A B C Associate Old (1) New (2) 2 1 314.8544883 321.8578316 2 346.4859503 343.8652652 4 348.6878278 323.4190564 4 340.3448579 335.6992821 6 5 343.5692841 345.6923889 6 332.9455144 316.8387818 8 7 370.4676293 280.5901466 LO 8 255.6525934 325.169287 10 9 298.3046918 307.2147736 11 10 240.7032804 276.4696721 12 11 273.4302205 245.3220527 13 12 317.8974763 307.7968874 14 13 275.5458667 250.8075194 15 14 346.6308544 244.4824884 16 15 267.4898936 301.5840645 17 16 309.8819027 345.0080376 18 17 313.5648017 326.754155 19 18 310.0474606 317.8423994 20 19 283.2428033 330.2645652 21 20 311.5375143 333.9874573 22 21 283.2069626 370.7908286 23 22 317.1855534 318.9113257 24 23 294.6192409 325.9573003 25 24 303.7455767 320.967084 26 25 290.891544 358.6006357 27 26 245.2042188 305.5748414 28 27 286.0369371 271.7150104 29 28 272.6100838 328.476096 30 29 324.0538706 335.1825812 31 30 259.8577521 316.0743335Problem 3. (28 points, 5 parts) 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.xlsx\" contains the results of the pilot study. For the pilot, 30 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. :1) Briey, explain why Erin and Taabish would have wanted to use the same associates to pilot both the Old and the New processes. 3}) Clearly state both the null and alternative hypotheses. In 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 pvalue. (3) At a 5% level of signicance, is there enough evidence to conclude that the New process is better, on average