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Question 1(40%) A hospital is using X and R charts to record the time it takes to process patient account information. A sample of six applications is taken each day. The first four weeks (20 days) data give the following values: X = 16 min R = 7 min If the USL = 21 min and LSL = 13 min, calculate the 60, Cp and Cpk. Interpret the indices with justification. (3 x 10% = 30%) Interpret the indices with justifications. (1 X 10% = 10%) Note the following: a. Show detailed calculations for each step b. Round off the calculated values approximately in the final step c. Do not round off during intermediate steps d. Consider at least 4 decimal places during intermediate steps e. For showing the detailed calculations, any short cut, such as the use of EXCEL Sheet or computer-aided formula, is NOT acceptable. However, for making relevant sketches, the use of computer graphic techniques is encouraged. f. The final answer must be correct up to at least two decimal places

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QUESTION 1 (40%) A hospital is using X and R charts to record the time it takes to process patient account information. A sample of six applications is taken each day. The first four weeks (20 days) data give the following values: X = 16 min R = 7 min If the USL = 21 min and LSL = 13 min, calculate the 66, Cp and Cpk. Interpret the indices with justification. (3 x 10% = 30%) Interpret the indices with justifications. (1 X 10% = 10%) Note the following: a. Show detailed calculations for each step b. Round off the calculated values approximately in the final step c. Do not round off during intermediate steps d. Consider at least 4 decimal places during intermediate steps e. For showing the detailed calculations, any short cut, such as the use of EXCEL Sheet or computer-aided formula, is NOT acceptable. However, for making relevant sketches, the use of computer graphic techniques is encouraged. f. The final answer must be correct up to at least two decimal places. QUESTION 1 (40%) A hospital is using X and R charts to record the time it takes to process patient account information. A sample of six applications is taken each day. The first four weeks (20 days) data give the following values: X = 16 min R = 7 min If the USL = 21 min and LSL = 13 min, calculate the 66, Cp and Cpk. Interpret the indices with justification. (3 x 10% = 30%) Interpret the indices with justifications. (1 X 10% = 10%) Note the following: a. Show detailed calculations for each step b. Round off the calculated values approximately in the final step c. Do not round off during intermediate steps d. Consider at least 4 decimal places during intermediate steps e. For showing the detailed calculations, any short cut, such as the use of EXCEL Sheet or computer-aided formula, is NOT acceptable. However, for making relevant sketches, the use of computer graphic techniques is encouraged. f. The final answer must be correct up to at least two decimal places.