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 147 units of the leading product provides a mean battery life of 5 hours and 52 minutes with a standard deviation of 38 minutes. A similar analysis of 94 units of the new product results in a mean battery life of 8 hours and 14 minutes and a standard deviation of 19 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. (You may find it useful to reference the appropriate table: z table or t table)

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

calculating the test statistic of a right tailed distribution where the underlying distribution is normal distribution
Poolad H6X 3893 192 147+94-2 318 82 3: 3813 [244.327- 2.3° 2ろう 1022 58 so The test statistic is (tunden o) 4の4-352-l20 ニ22 = 06879 31977 8 31.9718 the test sinthstic is