Benjamin Neve\'s... Upper Control Limit (UCL x-bar)= lb (round to two decimal pl

Question

Benjamin Neve's...

Upper Control Limit (UCL x-bar)= lb (round to two decimal places)

Lower Control Limit (LCL x-bar)= lb (round to two decimal places)

Benjamin Neve's bowling ball factory in Pennsylvania makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.36 pounds. Each day for 24 days, the average weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows: Average Average Average Average Day (lb.) Day (lb.)Day(lb.) Day(lb.) 15.6 13 15.5 19 15.7 14 15.5 20 16.0 15 15.6 21 155 4 15.8 10 16.2 16 16.1 2215.7 5 15.6 1 15.7 1715.6 23 15.5 15.918 15.5 24 16.1 16.5 2 15.9 3 15.7 815.6 9 15.6 15.8 12 a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?

Explanation / Answer

UCL = Mean + 3*Std Deviation                           16.8383 LCL = Mean - 3*Std Deviation                           14.6783

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