A computer manufacturer is interested in comparing assembly
Last updated: 1/5/2023
A computer manufacturer is interested in comparing assembly times for two keyboard assembly processes Process 1 is an updated process hoped to bring a decrease in assembly time while Process 2 is the standard process used for several years 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 Worker Process 1 Process 2 Difference Process 1 Process 2 Send data to calculator 1 49 43 6 2 3 65 33 74 37 4 47 42 5 58 74 9 4 5 16 6 75 63 12 7 54 47 8 39 66 9 10 68 60 61 75 a State the null hypothesis H and the alternative hypothesis H H 0 H 0 b Determine the type of test statistic to use Type of test statistic Choose one c Find the value of the test statistic Round to three or more decimal places 0 d Find the critical value at the 0 05 level of significance Round to three or more decimal places 7 27 7 15 5 13 11 12 Based on these data can the company conclude at the 0 05 level of significance that the mean assembly time for Process 2 exceeds that of Process 1 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 x 81 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 X 86 82 OO 69 a S O O 8 0 0 050 020 P a S a