the size of a car affects head injuries.
 
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