A phone manufacturer wants to compete in the touch screen phonemarket. Management understands that the leading product has a lessthan desirable battery life. They aim to compete with a new touchphone that is guaranteed to have a battery life more than two hourslonger than the leading product. A recent sample of 65 units of theleading product provides a mean battery life of 5 hours and 39minutes with a standard deviation of 92 minutes. A similar analysisof 51 units of the new product results in a mean battery life of 7hours and 53 minutes and a standard deviation of 83 minutes. It isnot reasonable to assume that the population variances of the twoproducts are equal. Use Table 2. Sample 1 is from the population ofnew phones and Sample 2 is from the population of old phones. Alltimes are converted into minutes. Let new products and leadingproducts represent population 1 and population 2, respectively. a.Set up the hypotheses to test if the new product has a battery lifemore than two hours longer than the leading product. H0: ?1 ? ?2 =120; HA: ?1 ? ?2 ? 120 H0: ?1 ? ?2 ? 120; HA: ?1 ? ?2 < 120 H0:?1 ? ?2 ? 120; HA: ?1 ? ?2 > 120 b-1. Calculate the value of thetest statistic. (Round all intermediate calculations to at least 4decimal places and final answer to 2 decimal places.) Teststatistic b-2. Implement the test at the 5% significance levelusing the critical value approach. Do not reject H0; there is noevidence that the battery life of the new product is more than twohours longer than the leading product. Reject H0; there is noevidence that the battery life of the new product is more than twohours longer than the leading product. Do not reject H0; there isevidence that the battery life of the new product is more than twohours longer than the leading product. Reject H0; there is evidencethat the battery life of the new product is more than two hourslonger than the leading product.
