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Defects in new automobiles.Consider the following data from the automobile industry. All cars produced on a particular day were inspected for defects. The 145 defects found were categorized by type as shown in the accompanying table.

Defect Type

Number

Accessories

Body

Electrical

Engine

Transmission

50

70

10

5

10

a.Construct a Pareto diagram for the data. Use the graph to identify the most frequently observed type of defect.

b.All 70 car body defects were further classified as to type. The frequencies are provided in the following table. Form a Pareto diagram for the type of body defect. (Adding this graph to the original Pareto diagram of part a is called exploding the Pareto diagram.) Interpret the result. What type of body defect should be targeted for special attention?

Body Defect

Number

Chrome

Dents

Paint

Upholstery

Windshield

2

25

30

10

3

Short Answer

Expert verified

a. Body defect

b.

Pareto diagram for body defect:

Pareto diagram for Paint:

Step by step solution

01

Constructing a Pareto diagram

First, we will arrange the data in descending order,

Now we will plot this data.

The most frequently observed defect is body defect.

02

Creating the Pareto diagram

Arranging the data in descending order,

Body defect is classified into various defects and the most common defect is paint followed by dents and upholstery. The least common problems with the body of a car are windshield and chrome.

As thefrequently repeated body defect is painted,it should be given special attention.

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Most popular questions from this chapter

Discuss the conditions under which the median is preferred to the mean as a measure of central tendency.

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?

Explain how the relationship between the mean and median provides information about the symmetry or skewness of the data’s distribution.

A qualitative variable is measured for 20 companies randomly sampled and the data are classified into three classes, small (S), medium (M), and large (L), based on the number of employees in each company. The data (observed class for each company) are listed below. ______________________________________ SSL M SM M S M S L M S SSS M L S L ----------------------------------------------------------------

a. Compute the frequency for each of the three classes.

b. Compute the relative frequency for each of the three classes.

c. Display the results, part a, in a frequency bar graph.

d. Display the results, part b, in a pie chart.

Consider the horizontal box plot shown below.


a.What is the median of the data set (approximately)?

b.What are the upper and lower quartiles of the data set (approximately)?

c.What is the interquartile range of the data set (approximately)?

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e.What percentage of the measurements in the data set lie to the right of the median? To the left of the upper quartile?

f.Identify any outliers in the data.

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