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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 1 - Problem 31e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 1 - Problem 31e

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# Solved: A Pareto diagram is a variation of a histogram for

ISBN: 9780321629111 32

## Solution for problem 31E Chapter 1

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 31E

A Pareto diagram is a variation of a histogram for categorical data resulting from a quality control study. Each category represents a different type of product nonconformity or production problem. The categories are ordered so that the one with the largest frequency appears on the far left, then the category with the second largest frequency, and so on. Suppose the following information on nonconformities in circuit packs is obtained: failed component, 126; incorrect component, 210; insufficient solder, 67; excess solder, 54; missing component, 131. Construct a Pareto diagram.

Step-by-Step Solution:

Answer : Step 1 : Given a Pareto diagram is a variation of a histogram for categorical data resulting from a quality control study. Each category represents a different type of product nonconformity or production problem. The categories are ordered so that the one with the largest frequency appears on the far left, then the category with the second largest frequency, and so on. Suppose the following information on nonconformities in circuit packs is obtained: We know that. Failed component :126. Incorrect component : 210. Insufficient solder : 67. Excess solder : 54. Missing component : 131. Then the table is given below. Failed component 126 Incorrect component 210 Insufficient solder 67 Excess solder 54 Missing component 131 Now we have to construct a Pareto diagram. Pareto chart : A Pareto chart is a special type of bar chart where the values being plotted are arranged in descending order. Then we arranged the data from highest to smallest. Then the table is given below. Incorrect component 210 Missing component 131 Failed component 126 Insufficient solder 67 Excess solder 54 Then the pareto chart is given below. Then we find Cumulative category and Cumulative percent. Then the table is given below. Category Frequency Cumulative Cumulative category Percent Incorrect 210 210 0.35714286 component Missing 131 =210+131=341 0.57993197 component Failed 126 =341+126=467 0.79421769 component Insufficient 67 =467+67=534 0.90816327 solder Excess solder 54 =534+54=588 1 Total 588 Then pareto chart is given below.

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