A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting a random sample of $ workers and timing each worker on each assembly process. Half of the 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 minutes) is recorded, as shown in the table below. Worker 1 2 3 Process 1 78 46 77 57 80 Process 2 65 54 52 Difference 24 23 28 [Process 1 - Process 2) Send data to calculator 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 this question by performing a hypothesis test regarding u (which is u with a letter "d" subscript), the population mean difference in assembly times for the two 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 answers as specified. (If necessary, consult a list of formulas.) (=) State the null hypothesis Ho and the alternative hypothesis H1. LA H : LL = 0 S H :1 =0 (b) Determine the type of test statistic to use. 020 Type of test statistic: t Degrees of freedom: 4.535 (c) Find the value of the test statistic. (Round to three or more decimal places.) 17.500 X 5 ? (C) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) -2.365 and 2.365 (@) At the 0.05 level, can the company conclude that the mean assembly times for the two processes differ? Yes ONo