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. 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 alpha = 0.05.) State the relevant hypotheses. (Use mu_1 for the strawberry drink and mu_2 for the cola.) H_0:mu_1 - mu_2 = 0 H_ a:mu_1 - mu_2 greaterthanorequalto 0 H_0:mu_1 - mu_2 = 0 H_ a:mu_1 - mu_2 notequalto 0 H_0:mu_1 - mu_2 = 0 H_ a:mu_1 - mu_2 > 0 H_0:mu_1 - mu_2 = 0 H_a:mu_1 - mu_2

Explanation / Answer

The statistical software output for this problem is:

Two sample T 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 = -2.10076

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -19 9.0443352 16.573324 -2.1007625 0.0256

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