Question

A phone manufacturer wants to compete in the touch screen phone market. Management understands that the leading product has a less than desirable battery life. They aim to compete with a new touch screen phone that is guaranteed to have a battery life more than two hours longer than the leading product. A recent sample of 102 units of the leading product provides a mean battery life of 5 hours and 40 minutes with a standard deviation of 93 minutes. A similar analysis of 56 units of the new product results in a mean battery life of 8 hours and 53 minutes and a standard deviation of 84 minutes. It is not reasonable to assume that the population variances of the two products are equal.

All times are converted into minutes. Let new products and leading products represent population 1 and population 2, respectively.

b-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Answer 1