I\'m interested in the procedure/formula for (D) X-chart and R-chart. Question D

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I'm interested in the procedure/formula for (D) X-chart and R-chart. Question D F G

U abe X2 X2 SPC CASE ANALYSIS: AMERICO DRILLING SUPPLIES MGT Spring 2017 on November 1, 2013 John Adams, a eustomer service representative of America Drilling supplies (ADsl, was summoned to the Houston warehouse of Drilling Contractors, Inc. (DCI, to inspect three boxears of mud-treating agents that ADs had shipped to the Houston firm. DCI had filed a complaint that the 2s Pound bags of treating agents that it had just received from ADs were short-weight by approximately 5% The light-weight bags were initially deteeted by one of DCI's receiving clerks, who noticed that the rail road side scale tickets indicated that the net weights were significantly less on all three of the boxcars than those of identical ship received on October 2s, 2013. ADs's traffie department was called to determine if lighter-weight dunnage were used on the shipments. This might explain weights. ADS indicated, however, that no changes had been made in the loading palletizing procedures. Hence, DCI randomly checked 25 of the bags and discovered that the average net weight was 24.5 pound s. Consequently, they concluded that the sam ple indicated a significance short-weight. ADS, was then contacted, and Adams was sent to investigate the com plaint and to estimate credit to DCI, however, was not completely satisfied with onl ly the issuance of credit for the short shipment. The charts followed by their mud engin eers on the drilling plat were based on 2s pound bags of treating agents. Lighter-weight bag might result in poor chemical control during the drilling operation and might adversely affect drilling efficieney. Otud-treating agents are used to control the pH and other chemical of the open during drilling operations.) This eeuld cause severe economic ly high cost of oil and natural gas well-drilling eonsequences because of the extreme use instructions had to accompany the delivery of operations. Consequent tly, special oreover, the light-weight shipments had these shipments to the drilling platform and poor space utilization. to be isolated in DCI warehouse, causing extra handling Hence, Adams was informed that CDI might seek a new supplier of mud-treating Emphasis Heading 1 agents if in the future it received bags that deviated significantly below 2s pounds. The quality at ADS suspected that the light-weight bags may control department have resulted from 'growing pains" at the Orange plant. Because of the earlier energy crises, oil and natural gas exploration activity had greatly inereased. This increased activity, in turn created increased demand for products produced by industries, including drilling muds. Consequently, ADS had to expand from one shift 16 A to 2 P.M) to a two-shift 12 P.M. to 10 P MJ operation in Mad 2011s, and finally to a three-shift operation (24 hours per day in January of 2013 The additional night shift bagging crew as staffed en rely by most experieneed foremen were tem porarily assigned to supervise the night shift. Most eml phasis was placed on increasing the output of bags to meet the ever- creasing demand. It was suspected that only occasional reminders were made to double-check the bag weight feeder. double cheek is performed by aystematically weighting a bag on a scale to determine if the proper wel ight is being loaded by the weight feeder. If there is signifieant deviation from 25 pounds, corrective adjustments are made to the wet ight-release mechanism.) To verity this expectation, the guantity eontrol staff at ADs randomly sampled the output and prepared the following table. Pive bags sampled and weighted

Explanation / Answer

D)

X=EXi/k

R=ERi/k

UCL=X+A2(R)

LCL=X-A2(R)

F)

Paste the values in excel, go to data analysis tab, click on one-way ANOVA and put the specifications like alpha value, select the range and click on Lables in first row (only if you have labels) and run it. You would have the output.

G)

Cp=USL-LSL/6(R/d2)

CPL=X-LSL/3(R/d2)

CPU=USL-X/3(R/d2)

Cpk=MIN(CPL,CPU)

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