You are interested in whether the average lifetime of Duracell AAA batteries is different from the average lifetime of Energizer AAA batteries. You...

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: μ1 = μ2, Alternative Hypothesis: μ1 ≠ μ2 (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