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Mathematics, 21.02.2020 03:54 wrivera32802
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 phone that is guaranteed to have a battery life more than two hours longer than the leading product. A recent sample of 120 units of the leading product provides a mean battery life of 5 hours and 40 minutes with a standard deviation of 30 minutes. A similar analysis of 100 units of the new product results in a mean battery life of 8 hours and 5 minutes and a standard deviation of 55 minutes. It is not reasonable to assume that the population variances of the two products are equal. Let new products and leading products represent population 1 and population 2, respectively.
Sample 1 is from the population of new phones and Sample 2 is from the population of old phones. All times are converted into minutes.
a. Set up the hypotheses to test if the new product has a battery life more than two hours longer than the leading product.
b-1. Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
b-2. Implement the test at the 5% significance level using the critical value approach.
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A phone manufacturer wants to compete in the touch screen phone market. Management understands that...
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