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A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. To do this, the company selects 11 workers at
A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. To do this, the company selects 11 workers at random and asks each of them to use both assembly processes. The assembly time (in minutes) for Process 1 is recorded for each of these workers. Then, the assembly time for Process 2 is recorded for each of the same workers. The data and the differences (Process 1 minus Process 2) are shown in the table below. Worker Process 1 Process 2 Difference 1 2 3 4 5 6 7 98 86 84 8 9 10 11 65 65 35 55 39 41 71 00 60 31 29 45 76 76 71 79 36 10 (Process 1 Process 2) Send data to calculator 13 13 43 43 55 67 80 46 47 83 -14 -1 -4 -14 4 -20 -15 -18 -38 Assume that the population of these differences in assembly times (Process 1 minus Process 2) is approximately normally distributed. Construct a 90% confidence interval for d, the population mean difference in assembly times for the two processes. Then find the lower and upper limits of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit:
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