Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 9.4, Problem 8E
The article “Multi-objective Scheduling Problems: Determination of Pruned Pareto Sets” (H. Taboada and D. Coit, IIE Transactions, 2008:552–564). presents examples in a discussion of optimization methods for industrial scheduling and production planning. In one example, seven different jobs were performed on each of five machines. The cost of each job on each machine is presented in the following table. Assume that it is of interest to determine whether costs differ between machines, but that it is not of interest whether costs differ between jobs.
- a. Identify the blocking factor and the treatment factor.
- b. Construct an ANOVA table. You may give
ranges for the P-values. - c. Can you conclude that there are differences in costs between some pairs of machines? Explain.
- d. Which pairs of machines, if any, can you conclude, at the 5% level, to have differing mean costs?
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Students have asked these similar questions
The article "Multi-objective Scheduling Problems: Determination of Pruned Pareto Sets"
(H. Taboada and D. Coit, IIE Transactions, 2008:552-564), presents examples in a
discussion of optimization methods for industrial scheduling and production planning. In
one example, seven different jobs were performed on each of five machines. The cost of
each job on each machine is presented in the following table. Assume that it is of interest to
determine whether costs differ between machines, but that it is not of interest whether costs
differ between jobs.
Job
Machine
2
16
24
18
22
26
20
22
B
22
18
30
20
28
18
26
12
12
15
18
22
12
16
D
18
28
16
26
34
18
18
14
14
11
16
18
10
12
a. Identify the blocking factor and the treatment factor.
b. Construct an ANOVA table. You may give ranges for the P-values.
Can you conclude that there are differences in costs between some pairs of machines?
Explain.
d. Which pairs of machines, if any, can you conclude, at the 5% level, to have differing
mean costs?
C.…
In an LTL (less-than-truckload) trucking company, terminal docks include casual work-
ers who are hired temporarily to account for peak loads. At the Omaha, Nebraska, dock,
the minimum demand for casual workers during the seven days of the week (starting on
Monday) is 20, 14, 10, 15, 18, 10, 12 workers. Each worker is contracted to work five con-
secutive days. Determine an optimal weekly hiring practice of casual workers for the
company.
Suppose you have been hired as a management consultant by a major oil company to help it optimally price gasoline at its service stations. Your client would like your team to perform a study on customers' gasoline purchasing habits when they notice an increase in the price of gas.
You have access to the following groups of people:
Group Description
Number in Group
People who have not noticed a gas-price increase
30
People who drive electric cars
35
People who have recently noticed a gas-price increase
80
People who ride their bikes to work
20
People who ride the bus
100
To set up your experiment on how price-increase awareness impacts customer behavior, you would have ______ people in your treatment group and ______ people in your control group.
Chapter 9 Solutions
Statistics for Engineers and Scientists
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