A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. To do this, the company selects 12 workers at random and asks each of them to use both assembly processes. The assembly time (in minutes) for Process 1 is recorded for each of these workers. Then, the assembly time for Process 2 is recorded for each of the same workers. The data and the differences (Process 1 minus Process 2) are shown in the table below. Worker Process 1 Process 2 Difference (Process 1- Process 2) Send data to calculator 1 Lower limit: Upper limit: 60 78 2 54 67 -18 -13 3 4 54 70 -6 5 64 60 84 S 102 6 87 87 6 -18 0 7 8 39 54 -15 48 64 -16 9 69 90 -21 10 11 38 46 66 12 -8 1 43 65 37 Assume that the population of these differences in assembly times (Process 1 minus Process 2) is approximately normally distributed. A Construct a 90% confidence interval for μ, the population mean difference in assembly times for the two processes. Then find the lower and upper limits of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) 6

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A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. To do this, the company selects 12 workers
at random and asks each of them to use both assembly processes. The assembly time (in minutes) for Process 1 is recorded for each of these workers. Then,
the assembly time for Process 2 is recorded for each of the same workers. The data and the differences (Process 1 minus Process 2) are shown in the table
below.
esc
Worker
Process 1
Process 2.
Difference
(Process 1 - Process 2)
Send data to calculator v
Lower limit:
Upper limit:
Explanation
1
·0:
60
78
-18
2
Check
54
67
-13
X
3
20
54
60
-6
4
70 84
64 102
5
6
S
000 F4
6
87
87
-18 0
F5
7
39
54
-15
8
48
64
9
69
90
- 16 -21
10 11 12
Assume that the population of these differences in assembly times (Process 1 minus Process 2) is approximately normally distributed.
Construct a 90% confidence interval for u, the population mean difference in assembly times for the two processes. Then find the lower and upper limits of the
90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If
necessary, consult a list of formulas.)
38
F7
46
-8
66
65
➤11
1
43
37
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibility
F8
6
F9
Aa
Transcribed Image Text:A personal computer manufacturer is interested in comparing assembly times for two keyboard assembly processes. To do this, the company selects 12 workers at random and asks each of them to use both assembly processes. The assembly time (in minutes) for Process 1 is recorded for each of these workers. Then, the assembly time for Process 2 is recorded for each of the same workers. The data and the differences (Process 1 minus Process 2) are shown in the table below. esc Worker Process 1 Process 2. Difference (Process 1 - Process 2) Send data to calculator v Lower limit: Upper limit: Explanation 1 ·0: 60 78 -18 2 Check 54 67 -13 X 3 20 54 60 -6 4 70 84 64 102 5 6 S 000 F4 6 87 87 -18 0 F5 7 39 54 -15 8 48 64 9 69 90 - 16 -21 10 11 12 Assume that the population of these differences in assembly times (Process 1 minus Process 2) is approximately normally distributed. Construct a 90% confidence interval for u, the population mean difference in assembly times for the two processes. Then find the lower and upper limits of the 90% confidence interval. Carry your intermediate computations to three or more decimal places. Round your answers to two or more decimal places. (If necessary, consult a list of formulas.) 38 F7 46 -8 66 65 ➤11 1 43 37 Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibility F8 6 F9 Aa
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