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A manufacturer of office machines is considering the production of a new word processor. The decision to start large-scale production of the new machines will be based on the comparison of the mean operating speed using the standard machines (µx) and the mean operating speed using the new machines (µy). Since operators of the machine have varying abilities, a random sample of 20 typists was selected and the speed of each typist in the sample was observed once using the new word processor and once using the standard word processor. The collected data on the speed (in minutes) are as follows: Typist (i) Standard Processor (Xi) New Processor (Yi) 2 3 4 8. 10 60.2 58.7 59.4 60.3 61.7 60.2 64.1 63.2 62.4 57.8 57.2 57.4 56.4 58.5 60.1 61.4 61.9 Б0.4 60 56.8 Typist (i) 14 15 16 17 18 19 20 Standard Processor (Xi) 55.4 61.2 64.7 64.1 62.9 65.8 69.3 56.4 58.5 63.7 New Processor (Yi) 50.2 58.4 63.5 60.5 62.2 66.3 68.5 56.6 58.3 60.2 Assuming normality, compute a 95% confidence interval estimate for µx – µy.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A manufacturer of office machines is considering the production of a new word processor. The decision to start large-scale production
of the new machines will be based on the comparison of the mean operating speed using the standard machines (µx) and the mean
operating speed using the new machines (µy). Since operators of the machine have varying abilities, a random sample of 20 typists
was selected and the speed of each typist in the sample was observed once using the new word processor and once using the standard
word processor. The collected data on the speed (in minutes) are as follows:
Typist (i)
Standard Processor (Xi)
1
2
3
4
5
6.
8
10
60.2
58.7
59.4
60.3
61.7
60.2
64.1
63.2
62.4
57.8
New Processor (Yi)
57.2
57.4
56.4
58.5
60.1
61.4
61.9
60.4
60
56.8
Typist (i)
Standard Processor (Xi)
11
12
13
14
15
16
17
18
19
20
55.4
61.2
64.7
64.1
62.9
65.8
69.3
56.4
58.5
63.7
New Processor (Yi)
50.2
58.4
63.5
60.5
62.2
66.3
68.5
56.6
58.3
60.2
Assuming normality, compute a 95% confidence interval estimate for µx – µy.

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