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A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Process 1 is the ...


A 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 8 workers at random 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 4 5 6 7 8 Process 1 40 77 45 73 89 41 69 57 Process 2 28 73 56 46 70 58 46 44 Difference 12 -11 27 19 -17 23 13 (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 time for Process 1 exceeds that of Process 2? Answer this question by performing a hypothesis test regarding uz (which is pu 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 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.)
Transcribed: A 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 8 workers at random 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 4 5 6 7 8 Process 1 40 77 45 73 89 41 69 57 Process 2 28 73 56 46 70 58 46 44 Difference 12 -11 27 19 -17 23 13 (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 time for Process 1 exceeds that of Process 2? Answer this question by performing a hypothesis test regarding uz (which is pu 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 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.)
Transcribed: (a) State the null hypothesis H, and the alternative hypothesis H1. Ho :0 H :0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O
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