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Internet Doctors: Graph The accompanying graph was created to depict the results of the survey described in Exercise 1. Is the graph somehow misleading? If so, how?

Short Answer

Expert verified

Because the vertical scale starts at 800 instead of 0, the disparity between "yes" and "no" responses is considerably exaggerated. This creates a wrong impression for the readers. Thus, the graph is misleading.

Step by step solution

01

Given information

A bar chart is displayed showing the number of adults who said “yes” and “no” to a question in a survey.

02

Deceptive graph

In a bar graph, it is very important for the vertical scale to begin from 0.The lengths of the bar are drawn according to the numbers on the vertical scale. Moreover, the length of the bar represents the frequency of the corresponding category.

If the vertical scale does not begin from 0, the difference in the frequencies of the categories is greatly exaggerated.

Here, the vertical scale begins from 800 and not 0. This results in a false impression in the minds of the readers that there is a great difference in the number of adults who said “yes” and who said “no” when the actual difference is not that large.

Thus, the graph is misleading.

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Most popular questions from this chapter

Lake Mead Elevations What does the R chart tell us about Lake Mead?

Quarters. In Exercises 9–12, 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

\(\bar x\)

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: Run Chart Treat the 100 consecutive measurements from the 20 days as individual values and construct a run chart. What does the result suggest?

\(\bar x\)- 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 “x Chart of Altimeter Errors.”

Lake Mead Elevations Many people in Nevada, Arizona, and California get water and electricity from Lake Mead and Hoover Dam. Shown in Exercise 4 are an x chart (top) and an R chart (bottom) obtained by using the monthly elevations (ft) of Lake Mead at Hoover Dam (based on data from the U.S. Department of the Interior). The control charts are based on the 12 monthly elevations for each of 75 consecutive and recent years. What does the x chart tell us about Lake Mead?

p Chart A variation of the control chart for p is the np chart, in which the actual numbers of defects are plotted instead of the proportions of defects. The np chart has a centerline value of \(n\bar p\), and the control limits have values of \(n\bar p + 3\sqrt {n\bar p\bar q} \)and\(n\bar p - 3\sqrt {n\bar p\bar q} \). The p chart and the np chart differ only in the scale of values used for the vertical axis. Construct the np chart for Example 1 “Defective Aircraft Altimeters” in this section. Compare the np chart to the control chart for p given in this section

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