Question

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 26 randomly selected Duracell AAA batteries and 38 randomly selected Energizer AAA batteries and test them using a battery drainer. The Duracells had an average lifetime of 26.36 hours (SD = 2.299 hours) while the Energizer batteries had an average lifetime of 25.24 hours (SD = 2.97 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: 1.618, P-Value: 1.9446 2) Test Statistic: 1.618, P-Value: 0.9446 3) Test Statistic: -1.618, P-Value: 0.1107 4) Test Statistic: 1.618, P-Value: 0.0554 5) Test Statistic: 1.618, P-Value: 0.1107

Answer 1

by using independent t test we have get above results.

Where t=1.6182 and p value=0.1107

Therefore answer is5) t statistic=1.618 and. P value=0.1107