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2. The accounts receivable department at Rick Wing Manufacturing has been having difficulty getting customers to pay the full amount of their bills. Many customers complain that the bills are not correct and do not reflect the materials that arrived at their receiving dock. The department has decided to implement SPC in its billing process. In order to set up control charts, ten samples of 50 bills each were taken over a month's time and the items on the bills checked against the bill of lading sent by the company's shipping department to determine the number of bills that were not correct. The results were: SAMPLE No. SAMPLE No. 1 2 3 4 5 WN No. OF INCORRECT BILLS 6 5 11 4 0 6 7 8 9 10 No. OF INCORRECT BILLS 5 3 4 7 2 a. Determine the value of p-bar, the mean fraction defective. Then determine the control limits for the p- chart using a 99.73% confidence level (3 standard deviations). Is this process in control? If not, which sample(s) were out of control b. How might you use the TQM tools to determine the source of the billing defects and where you might start your improvement efforts to eliminate the causes? 3. A quality control inspector has taken four samples with five observations each at the Beautiful Shampoo Company, measuring the volume of shampoo per bottle. If the average range for the four samples is 0.4 ounces and the average mean of the observations is 19.8 ounces, develop 3- sigma control limits for the bottling operation