Battery lifetimes, in hours, were measured for two types of batteries commonly used in laptop computers. Twelve batteries of one type and 13 of another type were tested.

The results are shown below. Can you conclude that the lifetimes differ between the two types of batteries? Use the α = 0.01 level of significance.

a. State the null and alternate hypotheses.

b. Compute the value of the test statistic.

c. Compute the P-value.

d. State a conclusion.

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4.1 6.8 5.8 5.2 3.2 2.5 6.7 4.1 5.6 7.0 3.1 2.3 4.6 Type B 3.9 2.1 4.9 5.2 2.1 4.0 3.8 4.4 4.9 7.1 4.7 4.0