The baking time of painted corrugated sheet metal is of interest. Too much time will cause the paint to flake, and too little time will result in an unacceptable finish. The specifications on baking time are 10 ‡ 0.2 min. Random samples of size 6 are selected. and their baking times noted. The sample means and standard deviation are calculated for 20 samples, with the following results:
[X., = 199.8 and [S.= 1.4
AFind the control limits for the & and S charts.
BEstimate the process mean and the standard deviation assuming the process to be in control.
CIs the process capable? What proportion of the output is nonconforming?
DIf the mean of the process can be shifted to 10 min., would you recommend such a change?
EIf the process means changes to 10.2 min, what is the probability of detecting this change on the first sample taken after this shift? Assume that the process variability has not changed.
[X., = 199.8 and [S.= 1.4
AFind the control limits for the & and S charts.
BEstimate the process mean and the standard deviation assuming the process to be in control.
CIs the process capable? What proportion of the output is nonconforming?
DIf the mean of the process can be shifted to 10 min., would you recommend such a change?
EIf the process means changes to 10.2 min, what is the probability of detecting this change on the first sample taken after this shift? Assume that the process variability has not changed.