Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

What is the difference between random variation and assignable variation?

Short Answer

Expert verified

Theassignable variations arise suddenly, are substantial, and negatively impact the process. On the other hand, random variations occur naturally;they are not severe and have little impact on the process.

Step by step solution

01

Given information

The difference between assignable variation and random variation is defined.

02

Assignable variation

Assignable variation is the variation present in a process that arises due to a deliberate/external flaw or element.

For example, a deliberate change in the machine setting can result in defective products.

Here, the cause of variation is the alteration in the machine setting, and the resultant assignable variation is the defective product.

It is essential to alleviate the assignable cause of variation so that the process makes good and acceptable goods.

03

Random variation

Random variation is the variation that occurs randomly in the process, mainly due to chance causes.

For example, periodic heating in an element of a machine results in a slight variation in the texture of the product.

Here, the cause of the random variation is the periodic heating of the machine, and the random variation is the slight change in the texture.

The random variations are inherently present in the process as no two goods/services produced can be perfectly identical. Thus, random causes of variation can be removed.

04

Difference between the random variiation and the assignable variation

The main difference between the assignable variation and the random variation is that assignable occurs suddenly, is large and significant, and affects the process adversely. On the other hand,the random variation exists naturally, is not drastic, and does not significantly affect the process.

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 Vaia!

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

In Exercises 5โ€“8, use the following two control charts that result from testing batches of newly manufactured aircraft altimeters, with 100 in each batch. The original sample values are errors (in feet) obtained when the altimeters are tested in a pressure chamber that simulates an altitude of 6000 ft. The Federal Aviation Administration requires an error of no more than 40 ft at that altitude.

Is the process mean within statistical control? Why or why not?

Heights On the basis of Data Set 1 โ€œBody Dataโ€ in Appendix B, assume that heights of men are normally distributed, with a mean of 68.6 in. and a standard deviation of 2.8 in.

a. The U.S. Coast Guard requires that men must have a height between 60 in. and 80 in. Findthe percentage of men who satisfy that height requirement.

b. Find the probability that 4 randomly selected men have heights with a mean greater than 70 in.

Quarters. In Exercises 9โ€“12, refer to the accompanying table of weights (grams) of quarters minted by the U.S. government. This table is available for download at www.TriolaStats.com.

Day

Hour 1

Hour 2

Hour 3

Hour 4

Hour 5

xยฏ

s

Range

1

5.543

5.698

5.605

5.653

5.668

5.6334

0.0607

0.155

2

5.585

5.692

5.771

5.718

5.72

5.6972

0.0689

0.186

3

5.752

5.636

5.66

5.68

5.565

5.6586

0.0679

0.187

4

5.697

5.613

5.575

5.615

5.646

5.6292

0.0455

0.122

5

5.63

5.77

5.713

5.649

5.65

5.6824

0.0581

0.14

6

5.807

5.647

5.756

5.677

5.761

5.7296

0.0657

0.16

7

5.686

5.691

5.715

5.748

5.688

5.7056

0.0264

0.062

8

5.681

5.699

5.767

5.736

5.752

5.727

0.0361

0.086

9

5.552

5.659

5.77

5.594

5.607

5.6364

0.0839

0.218

10

5.818

5.655

5.66

5.662

5.7

5.699

0.0689

0.163

11

5.693

5.692

5.625

5.75

5.757

5.7034

0.0535

0.132

12

5.637

5.628

5.646

5.667

5.603

5.6362

0.0235

0.064

13

5.634

5.778

5.638

5.689

5.702

5.6882

0.0586

0.144

14

5.664

5.655

5.727

5.637

5.667

5.67

0.0339

0.09

15

5.664

5.695

5.677

5.689

5.757

5.6964

0.0359

0.093

16

5.707

5.89

5.598

5.724

5.635

5.7108

0.1127

0.292

17

5.697

5.593

5.78

5.745

5.47

5.657

0.126

0.31

18

6.002

5.898

5.669

5.957

5.583

5.8218

0.185

0.419

19

6.017

5.613

5.596

5.534

5.795

5.711

0.1968

0.483

20

5.671

6.223

5.621

5.783

5.787

5.817

0.238

0.602

Quarters: xยฏ-Chart Treat the 5 measurements from each day as a sample and construct an xยฏ- chart. What does the result suggest?

xยฏ- Chart Based on Standard Deviations An x chart based on standard deviations (instead of ranges) is constructed by plotting sample means with a centerline at x and control limits at x + A3s and x - A3s, where A3 is found in Table 14-2 on page 660 and s is the mean of the sample standard deviations. Use the data in Table 14-1 on page 655 to construct an xchart based on standard deviations. Compare the result to the x chart based on sample ranges in Example 5 โ€œx Chart of Altimeter Errors.โ€

In Exercises 5โ€“8, use the following two control charts that result from testing batches of newly manufactured aircraft altimeters, with 100 in each batch. The original sample values are errors (in feet) obtained when the altimeters are tested in a pressure chamber that simulates an altitude of 6000 ft. The Federal Aviation Administration requires an error of no more than 40 ft at that altitude.

What is the value ofRยฏ? In general, how is a value ofRยฏobtained?

See all solutions

Recommended explanations on Math Textbooks

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.

Sign-up for free