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Refer to Table 56.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 156.9 153.2 153.6 155.5 156.6 Range R (mm) 4.0 4.6 4.1 5.2 4.7 a) What is the value of ? = mm (round your response to two decimal places). X Houston North Hospital is trying to improve its image by providing a positive experience for its patients and their relatives. Part of the "image" program involves providing tasty, inviting patient meals that are also healthful . A questionnaire accompanies each meal served, asking the patient, among other things, whether he or she is satisfied or unsatisfied with the meal. A 50-patient sample of the survey results over the past 7 days yielded the following data: Day 1 2 3 4 5 6 7 No. of Unsatisfied Patients 22 22 8 17 10 24 15 Sample Size 50 50 50 50 50 50 50 The control limits to include 99.73% of the random variation in meal satisfaction are: UCL = (enter your response as a number between 0 and 1, rounded to three decimal places). Jamison Kovach Supply Company manufactures paper clips and other office products. Although inexpensive, paper clips have provided the firm with a high margin of profitability. Sample size is 40. Results are given for the last 10 samples. 4 6 7 Sample Defectives 1 4 2 8 3 3 5 12 8 4 9 2 10 12 5 6 5 The type of control chart that is best to monitor this process is An ad agency tracks the complaints, by week received, about the billboards in its city: No. of Complaints Week 1 2 3 4 5 6 wow ( 17 10 This exercise contains only parts a, b, and c. a) The type of control chart that is best to monitor this process is Refer to the table Factors for Computing Control Chart Limits (3 sigma) for this problem. Pet Products, Inc., caters to the growing market for cat supplies, with a full line of products ranging from litter to toys to flea powder. One of its newer products, a tube of fluid that prevents hairballs in long-haired cats, is produced by an automated machine set to fill each tube with 63.5 grams of paste. To keep this filling process under control, four tubes are pulled randomly from the assembly line every 4 hours. After several days, the data shown in the table that follows resulted. O R R 20 Sample 1 2 3 3 4 4 5 6 7 8 9 63.5 63.6 63.7 63.9 63.4 63.0 63.2 63.3 63.7 2.0 1.0 1.7 0.9 1.2 1.6 1.8 1.3 1.6 Sample 10 11 12 13 14 15 16 17 18 x 63.5 63.3 63.2 63.6 63.3 63.4 63.4 63.5 63.6 R 1.3 1.8 1.0 1.8 1.5 1.7 1.4 1.1 1.8 Sample 19 20 21 22 23 24 25 63.8 63.5 63.9 63.2 63.3 64.0 63.4 1.3 1.6 1.0 1.8 1.7 2.0 1.5 Set control limits for this process for the x-chart. UCL = grams (round your response to two decimal places). Daily samples of 100 power drills are removed from the assembly line at Drills by Stergios Fotopoulos and inspected for defects. Over the past 21 days, the following information has been gathered. DAY 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 DEFECTIVES 4 2 9 8 3 4 10 2 8 7 5 4 7 3 5 3 11 8 4 3 2 Develop a 3 standard deviation (99.73% confidence) p-chart and graph the samples. Upper Control Limit (UCL) =(round your response to four decimal places)