A computer manufacturer is interested in comparing assembly times for two keyboard assembly pro- standard process used for several years, and Process 2 is an updated process hoped to bring a decre times can vary considerably from worker to worker, and the company decides to eliminate this effect random and timing each worker on each assembly process. Half of the workers are chosen at randor rest use Process 2 first. For each worker and each process, the assembly time (in minutes) is record 5 6 7 Worker Process 1 1 84 2 64 3 85 4 88 35 62 80 8 48

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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
Process 1
Difference
(Process 1 - Process 2)
Send data to calculator V
Process 2
H
Explanation
1
84
68
Check
16
2
64
29
35
3
85
65
20
4
5
88 35
71
36
17 - 1
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
6
62
36
26
7
80
46
34
8
Based on these data, can the company conclude, at the 0.10 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 μ (which is u with a letter "d"
μ
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.
48
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.)
46
2
μ σ
р
Españo
?
BU
▷
Aa
C
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibi
Transcribed Image Text: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 Process 1 Difference (Process 1 - Process 2) Send data to calculator V Process 2 H Explanation 1 84 68 Check 16 2 64 29 35 3 85 65 20 4 5 88 35 71 36 17 - 1 (a) State the null hypothesis Ho and the alternative hypothesis H₁. 6 62 36 26 7 80 46 34 8 Based on these data, can the company conclude, at the 0.10 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 μ (which is u with a letter "d" μ 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. 48 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.) 46 2 μ σ р Españo ? BU ▷ Aa C Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibi
round your answers as specified. (If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
Ho :
H₁:0
(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.)
(d)
Find the critical value at the 0.10 level of significance. (Round to three or more decimal
places.)
(e) At the 0.10 level, can the company conclude that the mean assembly time for Process 1
exceeds that of Process 2?
O Yes O No
Explanation
Check
© 2022 McGraw Hill LLC. All Rights Reserved.
Transcribed Image Text:round your answers as specified. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho : H₁:0 (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.) (d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.) (e) At the 0.10 level, can the company conclude that the mean assembly time for Process 1 exceeds that of Process 2? O Yes O No Explanation Check © 2022 McGraw Hill LLC. All Rights Reserved.
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