The following are quality control data for a manufacturing process at Kensport C

Question

The following are quality control data for a manufacturing process at Kensport Chemical Company. The data show the temperature in degrees centigrade at five points in time during a manufacturing cycle. The company is interested in using control charts to monitor the temperature of its manufacturing process.

What is the upper control limit for the R chart (to 2 decimals)?

What is the upper control limit and lower control limit for the |x-bar| chart (to 2 decimals)?

Sample x¯ R 1 95.72 1.0 2 95.24 0.9 3 95.18 0.8 4 95.44 0.4 5 95.46 0.5 6 95.32 1.1 7 95.40 0.9 8 95.44 0.3 9 95.08 0.2 10 95.50 0.6 11 95.80 0.6 12 95.22 0.2 13 95.56 1.3 14 95.22 0.5 15 95.04 0.8 16 95.72 1.1 17 94.82 0.6 18 95.46 0.5 19 95.60 0.4 20 95.74 0.6

Explanation / Answer

D4=2.115, A2=.577 at m=5. UCL for R chart = D4(Rbar)=(2.115)*(13.3/20)=1.41. UCL for Xbar chart =( X double bar) +( A2*Rbar) = (1907.96/20)+(.577*.665)=95.78, & LCL for Xbar chart =( X double bar) - ( A2*Rbar) = (1907.96/20)-(.577*.665)=95.01.

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