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Chapter 2: Q92. (page 116)
In terms of percentiles, define QL, QM and QU
The QL is 25th percentile.
The QM is 50th percentile.
The QU is 75th percentile.
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Management system failures.The U.S. Chemical Safety and Hazard Investigation Board (CSB) is responsible for determining the root cause of industrial accidents (Process Safety Progress, December 2004). The accompanying table gives a breakdown of the root causes of 83 incidents caused by management system failures.
Management System Cause Category | Number of Incidents |
Engineering & Design Procedures & Practices Management & Oversight Training & Communication | 27 24 22 10 |
Total | 83 |
a.Find the relative frequency of the number of incidents for each cause category.
b.Construct a Pareto diagram for the data.
c.From the Pareto diagram, identify the cause categories with the highest (and lowest) the relative frequency of incidents.
Question: Construct a scatterplot for the data in the following table.
Variable 1: 5 3 -1 2 7 6 4 0 8
Variable 2: 14 3 10 1 8 5 3 2 12
Voltage sags and swells.Refer to the Electrical Engineering(Vol. 95, 2013) study of power quality (measured by“sags” and “swells”) in Turkish transformers, Exercise 2.96(p. 116). For a sample of 103 transformers built for heavyindustry, the mean and standard deviation of the numberof sags per week were 353 and 30, respectively; also, themean and standard deviation of the number of swells perweek were 184 and 25, respectively. Consider a transformerthat has 400 sags and 100 swells in a week.
a.Would you consider 400 sags per week unusual, statistically? Explain.
b.Would you consider 100 swells per week unusual, statistically? Explain.
Performance-based logistics.Refer to the Journal of Business Logistics(Vol. 36, 2015) study of the factors thatlead to successful performance-based logistics (PBL) projects, Exercise 1.15 (p. 49). Recall that the opinions of a sampleof 17 Department of Defense employees and suppliers weresolicited during interviews. Demographics (current position,organization type, experience) were recorded for each intervieweeand the data are listed in the table below.
a.Find and interpret the mean years of experience for the 17 interviewees.
b.Find and interpret the median years of experience for the 17 interviewees.
c.Find and interpret the mode of the 17 years of experience values.
Interviewee | Position | Organization | Experience(years) |
1 | Vice president | Commercial | 30 |
2 | Postproduction | Government | 15 |
3 | Analyst | Commercial | 10 |
4 | Senior manager (mgr.) | Government | 30 |
5 | Support chief | Government | 30 |
6 | Specialist | Government | 25 |
7 | Senior analyst | Commercial | 9 |
8 | Division chief | Government | 6 |
9 | Item mgr. | Government | 3 |
10 | Senior mgr. | Government | 20 |
11 | MRO mgr. | Government | 25 |
12 | Logistics mgr. | Government | 30 |
13 | MRO mgr. | Commercial | 10 |
14 | MRO mgr. | Commercial | 5 |
15 | MRO mgr. | Commercial | 10 |
16 | Specialist | Government | 20 |
17 | Chief | Government | 25 |
Made-to-order delivery times.Refer to the data on delivery times for a made-to-order product, Exercise 2.34 (p. 87). The delivery times (in days) for a sample of 25 orders are repeated in the accompanying table. (Times marked by an asterisk are associated with customers who subsequently placed additional orders with the company.) Identify any unusual observations (outliers) in the data set, and then use the results to comment on the claim that repeat customers tend to have shorter delivery times than one-time customers.
50* 64* 56* 43* 64* 82* 65* 49* 32* 63* 44* 71 54* 51* 102 49* 73* 50* 39* 86 33* 95 59* 51* 68 |
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