Question 1

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 0.3 ounces and the average mean of the observations is 19.6 ounces, develop 3-sigma control limits for the bottling operation. (Round answers to 2 decimal places, e.g. 15.25.) CL UCL LCLUniversity Hospital has been concerned with the number of errors found in its billing statements to patients. An audit of 100 bills per week over the past 12 weeks revealed the following number of errors: 1 6 2 8 3 5 4 5 5 1 6 4 7 8 8 5 9 7 10 8 11 11 12 4 (b) Develop control charts with z = 3: (if the lower control limit is negative, round the LCL to zero and all other answers to 2 decimal places, e.g. 15.25.) CL UCL LCL Breeze Toothpaste Company has been having a problem with some ofthe tubes of toothpaste leaking. The tubes are packed in containers with 100 tubes each. Ten containers of toothpaste have been sampled. The fol lowing number of toothpaste tubes were found to have leaks: Sample Number of Leaky Tubes Sample Number of Leaky Tubes 1 6 6 16 2 10 7 6 3 11 8 8 4 13 9 5 8 10 9 Total 91 (a) Develop a p-chart with 3-sigma control limits: {if the lower control limit is negative, round the LCL to zero and round all other answer to 3 decimal places, e.g. 15.250.) CL UCL LCL