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A compu... .nanufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from recorded, as shown in the table below. to worker, and the company decides to eliminate this effect by selecting 12 workers at random and timing each worker on each assembly process. Hal 10 3/5 workers are chosen at random to use Process 1 first, and the rest use Process 2 first. For each worker and each process, the assembly time (in minute Worker 2 3 4 5 Process 1 61 10 72 1 1 66 12 54 48 33 83 Process 2 86 57 85 65 83 87 68 30 46 25 43 Difference 80 73 64 70 81 87 (Process 1 - Process 2) - 4 4 27 8 23 - 10 3 Send data to calculator 13 15 2 0 Based on these data, can the company conclude, at the 0.05 level of significance, that the mean assembly times for the two processes differ? Answer th question by performing a hypothesis test regarding My (which is u with a letter "d" subscript), the population mean difference in assembly times for the processes. Assume that this population of differences (Process 1 minus Process 2) is normally distributed. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answer specified. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H,. Ho : X H :0 (b) Determine the type of test statistic to use. 0=0 0s0 020 Type of test statistic: (Choose one) V 0+0 00 (c) Find the value of the test statistic. (Round to three or more decimal places.) X 15 2 (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) [ and ] (e) At the 0.05 level, can the company conclude that the mean assembly times for the two processes differ? Yes ONO