A manufacturer of dustless chalk instituted a quality control program to monitor chalk density. The sample...

A manufacturer of dustless chalk instituted a quality control program to monitor chalk density. The sample standard deviations of densities for 24 different subgroups, each consisting of n = 8 chalk specimens, were as follows:

This data has been coded so that you may copy and paste it into R with the name k.sdevs.

k.sdevs = c(0.203,	0.312,	0.098,	0.183,	0.227,	0.210,	0.323,	0.284,
0.146,	0.214,	0.053,	0.145,	0.272,	0.350,	0.158,	0.217,
0.387,	0.187,	0.147,	0.226,	0.278,	0.119,	0.091,	0.053)

mean(k.sdevs)

# Construct your own Control Chart.
LCL = 0.15 ##### change this value to be the same as your calculated LCL
UCL = 0.35 ##### change this value to be the same as your calculated UCL
plot(k.sdevs)
abline(h = mean(k.sdevs))
abline(h = LCL, lty = 2)
abline(h = UCL, lty = 2)

Calculate limits for an S chart. (Round your answers to four decimal places.)

s	=
a_n	=
LCL	=
UCL	=

Expert Solution

orchestra answered 2 years ago

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