The time needed by a person to sort wet and dry wastes is to be determined so that it can be used as the baseline performance of a novel trash sorting machine that is planned to be developed. For the data gathering procedure, 25 people were recruited, each of whom were tasked to segregate the dry trash from the wet trash in a one-kilogram pile of mixed household wastes. The following data in minutes were measured. 23.1 22.2 23.6 21.9 21.3 23.8 20.9 15.3 11.1 23.8 19.1 20.5 24.1 20.3 35.4 29.2 20.1 25.0 19.7 26.5 19.5 26.8 27.1 28.1 19.2 Estimate the maximum variability in the sorting time that must not be exceeded by the novel trash sorting machine.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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The time needed by a person to sort wet and dry wastes is to be determined so that it can be used as the baseline performance of a novel trash sorting
machine that is planned to be developed. For the data gathering procedure, 25 people were recruited, each of whom were tasked to segregate the dry trash
from the wet trash in a one-kilogram pile of mixed household wastes. The following data in minutes were measured.
23.1
22.2
23.6
21.9
21.3
23.8
20.9
15.3
11.1
23.8
19.1
20.5
24.1
20.3
35.4
29.2
20.1
25.0
19.7
26.5
19.5
26.8
27.1
28.1
19.2
Estimate the maximum variability in the sorting time that must not be exceeded by the novel trash sorting machine.
Transcribed Image Text:The time needed by a person to sort wet and dry wastes is to be determined so that it can be used as the baseline performance of a novel trash sorting machine that is planned to be developed. For the data gathering procedure, 25 people were recruited, each of whom were tasked to segregate the dry trash from the wet trash in a one-kilogram pile of mixed household wastes. The following data in minutes were measured. 23.1 22.2 23.6 21.9 21.3 23.8 20.9 15.3 11.1 23.8 19.1 20.5 24.1 20.3 35.4 29.2 20.1 25.0 19.7 26.5 19.5 26.8 27.1 28.1 19.2 Estimate the maximum variability in the sorting time that must not be exceeded by the novel trash sorting machine.
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