/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q30E A Pareto diagram is a variation ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q30E (page 29)

A Pareto diagram is a variation of a histogram forcategorical data resulting from a quality control study.Each category represents a different type of product non-conformity or production problem. The categories areordered so that the one with the largest frequencyappears on the far left, then the category with the secondlargest frequency, and so on. Suppose the following information on nonconformities in circuit packs isobtained: failed component, 126; incorrect component,210; insufficient solder, 67; excess solder, 54; missingcomponent, 131. Construct a Pareto diagram.

Short Answer

Expert verified

The frequenciesof occurrence, according to problem categories are provided which helps in designing the Pareto Chart. These four categories are given in the accompanying table:

Category

Frequency

failed component

126

incorrect component

210

insufficient solder

67

excess solder

54

missingcomponent

131

Step by step solution

01

Given information

The frequenciesof occurrence, according to problem categories are provided which helps in designing the Pareto Chart. These four categories are given in the accompanying table:

Category

Frequency

failed component

126

incorrect component

210

insufficient solder

67

excess solder

54

missingcomponent

131

02

Construct Pareto Chart of Problem Categories.

Following are the steps to construct a dot-plot of cylinder observations:

  1. Order all the problem categories from smallest to largest.
  2. Open Minitab and enter the given data into the worksheet.
  3. Choose Stat and select 鈥淨uality Tools鈥�. Under quality tools select 鈥淧areto Chart鈥�.
  4. Double click on C1 category to specify it in defects or attribute data. Similarly, Double click on C2 category to specify it in Frequency.
  5. All other values remain same and then click 鈥淥k鈥�.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A study carried out to investigate the distribution of total braking time (reaction time plus accelerator-to-brake movement time, in ms) during real driving conditions at 60 km/hr gave the following summary information on the distribution of times (鈥淎 Field Study on Braking Responses During Driving,鈥� Ergonomics, 1995: 1903鈥�1910):

mean= 535 median=500 mode=500

sd=96 minimum=220 maximum=925

5th percentile=400 10th percentile=430

90th percentile =640 95th percentile= 720

What can you conclude about the shape of a histogram of this data? Explain your reasoning.

Blood pressure values are often reported to the nearest5 mmHg (100, 105, 110, etc.). Suppose the actual bloodpressure values for nine randomly selected individuals are

118.6 127.4 138.4 130.0 113.7 122.0 108.3131.5 133.2

  1. What is the median of the reportedblood pressure values?
  2. Suppose the blood pressure of the second individual is 127.6 rather than 127.4 (a small change in a single value). How does this affect the median of the reported values? What does this say about the sensitivity of the median to rounding or grouping in the data?

The article 鈥淒etermination of Most RepresentativeSubdivision鈥� (J. of Energy Engr., 1993: 43鈥�55) gavedata on various characteristics ofsubdivisions that couldbe used in deciding whether to provide electrical powerusing overhead lines or underground lines. Here are thevalues of the variable x=total length of streets within asubdivision:

1280

5320

4390

2100

1240

3060

4770

1050

360

3330

3380

340

1000

960

1320

530

3350

540

3870

1250

2400

960

1120

2120

450

2250

2320

2400

3150

5700

5220

500

1850

2460

5850

2700

2730

1670

100

5770

3150

1890

510

240

396

1419

2109

a. Construct a stem-and-leaf display using the thousandsdigit as the stem and the hundreds digit as theleaf, and comment on the various features of thedisplay.

b. Construct a histogram using class boundaries 0, 1000, 2000, 3000, 4000, 5000, and 6000. What proportion of subdivisions have a total length less than 2000? Between 2000 and 4000? How would you describe the shape of the histogram?

The propagation of fatigue cracks in various aircraft parts has been the subject of extensive study in recent years. The accompanying data consists of propagation lives(flight hours/\({\bf{1}}{{\bf{0}}^{\bf{4}}}\)) to reach a given crack size in fastener holes intended for use in military aircraft (鈥淪tatistical Crack Propagation in Fastener Holes Under Spectrum Loading,鈥� J. Aircraft,1983: 1028鈥�1032):

.736 .863 .865 .913 .915 .937 .983 1.007

1.011 1.064 1.109 1.132 1.140 1.153 1.253 1.394

  1. Compute and compare the values of the sample mean and median.
  2. By how much could the largest sample observation be decreased without affecting the value of the median?

The generalized negative binomial \({\rm{pmf}}\) is given by

\(\begin{aligned}{\rm{nb(x;r,p) &= k(r,x)}} \cdot {{\rm{p}}^{\rm{r}}}{{\rm{(1 - p)}}^{\rm{x}}}\\{\rm{x &= 0,1,2,}}...\end{aligned}\)

Let \({\rm{X}}\), the number of plants of a certain species found in a particular region, have this distribution with \({\rm{p = }}{\rm{.3}}\) and \({\rm{r = 2}}{\rm{.5}}\). What is \({\rm{P(X = 4)}}\)? What is the probability that at least one plant is found?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.