A promising start-up wants to compete in the cell phone market. The start-up believes that the battery life of its cell phone is 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 48 minutes with a standard deviation of 75 minutes. A similar analysis of 63 units of the start-up's product results in a mean battery life of 8 hours and a standard deviation of 79 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 ttable) a. Set up the hypotheses to test if the new product has a battery life more than two hours longer than the leading product. O Ho: H1-H2=120; HA: H1 - P2 #120 O Ho: H1-H2120; HA: M-H2 <120 Ho: H1-H2120; HAM-H2> 120 b-1. Calculate the value of the test statistic. (Round final answer to 3 decimal places.) Test statistic