Problem 3. (20 points, .5 pants) Erin and Taabish are operations engineers for iStow Co., a warehousing solutions company. iStow uses Kiva Robots to bring shelves to associates who then stow items in the shelves, before the robots whisk them away. Erin and Taabish have designed a new process ow that they hope improves upon the old system. They have run a pilot study in order to, hopefully, demonstrate that their new process is better. Specically, they hope that the average number of items stowed per shift increases. The le \"iStow_3.xls:-:\" contains the results of the pilot study. For the pilot, 3U associates were chosen. The same associates were used to test both the Old {'1'} and the New ('2') processes. The numbers given are, for each associate, the average number of items stowed per shift under the corresponding processes. In the analysis below, if a standard deviation estimate is required, assume that the population standard deviation is the same for both the Old and the New processes. Ia) Briey, explain why Erin and Taabish would have wanted to use the same associates to [pilot both the Old and the New processes. 5) Clearly state. both the null and alternative hypotheses. To your answer, please label the Old process as process '1' and the New process as process '2'. c) Calculate the test statistic. d) Calculate the p-value. e) At a 5% level of signicance, is there enough evidence to conclude that the New process is better, on average?