Test statisitic and p-value when standard deviation equal

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Reference no: EM1385777

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: μ1 ≥ μ2, Alternative Hypothesis: μ1 < μ2 (Duracell = Group 1, Energizer = Group 2). You perform an experiment on 23 randomly selected Duracell AAA batteries and 48 randomly selected Energizer AAA batteries and test them using a battery drainer. The Duracells had an average lifetime of 18.67 hours (SD = 1.176 hours) while the Energizer batteries had an average lifetime of 16.83 hours (SD = 2.878 hours). Assuming the population standard deviations to be equal, what is the test statisitic and p-value of this test?

1) Test Statistic: -2.942, P-Value: 0.9978

2) Test Statistic: 2.942, P-Value: 0.0022

3) Test Statistic: -2.942, P-Value: 0.0022

4) Test Statistic: 2.942, P-Value: 0.9978

5) Test Statistic: 2.942, P-Value: 1.9956

Reference no: EM1385777

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