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Chapter 14: Q4CQQ (page 654)

What is the difference between an R chart and an\(\bar x\) chart?

Short Answer

Expert verified

The key difference between an\(\bar x\) chart and an R chart is that the \(\bar x\) chart is used to monitor the change in the average value of the variable over time. In contrast, the R chart monitors the change in the range/variability of the variable over time.

Step by step solution

01

Given information

An R chart and \(\bar x\) chart are plotted to identify whether a process is under statistical control or not.

02

Step 2:Difference between R chart and \(\bar x\) chart

An R chart is a plot that shows the sample ranges of all the samples varied over time.

It is plotted when the individual sample size is less than 10.

It examines the variation present in the process.

An\(\bar x\)chart is a plot that shows the sample means varied over time.

It examines the central value of the process.

The main difference between the two types of control charts is that the\(\bar x\)chart is used to assess the process mean,whereas the R chart isused to assess process variability.

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Most popular questions from this chapter

What are process data?

Listed below are annual sunspot numbers paired with annual high values of the Dow Jones Industrial Average (DJIA). Sunspot numbers are measures of dark spots on the sun, and the DJIA is an index that measures the value of select stocks. The data are from recent and consecutive years. Use a 0.05 significance level to test for a linear correlation between values of the DJIA and sunspot numbers. Is the result surprising?

Sunspot

DJIA

45

10941

31

12464

46

14198

31

13279

50

10580

48

11625

56

12929

38

13589

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16577

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18054

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Energy Consumption. Exercises 1鈥�5 refer to the amounts of energy consumed in the author鈥檚 home. (Most of the data are real, but some are fabricated.) Each value represents energy consumed (kWh) in a two-month period. Let each subgroup consist of the six amounts within the same year. Data are available for download at.


Jan.-Feb.

Mar.-April

May-June

July-Aug.

Sept.-Oct.

Nov.-dec.

Year 1

3637

2888

2359

3704

3432

2446

Year 2

4463

2482

2762

2288

2423

2483

Year 3

3375

2661

2073

2579

2858

2296

Year 4

2812

2433

2266

3128

3286

2749

Year 5

3427

578

3792

3348

2937

2774

Year 6

4016

3458

3395

4249

4003

3118

Year 7

4016

3458

3395

4249

4003

3118

Year 8

4016

3458

3395

4249

4003

3118

Energy Consumption: R Chart Let each subgroup consist of the 6 values within a year. Construct an R chart and determine whether the process variation is within statistical control. If it is not, identify which of the three out-of-control criteria lead to rejection of statistically stable variation
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