Question

The data in the table below represents the number of nonconformities per 1000 meters in telephone cable. Using R language to analyze the data and determine: Is process in statistical control? What control procedure would you recommend for future production? Please include all necessary code and chart to solve the problem.

Telephone Cable Data for Exercise 7.53 Number of Sample Number of Sample Number Nonconformities Number Nonconformities 13 15

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Answer #1

The p-chart is used to plot the proportion of nonconformities,

The control chart is plotted in Rstudio. The R code is shown below,

R code:

abcd.csv*x abcd.csV 1 p. data-c(1,1,3,7,8,10,5,13,0,19,24,6,9 ,11,15,8,3,6,7,4,9,20) 2 qcc(p. data, type-p, size-1000)

>p.data=c(1,1,3,7,8,10,5,13,0,19,24,6,9,11,15,8,3,6,7,4,9,20)
>qcc(p.data,type="p", size=1000)

The screenshot for the p-chart is shown below,

p Chart for p.data 8 UCL CL 8 - LCL 1 3 5 7 9 11 13 15 17 19 21 Group 22 Number of groups Center= 0.008590909 LCL=0 3 Number

From the chart we can see that there are 3 samples are beyond the control limits hence the process is not in control.

{If you do not have install "qcc" package, please install by following code >install.packages("qcc") )

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