You are interested in whether the average lifetime of Duracell AAA batteries is different from the average lifetime of Energizer AAA batteries. You lay out your hypotheses as follows: Null Hypothesis: ?1 = ?2, Alternative Hypothesis: ?1 ? ?2 (Duracell = Group 1, Energizer = Group 2). You perform an experiment on 21 randomly selected Duracell AAA batteries and 46 randomly selected Energizer AAA batteries and test them using a battery drainer. The Duracells had an average lifetime of 22.58 hours (SD = 2.067 hours) while the Energizer batteries had an average lifetime of 21.72 hours (SD = 2.395 hours). Assuming the population standard deviations to be equal, what is the test statistic and p-value of this test?
Question 3 options:
1)
Test Statistic: 1.42, P-Value: 0.0802
2)
Test Statistic: -1.42, P-Value: 0.1604
3)
Test Statistic: 1.42, P-Value: 1.9198
4)
Test Statistic: 1.42, P-Value: 0.9198
5)
Test Statistic: 1.42, P-Value: 0.1604





