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A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Process 1 is the standard process used for several
A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Process 1 is the standard process used for several years, and Process 2 is an updated process hoped to bring a decrease in assembly time. Assembly times can vary considerably from worker to worker, and the company decides to eliminate this effect by selecting a random sample of 10 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 Table 1. Difference Worker Process 1 Process 2 (Process 1 - Process 2) 47 52 -5 48 29 19 3 55 57 -2 4. 51 34 17 86 72 14 31 42 -11 85 61 24 82 78 4 79 62 17 10 32 15 17 Table 1 Based on these data, can the company conclude, at the 0.10 level of sianificance, that the mean assembly time for Process 1 exceeds that of Process 2? Answer this question by performing a hypothesis test regarding u (which is u with a letter "d" substipt), the population mean difference in assembly times for the two processes. Assume that this population of differences (Proces 1 minus Process 2) is notmally distributed. Perform a one-taled test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hvoothesis: Emmanuel Esapa - Learn X Rh Blackboard Learn www-awn.aleks.com/alekscgi/x/Isl.exe/1o_u-lgNslkr7j8P3jH-IBGBH_OB3uhhqwxlXoS5SIQhuX6YjFjUgDFs-2HRJMXYd4e1t9fzRdmMpbMLI9ROf2fJu6vgXFwWEMdYPPp6Cz9-QdKypSo?1oBw7QYjlbavbSPXtx-YCjsh_7m O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for the difference of population means: Paired... Emmanuel V Based on these data, can the company conclude, at the 0.10 level of significance, that the mean assembly time for Process 1 exceeds that of Process 2? Answer this question by performing a hypothesis test regarding (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 one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) An The null hypothesis: H, :0 The alternative hypothesis: H, :0 Ca = The type of test statistic: Choose one) R O
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