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Chapter 2: Q.13-1C (page 343)

Question: Prepare X -and R-charts using these data with the method described in the chapter

Short Answer

Expert verified

Answer

Thebar X and R chartis a type of statistical process monitoring scheme, also known as a control chart.

Step by step solution

01

Determining the X-bar charts

As given,

A2 = 0.73

D3 = 0

D4 = 2.28

N = 4

Calculating the upper and lower limits of X-bar -

Where,

x== 30.40289

A2= 0.73

R-= 5.932155

Upper Control Limit = x=+A2R-

= 30.40289 + (0.73 x 5.932155)

= 30.40289 + 4.33047

= 34.73

Lower Control Limit =x=-A2R-

= 30.40289 - (0.73 x 5.932155)

= 30.40289 - 4.33047

= 26.07

The bar chart is represented below:

02

 Determining the R-chart

Given,

A2 = 0.73

D3 = 0

D4 = 2.28

Calculating the upper and lower limits of R-bar -

Upper Control Limit =D4R-

= 2.28 X 5.932155

= 13.53

Lower Control Limit =D3R-

= 0 X 5.932155

= 0

The R-chart is represented below:

The chart is shown below:

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