A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. Assembly times ca

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A Computer Manufacturer Is Interested In Comparing Assembly Times For Two Keyboard Assembly Processes Assembly Times Ca 1 (46.13 KiB) Viewed 24 times

A 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 12 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 1 2 3 4 4 5 6 7 8 8 9 10 11 12 Worker Process 1 39 69 62 47 42 52 39 43 79 68 32 73 SO 69 41 38 49 50 IS 34 82 Process 2 68 21 58 -11 0 0 21 9 9 -7 2 24 9 -3 0 11 15 Difference (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 (which is 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 consulta list of formulas.) (a) state the null hypothesis and the alternative hypothesis ; 11 0 P x w 1,0 8 ODOS 20 O X 2 (1) Determine the type of test statistic to use. Type of best statistic (Choose one) (cFind the value of the test statistic, (Round to three or more decimal places.) D () Find the two critical values at the 0.05 level of significance (Round to three or more decimal places) and I (c) At the 0.05 level can the company condude that the mean assembly times for the two processes differ Yes No