Question: 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 0.05
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 0.05
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 aresafer?
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 berejected?
A.
No
No, because theP-value is greater than
greaterthan the significance level.
B.
Yes
Yes, because theP-value is greater than
greaterthan the significance level.
C.
No
No, because theP-value is less than
lessthan the significance level.
D.
Yes
Yes, because theP-value is less than
lessthan the significance level.
Do the data suggest that larger cars aresafer?
A.
No. The null hypothesis isrejected, but the data suggest that the mean deceleration for larger cars islarger, not smaller.
B.
No
No, because the null hypothesis is not
isnot rejected. There is not sufficient evidence to
Thereisnotsufficientevidenceto state that
statethat any of the
anyofthe means are
meansare different
different from the
fromthe rest.
rest.
C.
Yes
Yes, because the null hypothesis is
is rejected. The data suggest that the mean
Thedatasuggestthatthemean deceleration
deceleration for larger
forlarger cars is
carsis smaller.
smaller. nothing
nothing
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