21.What is the LCL for the X-bar? 22.What is the LCL for the R chart? 23.Both th
ID: 3396673 • Letter: 2
Question
21.What is the LCL for the X-bar?
22.What is the LCL for the R chart?
23.Both the X-bar and the R chart show that the process appears to be:
a. not in a state of statistical control
b. in a state of statistical control
c. very weak
d. efficient
e. inefficient
24.Assuming that the process standard deviation has remained at its historical value of .01, what is the UCL for the mean
25. the x-bar chart, under the assumption given in problem 24 shows that the process is:
a. not in a state of statistical control
b. in a state of statistical control
c. very weak
d. inefficient
e. none of the above
26. if the process is not in control, it is necessary to:
a. correct the common cause variation only
b. correct the special cause varition only
c. correct both common and special cause variation
d. do nothing
e. none of the above
Explanation / Answer
21) Lower Control Limit (LCL) = X double bar - A2 * R bar=11.49965-0.577*0.04875=11.47152
22)
R cahrt
LCL=D3Rbar=0
23) all the xabr and R values are within the control limits. (this is verified by calculation). Hence the process is in a state of statistical control.
24) ucl=11.49965+0.577*0.01=11.5054
25) some points fall outside the control limits, hence not in a state of statistical control.
26) correct the special cause varition only
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