You are interested in whether the average lifetime of

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12. You are interested in whether the average lifetime of Duracell AAA batteries is less than the average lifetime of Energizer AAA batteries. You lay out your hypotheses as follows: Null Hypothesis: μ 1 μ 2 , Alternative Hypothesis: μ 1 < μ 2 (Duracell = Group 1, Energizer = Group 2). You perform an experiment on 29 randomly selected Duracell AAA batteries and 20 randomly selected Energizer AAA batteries and test them using a battery drainer. The Duracells had an average lifetime of 16.36 hours (SD = 1.537 hours) while the Energizer batteries had an average lifetime of 15.03 hours (SD = 1.771 hours). Assuming the population standard deviations to be equal, what is the test statistic and p-value of this test? Page 6 of 18
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