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: ₁ 2 μ2, Alternative Hypothesis: H₁ H₂ (Duracell = Group 1, Energizer Group 2). You perform an experiment on 23 randomly selected Duracell AAA batteries and 33 randomly selected Energizer AAA batteries and test them using a battery drainer. The Duracells had an average lifetime of 28.88 hours (SD = 2.519 hours) while the Energizer batteries had an average lifetime of 28.55 hours (SD = 2.712 hours). Assuming the population standard deviations to be equal, what is the test statistic and p-value of this test? 1) Test Statistic: 0.461, P-Value: 0.3233 2) Test Statistic: 0.461, P-Value: 0.6767 3) Test Statistic: 0.461, P-Value: 1.3534 = 4) Test Statistic: -0.461, P-Value: 0.3233 5) Test Statistic: -0.461, P-Value: 0.6767

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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: ₁ 2 μ2, Alternative Hypothesis: H₁ H₂ (Duracell = Group
1, Energizer = Group 2). You perform an experiment on 23 randomly selected
Duracell AAA batteries and 33 randomly selected Energizer AAA batteries and test
them using a battery drainer. The Duracells had an average lifetime of 28.88 hours
(SD = 2.519 hours) while the Energizer batteries had an average lifetime of 28.55
hours (SD = 2.712 hours). Assuming the population standard deviations to be equal,
what is the test statistic and p-value of this test?
1) Test Statistic: 0.461, P-Value: 0.3233
2) Test Statistic: 0.461, P-Value: 0.6767
3) Test Statistic: 0.461, P-Value: 1.3534
4) Test Statistic: -0.461, P-Value: 0.3233
5) Test Statistic: -0.461, P-Value: 0.6767
Transcribed Image Text:< 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: ₁ 2 μ2, Alternative Hypothesis: H₁ H₂ (Duracell = Group 1, Energizer = Group 2). You perform an experiment on 23 randomly selected Duracell AAA batteries and 33 randomly selected Energizer AAA batteries and test them using a battery drainer. The Duracells had an average lifetime of 28.88 hours (SD = 2.519 hours) while the Energizer batteries had an average lifetime of 28.55 hours (SD = 2.712 hours). Assuming the population standard deviations to be equal, what is the test statistic and p-value of this test? 1) Test Statistic: 0.461, P-Value: 0.3233 2) Test Statistic: 0.461, P-Value: 0.6767 3) Test Statistic: 0.461, P-Value: 1.3534 4) Test Statistic: -0.461, P-Value: 0.3233 5) Test Statistic: -0.461, P-Value: 0.6767
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