An important characteristic in the proper operation of ignition keys for automobiles is the groove width of the key.In a large manufacturing plant that produces thousands of keys,control charts have been established to monitor the process of cutting the groove.It is believed that the measurement (in inches) of the groove width is Normally distributed.Over a period of time,20 samples,each of size n = 5,were selected in order to establish 3-sigma and s charts.From these samples the following were determined:
= 0.15932 and
= 0.0193438.For the chart that is being set up,what are the appropriate 3-sigma lower and upper control limits, (LCL,UCL) ?
A) (0.00667,0.00927)
B) (-0.02289,0.03883)
C) (0.13337,0.18527)
D) (0.00659,0.00935)
E) None of the above
Correct Answer:
Verified
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