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.Examination of the chart and the s chart for the samples led to the conclusion that the process was in control at this time.Because this process is in a state of statistical control,we are able to predict what to expect in the finished product.What will be the natural tolerances for the grooves in the ignition keys?

Question

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.Examination of the

chart and the s chart for the samples led to the conclusion that the process was in control at this time.Because this process is in a state of statistical control,we are able to predict what to expect in the finished product.What will be the natural tolerances for the grooves in the ignition keys?

Quizplus · Accepted Answer

The Answer of 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.Examination of the chart and the s chart for the samples led to the conclusion that the process was in control at this time.Because this process is in a state of statistical control,we are able to predict what to expect in the finished product.What will be the natural tolerances for the grooves in the ignition keys? A)(0.00659,0.00935) B)(0.00488,0.01105) C)(0.00506,0.01087) D)(0.13337,0.18527) E)This cannot be determined with the given information.

An Important Characteristic in the Proper Operation of Ignition Keys