56. The construction of the p chart described in this chapter requires specification ofboth UCL and LCL levels. Is the LCL meaningful in this context? In particular, whatdoes it mean when an observed value of p is less than the LCL? If only the UCL isused to signal an out-of-control condition, should the calculation of the UCL bemodified in any way? (Hint: The definition of the Type 1 error probability, a, will bedifferent. The hypothesis test for determining if the process is in control is one-sidedrather than two-sided.)

Control Limit refers to the line of the process that is drawn on the control chart. The two control…

Answered: 56. The construction of the p chart…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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3.6. One of the stages in the process of making denim cloth at the Southern Mills Company is to spin cotton yarn onto spindles for subse- quent use in the weaving process. Occasionally the yarn breaks during the spinning process, and an operator ties it back together. Some num- ber of breaks is considered normal; however, too many breaks might mean that the yarn is of poor quality. In order to monitor this process, the quality-control manager randomly selects a spinning machine each hour and checks the number of breaks during a 15-minute period. Following is a summary of the observations for the past 20 hours: Number of Number of Sample Breaks Sample Breaks 1 3 11 3 2 12 4 3 4 13 4 1 14 7 5 15 8. 16 7 17 4 18 7. 8 19 8 9. 20 6. 10 Construct a c-chart using 3ơ limits for this process and indicate if the process was out of control at any time. ohoin when orders come into 3. 6
57. A manufacturer of large appliances maintains a p chart for the production of washing machines. The machines may be rejected because of cosmetic or functional defectives. Based on sampling 30 machines each day for 50 consecutive days, the current estimate of p is .0855. a. What are the control limits for a p chart? (Assume 3ơ limits.) b. Suppose that the percentage of defective washing machines increases to 20 per- cent. What is the probability that this shift is detected on the first day after it occurs? c. On average, how many days would be required to detect the shift?
Do control charts assist in monitoring quality as conformance or quality as improvement?
7. An ad agency tracks the complaints, by week received, about the billboards in its city:    Week No. of Complaints 1 3 2 6 3 4 4 12 5 2 6 9 This exercise contains only parts a, b, and c. Part 2 a) The type of control chart that is best to monitor this process is c minus chart ______ . Part 3 b) Using z = 3, the control chart limits for this process are (assume that the historical complaints rate is unknown): UCLc = ________ complaints per week (round your response to two decimal places). The upper control limit is: ________ The lower control limit is: _________ The central limit is ___________
4. Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... 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 Mean x (mm) Range R (mm) 1 156.9 4.4 2 155.2 4.4 3 155.6 4.3 4 153.5 4.8 5 156.6 4.7 Part 2 a) What is the value of x? x= _______ mm (round your response to two decimal places). b) What is the value of Upper R overbarR ? Upper R overbarRequals= _______ mm (round your response to two decimal places). c) What are the UCL Subscript x overbarUCLx and LCL Subscript x overbarLCLx using 3-sigma ? Upper Control Limit (UCL Subscript x overbarUCLx ) = _________ mm (round your response to two…
1. An ad agency tracks the complaints, by week received, about the billboards in its city:    Week No. of Complaints 1 8 2 4 3 11 4 16 5 8 6 9 This exercise contains only parts a, b, and c. a) The type of control chart that is best to monitor this process is c minus chartc−chart . b) Using z = 3, the control chart limits for this process are (assume that the historical complaints rate is unknown): UCLc =?complaints per week (round your response to two decimal places). LCLc =?complaints per week (round your response to two decimal places).
Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed, Webster is placing its customers in a messy situation. Tubes are packaged in large boxes of 135. Several boxes are inspected, and the following numbers of leaking tubes are found: View an example Sample 1 2 3 Get more help. 4 Tubes 7 7 8 5 1 5 6 7 Calculate p-chart three-sigma control limits to assess whether the capping process is in statistical control. The UCL, equals 1 Sample 8 8 9 10 11 12 13 14 Tubes 7 2 4 8 6 9 MacBook Pro 3 Sample 15 16 17 18 19 20 Total Tubes 8 3 3 5 and the LCL equals (Enter your responses rounded to three decimal places. If your answer for LCL, is negative, enter this value as 0.) 3 6 104 Clear all Check answer O
73) please please help me with this question I don't know how to do it A metal fabricator produces connecting rods with an outer dlameter that has a 1 0.05 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.004 inches with a standard deviation of 0.020 inch. Calculate the process capability index for this example. Note: Round your answer to 3 decimal places.
14. A manufacturer of photographic film produces an average of 12,000 rolls of vari- ous types of film each day. An inspector samples 25 from each day's production and tests them for accuracy of color reproduction and overall film quality. During 12.3 Control Charts for Attributes: The p Chart 687 23 consecutive production days, the inspector rejected the following numbers of rolls of film: Day Number Rejected Day Number Rejected 1 2 13 1 2 3 3 14 1 15 16 4 1 3 17 4 18 2 3 7 7 19 8 20 21 22 1 1 2 2 10 11 23 1 12 a. Based on these observations, compute three-sigma limits for a p chart. b. Do any of the points fall outside the control limits? If so, recompute the three-sigma limits after eliminating the out-of-control points. mm
West Battery Corp. has recently been receiving complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. James West, head of the TQM program at West's Austin plant, believes there is no problem because his batteries have had an average life of 60hours, about 10% longer than competitors' models. To raise the lifetime above this level would require a new level of technology not available to West. Nevertheless, he is concerned enough to set up hourly assembly line checks. Previously, after ensuring that the process was running properly, West took samples of 5 9-volt batteries for 25 test to establish the standards for control chart limits. Those 25 tests are shown in the following table: Sample Data Sample Data Hour Sample Taken 1 2 3 4…
Specifications for a part for a 3-D printer state that the part should weigh between 24 and25 ounces. The process that produces the parts has a mean of 24.5 ounces and a standard deviation of .2 ounce. The distribution of output is normal. What percentage of parts will not meet the weight specs? Within what values will 95.44 percent of the sample means of this process fall if samples of n = 16 are taken and the process is in control (random)? Using the control limits from part b, would the following sample means be in control? 24.52, 24.53, 24.44, 24.51, 24.41, 24.39 An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approxi- mately normal with a mean of 1.0 liter and a standard deviation of .01 liter. Output is monitored using means of samples of 25 observations. Determine upper and lower control limits that will include roughly 97 percent of the sample means when the process is in control. Given the following sample means—1.005,…
Suppose you constructed control charts for the time spent by customers in a retail checkout lane, computing UCL, CL, and LCL based upon a large number of historical observations. Using those control limits, you decide to plot the most recent 12 data points as shown below. Given the following range chart, which general conclusion is most appropriate? (link to image here). Range Chart Sample Range 140 120 100 80 60 40 20 0 1 2 3 4 5 6 7 Sample Number 8 The process is capable The process is not capable The process is in control The process is out of control 9 10 11 12

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