AnderSet Laboratories produces rough lenses that will ultimately be ground into
ID: 421194 • Letter: A
Question
AnderSet Laboratories produces rough lenses that will ultimately be ground into precision lenses for use in laboratory equipment. The company has developed the following thickness measures, based on 15 samples of four lenses that were taken when the process was under control EEB Click the icon to view the sample data Click the icon to view the values of the A2, D3, and D4 constants. More Info a. X is 4.148. (Enter your response rounded to three decimal places.) R is .6569. (Enter your response rounded to three decimal places.) Mean (Microns) Minimum Maximum Upper Control Limit (UCLx)-4.627-(Enter your response rounded to three decimal places Lower Control Limit (LCL)- 3.666. Enter your response rounded to three decimal places Upper Control Limit (UCLR) (Enter your response rounded to three decimal places.) 3.806 3.884 4.113 3.835 3.913 4.113 2.971 5.677 4.102 5.288 4.096 4.191 4.245 3.767 4.223 3.732 3.721 4.019 3.787 3.515 3.589 2.933 3.793 2.801 5.174 4.092 3.935 3.956 3.632 4.014 3.973 4.291 4.422 3.948 4.056 4.564 3.948 5.696 4.202 6.378 4.295 4.361 4.342 3.864 4.273 More Info Sample Size N 1.88 1.02 0.73 0.58 0.48 0.42 0.37 0.34 0.31 0.29 0.27 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 4 Print Done 0.08 0.14 0.18 0.22 0.26 0.28 10 12Explanation / Answer
It is given that the sample size = n = 4
Following are the corresponding values of constants for n = 4 which are required for calculation of control limits of Range chart :
D4 = 2.28
D3 = 0
It is also given that Rbar = 0.6569
Therefore ,
Upper control Limit ( UCLr ) = D4.rbar = 2.28 x 0.6569 = 1.497
Lower control Limit ( LCLr ) = 0