Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a P-value. (Use α=0.05.) State the relevant hypotheses. (Use μ
1
for the strawberry drink and μ
2
for the cola.)
H
0
:μ
1
−μ
2
=0
H
a
:μ
1
−μ
2
<0
H
0
:μ
1
−μ
2
=0
H
s
:μ
1
−μ
2
≥0
H
0
:μ
1
−μ
2
=0
H
s
:μ
1
−μ
2
>0
H
0
:μ
1
−μ
2
=0
H
s
:μ
1
−μ
2
=0
Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t= P-value = State the conclusion in the problem context. Reject H
0
. The data suggests that cola has a higher average compression strength than the strawberry drink. Reject H
0
. The data does not suggest that cola has a higher average compression strength than the stravberry drink. Fail to reject H
0
. The data suggests that cola has a higher average compression strength than the strawberry drink. Fail to reject H
0
. The data does not suggest that cola has a higher average compression strength than the strawberry drink. What assumptions are necessary for your analysis? The distributions of compression strengths have equal variances. The distributions of compression strengths are approximately normal. The distributions of compression strengths are the same. The distributions of compression strengths have equal means.