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- 7. Compare and contrast type I error and type Il error. Give an example.Question 4 The Crunchy Potato Chip Company packages potato chips in a process designed for 12 ounces of chips with upper & lower specification limits of 124 0.14 ounces. The packaging process results in bags with an average weight of 12.07 ounces and a standard deviation of 0.28 ounces. What is the Cp value for this process? Specify a value using three decimals: e.g. X.XXXQuestion 2: The account receivable department of R&W Company has received complaints from manycustomers about incorrect billing, i.e., the bills do not reflect the materials that arrived at their receivingdocks. The department has decided to implement statistical process control in its billing process. Randomsamples of 60 bills each were taken over 8 days and the items on the bills checked against the bill of ladingsent by the company’s shipping department to determine the number of incorrect bills. The observationis given below: Day 1 2 3 4 5 6 7 8 No. of Incorrect Bills 3 13 5 12 9 1 3 2 a. You want to develop appropriate control chart(s) to check whether the process is in control.i. Find the control limitsii. Plot the control chart(s) in excel.b. Is the process in control? Give reason for your answer.
- 56. The construction of the p chart described in this chapter requires specification of both UCL and LCL levels. Is the LCL meaningful in this context? In particular, what does it mean when an observed value of p is less than the LCL? If only the UCL is used to signal an out-of-control condition, should the calculation of the UCL be modified in any way? (Hint: The definition of the Type 1 error probability, a, will be different. The hypothesis test for determining if the process is in control is one-sided rather than two-sided.)"The table below is data on telephone usage time by operators to serve customer requests that will be used to explain the use of Xbar and R-chart". Question: a. Create UCL and LCL with Limit Control Factor A2b. Create UCL and LCL with Limit Control Factor D3 and D4Question 1: A company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. What is the process capability index (Cpk) for the process? Question 2: Consider again that the company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. What is the probability that a tire will either be too wide or too narrow? Question 3: You are working in a small, student-run company that sends out merchandise with university branding to alumni around the world. Every day, you take a sample of 50 shipments that are ready to be shipped to the alumni and inspect them for correctness. Across all days, the average percentage of incorrect…
- Question content area Part 1 Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: Sample Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.) 1 12.202 0.033 7 12.203 0.041 2 12.202 0.041 8 12.205 0.034 3 12.193 0.034 9 12.193 0.027 4 12.206 0.051 10 12.203 0.029 5 12.195 0.031 11 12.203 0.039 6 12.199 0.036 12 12.204 0.047 Part 2 For the given data, the x = enter your response here inches (round your response to four…What is one effective way to calibrate a thermometer? By using the Ice Point method By using the Cooling Point method By using the Scald Point method V By using the Tepld Point method Question 10 of 455-4 Sample data:Mean (Microns) (N=4) Minimum Maximum3.821 3.764 3.9993.946 3.804 4.2514.049 4.039 4.4543.793 3.779 3.9233.635 3.534 4.0684.046 3.578 4.5043.569 2.974 3.9084.084 3.779 5.6673.414 2.806 4.2565.319 5.168 6.3464.096 4.092 4.2234.108 3.957 4.3084.037 3.982 4.3933.789 3.691 3.8534.066 4.023 4.269 Constants: Sample Size N A2 D3 D4 2 1.88 0 3.27 3 1.02 0 2.57 4 0.73 0 2.28 5 0.58 0 2.11 6 0.48 0 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72
- 6. A critical dimension of the service quality of a deposit collection booth is the waiting time of atransaction to get money from the employee. Periodically, random samples of four customer aremeasured for waiting time. The results of the last five samples are in the following table:Sample Time (sec) from Four Customers1 525 510 495 5142 512 520 508 5243 505 458 504 5054 450 495 521 5125 498 510 480 521Required:i. Assuming that the management is willing to use three-sigma control limits and using onlyhistorical information of the standard deviation of the process distribution is 6.85 thatcontained in the five samples, show that the ATM Booth waiting time is in statistical control.ii. Suppose that the standard deviation of the process distribution is 6.85. If the specification forthe waiting time are 510±35sec., is the process capable? Why or why not? Assume Threesigma performance is desired by the management.Northshore hospital surgeon, Bill, wants to build 3-sigma x- bar control limits for the open heart surgery. The target value for the mean of the process (x-bar) is 10 units, and the standard deviation of the process is 8. If samples of size 16 are to be taken, what will be the upper and lower control limits, respectively? Question 33 options: 8 and 12 16 and 4 -8 and 28 18 and 6 16 and 43.6. 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