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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