Question

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 8 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. Process Process Difference Worker 1 2 (Process 1 - Process 2) 1 36 26 10 74 66 8 3 36 18 18 4 63 33 30 5 43 33 10 6 37 14 23 7 85 40 45 8 47 25 22 Table 1 Based on these data, can the company conclude, at the 0.10 level of significance, that the mean assembly times for the two processes differ? Answer this question by performing a hypothesis test regarding Hd (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 fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. Hd a p The null hypothesis: H : 0 x s The alternative hypothesis: H:0 OSO ロロ| The type of test statistic: (Choose one) V D<D D> X $ ? The value of the test statistic: (Round to at least 0 three decimal places.) The two critical values at the 0.10 level of significance:and] (Round to at least three decimal places.) At the 0.10 level, can the company conclude that the mean assembly times for the two processes differ? O Yes O No

Answer 1

Amy- Ho: Mono Hoi Mazo Type of test - statistics !- Two tailed students, t test pared test -stanstics - t = 20.75 = 4:721705 Xorno Salsa 12:4298/58 14.722 The two critical celves at the 0.10 = -1.895 +1.895 assembly times for СС) Yes, the company conclude that the mean the two processes differ, CS Scanned with CamScanner