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Chapter 2: 142SE (page 142)
Refer to Exercise 2.141. Assuming all populations are approximately mound-shaped, for parts a鈥揹, determine whether the values 0, 4, and 12 are outliers.
a. Outlier 鈥� 12
b. Outlier - 12
c. Outlier - 0
d. No Outliers
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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.
Suppose a data set consisting of exam scores has a lower quartile QL = 60, a median QM = 75, and an upper quartile QU = 85. The scores on the exam range from 18 to 100. Without having the actual scores available to you, construct as much of the box plot as possible.
Explain how the relationship between the mean and median provides information about the symmetry or skewness of the data鈥檚 distribution.
Question: The output from a statistical software package indicates that the mean and standard deviation of a data set consisting of 200 measurements are \(1,500 and \)300, respectively.
a.What are the units of measurement of the variable of interest? Based on the units, what type of data is this: quantitative or qualitative?
b.What can be said about the number of measurements between \(900 and \)2,100? Between \(600 and \)2,400? Between \(1,200 and \)1,800? Between \(1,500 and \)2,100?
Spreading rate of spilled liquid.A contract engineer atDuPont Corp. studied the rate at which a spilled volatileliquid will spread across a surface (Chemical EngineeringProgress, January 2005). Assume 50 gallons of methanol
spills onto a level surface outdoors. The engineer used derived empirical formulas (assuming a state of turbulent-freeconvection) to calculate the mass (in pounds) of the spillafter a period of time ranging from 0 to 60 minutes. The calculatedmass values are given in the table. Is there evidenceto indicate that the mass of the spill tends to diminish astime increases?
Support your answer with a scatterplot.
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