BAYFIELD MUD COMPANY CASE
Bayfield Mud Company sent its customer service representative, John Wells, to investigate its product sent to Wet-Land Drilling Inc. The problem was 50-pound bags of mud treating agents sent to Wet-Land recently was underweight by 5%. Wet-Land found that the average weight per bag was 47.51 pounds. Normally, net loads average should be 50 pounds per bag with an acceptable standard division of 1.2 pounds. This mistake of Bayfield Mud had the great impact on Wet-Land’s cost. Bayfield Mud Company needed to solve the problem otherwise Wet-Land might find a new supplier.
QUALITY CONTROL OF BAYFIELD
To discover causes of the problem, Bayfield quality control staff randomized 6 bag samples every hour for 3 days, and then setting Mean chart limits or X bar chart, and Rang chart limits or R chart.
X BAR CHART
Bayfield operated 24 hours a day divided into three-shift operation: shift 1 operating from 6.00 am to 2.00 pm., shift 2 from 2.00 pm. to 10.00 pm., and shift 3 from 10.00 pm. to 6.00 am. Using the data Bayfield staff recorded, we find UCL, LCL, and the average mean of the samples below:
Upper control limit (UCL) = 50.59 pounds
Lower control limit (LCL) = 47.66 pounds
Average mean of the 72 samples = 49.13 pounds
Next we plot the chart in order to find whether changes had occurred in the central tendency of the feeding process.
X BAR CHART: DAY 1
X BAR CHART: DAY 2
X BAR CHART: DAY 3
R CHART
Upper control chart limit for the range (UCLR) = 7.48 pounds
Lower control chart limit for the range (LCLR) = 0
Average range of the 72 samples = 3.73
R CHART: DAY 1
R CHART: DAY 2
R CHART: DAY 3
Regarding to the X bar Chart and R-Chart, the Bay...
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...4816 0 3.733
7:00 AM 2.1 3 4.9 7.4816 0 3.733
8:00 AM 1.8 3.4 3.8 7.4816 0 3.733
9:00 AM 1.6 2.3 4.6 7.4816 0 3.733
10:00 AM 3.1 2.2 7.1 7.4816 0 3.733
11:00 AM 3.1 3.3 4.6 7.4816 0 3.733
12:00 PM 4.2 3.6 2.2 7.4816 0 3.733
1:00 PM 3.6 4.2 3.6 7.4816 0 3.733
Shift 2 2:00 PM 4.6 2.4 2.6 7.4816 0 3.733
3:00 PM 2.6 4.5 2 7.4816 0 3.733
4:00 PM 3.5 5.6 1.5 7.4816 0 3.733
5:00 PM 5.3 4.9 6 7.4816 0 3.733
6:00 PM 5.5 10.2 5.7 7.4816 0 3.733
7:00 PM 5.6 5.5 5.6 7.4816 0 3.733
8:00 PM 4.6 4.7 2.3 7.4816 0 3.733
9:00 PM 3 4.7 2.3 7.4816 0 3.733
Shift 3 10:00 PM 4.6 3.6 2.6 7.4816 0 3.733
11:00 PM 4.5 3 3.8 7.4816 0 3.733
12:00 AM 4.8 2.2 2.8 7.4816 0 3.733
1:00 AM 5.4 3.3 2.2 7.4816 0 3.733
2:00 AM 5.5 3.2 4.2 7.4816 0 3.733
3:00 AM 3.8 0.8 1.6 7.4816 0 3.733
4:00 AM 3.6 4.2 1 7.4816 0 3.733
5:00 AM 2.5 5.6 1.9 7.4816 0 3.733
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chart on a later page. First, though, It probably would be good to tell a
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