For the sample data given below, is the process in statistical control ? (for z=3) 1 2 3 4 5 6 7 8 9 10 11 2 3 Observations Defects/Unit 943563423 Process is in control O None of these There is insufficient data to evaluate the process O Process is not in control
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- QUESTION 1 My Happy Feet Company manufactures athletic shoes. The company wants to establish a p chart to monitor the production process using Z=3.00. The company has taken a sample of 50 shoes every 4 hours for a work week of five days. Since the company runs two 8-hour shifts each day, this will result in 20 samples. The sample results are as follows. Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Number of Defectives 0 1 0 3 2 5 3 2 1 0 4 1 1 2 2 3 4 1 5 2 23.00 Answer these questions: a. Construct a p-chart to monitor this process. b. Plot the p-chart graph. c. indicate if the process was out of control at any timeBriefly explain the purpose of each of these control charts:b. RangeQuestion 22: Xbar and R-charts have been plotted for the pressure in aerosol cans. The center line (CL) equals 60 psi (pounds per square inch) and the upper control limit (UCL) equals 61. The sample size used in the statistical process control of the filling of these cans equals 9 cans. What is the standard deviation of the pressure in individual cans?
- Question 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…Explain how to contruct process control chart and use them to determine whether a process is out of statistical control.Problem 10-21 (Algo) A process that produces computer chips has a mean of .04 defective chips and a standard deviation of .003 chips. The allowable variation is from .032 to .048 defective. a.Compute the capability Index (C) for the process. (Round your Intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Capability index b. Is the process capable? Hint. Use 1.33 as the standard capabality Index. O Yes O No
- Question -2) Completed forms from a particular department of a mortgage company were sampled daily to check the performance quality of that department. One sample of 50 units was collected each day for 20 days, with these results: Determine center line, upper and lower control limit for P chart and determine whether process is under control or not. dete Sample # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Total Sample size 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 Number of defect 4 2 1 0 5 6 5 3 2 1 4 5 6 2 3 0 4 2 1 5 61 P-chart for attribute asked for whether we s when under convol Кного its large in Sloots In formula for X & R mans Sp= want to do the co D 30 # of d LCLE 39 = Standard deviationQuestion 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.Problem 10-21 (Algo) A process that produces computer chips has a mean of .04 defective chips and a standard deviation of .003 chips. The allowable variation is from .035 to .045 defective. a.Compute the capability index (Cp) for the process. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Capability index b. Is the process capable? Hint. Use 1.33 as the standard capabality index. O No Ⓒ Yes
- 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 it important to prove that a process is proven capable before developing statistical control limit ?The time in minutes to replace vehicle wiper blades at a service center was monitored using a mean and a range chart. Six samples of n=20 observations were obtained nd the sample means and ranges were compared. Sample Mean Range 1 3.06 .42 2 3.15 .50 3 3.11 .41 4 3.13 .46 5 3.06 .46 6 3.09 .45 Using the factors in Table 10.3 in your text for 20 observations, determine the upper and lower limits for mean and range charts. Is the process within control limits?