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 71 333 93 -22 2 51 58 الله 3 45 69 4 75 74 5 86 99 -7 -24 1 -13 6 70 72 -2 7 67 86 8 64 65 - 19 - 1 9 63 92 -29 10 11 12 73 47 41 73 64 35 0 -17 6 Based on these data, can the company conclude, at the 0.10 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 μ (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. ▷ Aa M
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 71 333 93 -22 2 51 58 الله 3 45 69 4 75 74 5 86 99 -7 -24 1 -13 6 70 72 -2 7 67 86 8 64 65 - 19 - 1 9 63 92 -29 10 11 12 73 47 41 73 64 35 0 -17 6 Based on these data, can the company conclude, at the 0.10 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 μ (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. ▷ Aa M
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
Related questions
Question
100%
A. Find the value of the test statistic. (Round to three or more decimal places.
B. Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.
C. At the 0.10 level, can the company conclude that the mean assembly time for Process 2 exceeds that of Process 1?
Transcribed Image Text: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
2
71 51
93
58
-22 -7
3
45
69
-24
4
75
74
1
5
86
99
-13
6
70
72
-2
7
67
86
8
64
65
- 19 -1
9
63
92
-29
10
73
73
11
47
12
0 - 17
41
64 35
6
Based on these data, can the company conclude, at the 0.10 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 μ (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.
▷
8
Aa
K
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