Head Injury in a Car Crash Listed below are head injury data from crash test dum

Question

Head Injury in a Car Crash Listed below are head injury data from crash test dummies used in the same cars from the Chapter Problem. These measurements are in hic, which denotes a standard head injury criterion. Use a 0.05 significance level to test the null hypothesis that the different car categories have the same mean. Do these data suggest that larger cars are safer?

Small Cars       290       406        371       544      374    501      376      499       479        475

Medium Cars    245      502     474     505       393     264    368      510      296      349

Large Cars      342      216      335      698     216       169    608      432      510     332

a. Significance Level: _____________________________
b. Critical Value: -_______________________________
c. Test Statistic: ________________________
d. P-value: .___________________________
e. We ____________________the null hypothesis.
f. Conclusion: ________________________________________

Explanation / Answer

applying one way ANOVA on above:

from aboveL

a) Significance Level: =0.05

b) critical value =3.3541

c) Test Statistic: =0.3974

d)p value =0.6759

e)we fail to reject the null hypothesis

f) conclusion : we do not have sufficient evidence to conclude that different car categories have the different mean

Groups Count Sum Average Variance Small cars 10 4315 431.5 6323.389 Medium Cars 10 3906 390.6 10570.27 Large Cars 10 3858 385.8 30717.96 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 12614.47 2 6307.233 0.397418 0.67592 3.354131 Within Groups 428504.5 27 15870.54 Total 441119 29

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