An article includes the accompanying data on compressionstrength (lb) for a sample of 12-oz aluminum cans filled withstrawberry drink and another sample filled with cola.
| Beverage | Sample
Size | Sample
Mean | Sample
SD |
|---|
| StrawberryDrink | 15 | 532 | 21 |
| Cola | 15 | 554 | 16 |
Does the data suggest that the extra carbonation of cola resultsin a higher average compression strength? Base your answer on aP-value. (Use
? = 0.05.)
State the relevant hypotheses. (Use ?1 for thestrawberry drink and ?2 for the cola.)
H0: ?1 ??2 = 0
Ha: ?1 ??2 > 0H0:?1 ? ?2 = 0
Ha: ?1 ??2 ?0 H0:?1 ? ?2 = 0
Ha: ?1 ??2 ? 0H0:?1 ? ?2 = 0
Ha: ?1 ??2 < 0
Calculate the test statistic and determine the P-value.(Round your test statistic to two decimal places and yourP-value to three decimal places.)
State the conclusion in the problem context.
Reject H0. The data suggests that cola has ahigher average compression strength than the strawberry drink.
Reject H0. The data does not suggest thatcola has a higher average compression strength than the strawberrydrink.
Fail to reject H0. The data suggests thatcola has a higher average compression strength than the strawberrydrink.
Fail to reject H0. The data does not suggestthat cola has a higher average compression strength than thestrawberry drink.
What assumptions are necessary for your analysis?
The distributions of compression strengths are the same.
The distributions of compression strengths have equalvariances.
The distributions of compression strengths are approximatelynormal.
The distributions of compression strengths have equal means.
