An article includes the accompanying data on compression strength (lb) for a sam

Question

An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola Sample Sample Sample Beverage Strawberry Drink Cola Size 10 10 Mean 532 554 SD 25 18 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 0.05.) State the relevant hypotheses. (Use 1 for the strawberry drink and 2 for the cola.) O H0: 1-2 = 0 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) P-value = State the conclusion in the problem context Reject H0. The data suggests that cola has a higher average compression strength than the strawberry drink. Reject H0. The data does not suggest that cola has a higher average compression strength than the strawberry drink. O Fail to reject Ho. The data suggests that cola has a higher average compression strength than the strawberry drink O Fail to reject Ho. The data does not suggest that cola has a higher average compression strength than the strawberry drink What assumptions are necessary for your analysis? O The distributions of compression strengths have equal variances. The distributions of compression strengths are approximately normal The distributions of compression strengths have equal means. O The distributions of compression strengths are the same

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 < 0
(without pooled variances)

Hypothesis test results:

Hence,

t = -2.26

P - value = 0.019

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -22 9.7416631 16.354707 -2.2583413 0.019

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