You are interested in whether the average lifetime of Duracell AAA batteries is

Question

You are interested in whether the average lifetime of Duracell AAA batteries is greater than the average lifetime of Energizer AAA batteries. You lay out your hypotheses as follows: Null Hypothesis: 1 2, Alternative Hypothesis: 1 > 2. After running a two independent samples t-test, you see a p-value of 0.0322. What is the appropriate conclusion?

Question 20 options:

1) The average lifetime of Duracell AAA batteries is significantly different from the average lifetime of Energizer AAA batteries. 2) The average lifetime of Duracell AAA batteries is significantly greater than the average lifetime of Energizer AAA batteries. 3) We did not find enough evidence to say the average lifetime of Duracell AAA batteries is greater than the average lifetime of Energizer AAA batteries. 4) The average lifetime of Duracell AAA batteries is significantly less than the average lifetime of Energizer AAA batteries. 5) The average lifetime of Duracell AAA batteries is less than or equal to the average lifetime of Energizer AAA batteries.

Explanation / Answer

As the p-value of our two sample test for difference of means is 0.0322 < 0.05 which is generally taken to be the level of significance for the test. Therefore we can reject the null hypothesis here at 5% level of significance.

Therefore The average lifetime of Duracell AAA batteries is significantly greater than the average lifetime of Energizer AAA batteries. ( which is the alternate hypothesis in this case as we have rejected the null hypothesis )

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