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The data was obtained from car crash experiments. The table values are the chest deceleration data(g) for the dummy in thedriver's seat. Use a 0.

The data was obtained from car crash experiments. The table values are the chest deceleration data​ (g) for the dummy in the​ driver's seat. Use a 0.05


0.05 significance level to test the null hypothesis that the different weight categories have the same mean. Do the data suggest that larger cars are​ safer?

​Subcompact:

55


55

51


51

53


53

56


56

57


57

 

​Compact:

54


54

51


51

45


45

55


55

50


50

​Midsize:

53


53

55


55

50


50

53


53

51


51

​Full-size:

49


49

40


40

42


42

41


41

43


43

Should the null hypothesis be​ rejected?

A.

No


No​, because the​ P-value is greater than


greater than the significance level.

B.

Yes


Yes​, because the​ P-value is greater than


greater than the significance level.

C.

No


No​, because the​ P-value is less than


less than the significance level.

D.

Yes


Yes​, because the​ P-value is less than


less than the significance level.

Do the data suggest that larger cars are​ safer?

A.

No. The null hypothesis is​ rejected, but the data suggest that the mean deceleration for larger cars is​ larger, not smaller.

B.

No


No​, because the null hypothesis is not


is not rejected. There is not sufficient evidence to


There is not sufficient evidence to state that


state that any of the


any of the means are


means are different


different from the


from the rest.


rest.

C.

Yes


Yes​, because the null hypothesis is


is rejected. The data suggest that the mean


The data suggest that the mean deceleration


deceleration for larger


for larger cars is


cars is smaller.


smaller. nothing


nothing

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