software. The comparison of the mean operating speed using the standard machines operating speed using the new machines (uy)will be used to make the decision to be production of the new machines. Because the machine's operators had various talent sample of 10 encoders was chosen, and the speed of each encoder in the sample was both the new and standard word processors. Assuming normality, compute a 95% con estimate for (x-μy). The following are the obtained da on nood fin minutoch

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 7E: List the sample space of each experiment. Selecting a letter of the alphabet
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A factory that manufactures office computers is considering developing a new word processing
software. The comparison of the mean operating speed using the standard machines (ux) and the mean
operating speed using the new machines (uy) will be used to make the decision to begin large-scale
production of the new machines. Because the machine's operators had various talents, a random
sample of 10 encoders was chosen, and the speed of each encoder in the sample was measured using
both the new and standard word processors. Assuming normality, compute a 95% confidence interval
estimate for (ux - μy).
The following are the obtained data on speed (in minutes):
8
9
10
Encoder (i) 1 2 3 4 5 6 7
Standard 60.2 58.7 59.4 60.3 61.7 60.2
Processor
64.1
63.2
62.4
57.8
(Xi)
New
57.2 57.4 56.4 58.5
60.1 61.4
61.9
60.4 60
56.8
Processor
(Yi)
Encoder
11
12
13
14
15
16
17
18
19
20
(1)
Standard 55.4 61.2 64.7 64.1 62.9 65.8
69.3
56.4
58.5
63.7
Processor
(Xi)
New
50.2 58.4 63.5 60.5 62.2 66.3 68.5 56.6 58.3 60.2
Processor
(Yi)
Transcribed Image Text:A factory that manufactures office computers is considering developing a new word processing software. The comparison of the mean operating speed using the standard machines (ux) and the mean operating speed using the new machines (uy) will be used to make the decision to begin large-scale production of the new machines. Because the machine's operators had various talents, a random sample of 10 encoders was chosen, and the speed of each encoder in the sample was measured using both the new and standard word processors. Assuming normality, compute a 95% confidence interval estimate for (ux - μy). The following are the obtained data on speed (in minutes): 8 9 10 Encoder (i) 1 2 3 4 5 6 7 Standard 60.2 58.7 59.4 60.3 61.7 60.2 Processor 64.1 63.2 62.4 57.8 (Xi) New 57.2 57.4 56.4 58.5 60.1 61.4 61.9 60.4 60 56.8 Processor (Yi) Encoder 11 12 13 14 15 16 17 18 19 20 (1) Standard 55.4 61.2 64.7 64.1 62.9 65.8 69.3 56.4 58.5 63.7 Processor (Xi) New 50.2 58.4 63.5 60.5 62.2 66.3 68.5 56.6 58.3 60.2 Processor (Yi)
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