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- 3. A large beverage company would like to use statistical process control to monitor a new bottlingmachine designed to load liquid into 350-ml bottles. This company knows that the exact amountthe machine places in each bottle can naturally vary by a small amount but does not have any more specific information about the process. The company operated this new machine under careful supervision, confident that the machine was under complete control, for 7 hours. Each hour, a sample of nine bottles was taken off the line and the amount of liquid in each bottle was carefully measured. This is the resulting data: Sample Sample Mean (ml) Sample Range (ml) 350.85 0.6 350.80 0.8 0.5 351.20 351.00 1.0 350.62 0.8 351.12 0.7 0.8 351.50 a. Where should the control limits be placed on a mean chart intended to monitor thismachine in the future, using the same sampling procedure that produced this data? b. Where should the control limits be placed on a range chart intended to monitor thismachine in the…Problem 1: 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 (mm) Range (mm) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 a) What are the UCL x (line on top of x, counldn't find the button to do it) and LCL x (line on top of x) , using 3σ? Plot the data. b) What are the UCL R and LCL R , using 3σ? Plot the data. c) Is the Process in Control? (Please screen shot the EXCEl if its in excel) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Quality Control of Doughnuts: The Hudson Valley Bakery makes doughnuts that are packaged in boxes with labels stating that there are 12 doughnuts weighing a total of 42 oz. If the variation among the doughnuts is too large, some boxes will be underweight (cheating consumers) and others will be overweight (lowering profit). A consumer would not be happy with a doughnut so small that it can be seen only with an electron microscope, nor would a consumer be happy with a doughnut so large that it resembles a tractor tire. The quality-control supervisor has found that he can stay out of trouble if the doughnuts have a mean of 3.50 oz. and a standard deviation of 0.06 oz. or less. Twelve doughnuts are randomly selected from the production line and weighed, with the result given here (in ounces). 3.43 3.37 3.58 3.50 3.68 3.61 3.42 3.52 3.66 3.50 3.36 3.42 Construct a 95% confidence interval for σ, and then determine whether the quality-control…
- 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…Lahey Motors specializes in selling cars to buyers with a poor credit history. Listed is the number of cars that were repossessed from Lahey customers because they did not meet the payment obligations over each of the last 36 months. 9 6 10 3 11 12 9 22 12 4 10 11 3 10 11 15 20 20 7 10 10 9 15 8 12 10 12 16 9 16 13 5 7 10 10 11 a. Find the control limits from the c-bar data for the number repossessed. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) Mean number of defects per unit LCL UCL b. Were there any months when the number was out of control? multiple choice Yes NoAs part of an insurance company’s training program, participants learn how to conduct an analysis of clients’ insurability. The goal is to have participants achieve a time in the range of 30 to 45 minutes. Test results for three participants were the following: Armand, a mean of 36.0 minutes and a standard deviation of 3.0 minutes; Jerry, a mean of 34.0 minutes and a standard deviation of 2.0 minutes; and Melissa, a mean of 37.5 minutes and a standard deviation of 1.7 minutes. a.Compute process capability for the participants and determine whether each is capable. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Melissa ? Cp what is it
- As part of an insurance company’s training program, participants learn how to conduct an analysis of clients’ insurability. The goal is to have participants achieve a time in the range of 30 to 45 minutes. Test results for three participants were the following: Armand, a mean of 36.0 minutes and a standard deviation of 2.0 minutes; Jerry, a mean of 37.0 minutes and a standard deviation of 2.0 minutes; and Melissa, a mean of 37.5 minutes and a standard deviation of 2.6 minutes. a.Compute process capability for the participants and determine whether each is capable, given 4-sigma quality standards. (Do not round intermediate calculations. Round your answers to 2 decimal places.)5-4 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 1.72As part of an insurance company's training program, participants learn how to conduct an analysis of clients' insurability. The goal is to have participants achieve a time in the range of 30 to 45 minutes. Test results for three participants were: Armand, a mean of 38 minutes and a standard deviation of 3 minutes: Jerry, a mean of 37 minutes and a standard deviation of 2.5 minutes: and Melissa, a mean of 37.5 minutes and a standard deviation of 1.8 minutes. Which of the participants would you judge to be capable? Explain. Can the value of the Cp exceed the value of Cp for a given participant? Explain
- 10:27 Bb M QUESTION 2 Consider a one-item survey as follows: Using a scale of 1 – 5 in which 1 = Not as well as I hoped, 2 = Pretty well, 3 = Well, 4 = Very well, and 5 = Crushing it, please indicate how well you are doing so far in your MBA 503 course. 1[] 2[] What type of data does this survey generate? Choose all that apply. 3[] 4[] 5[ ] O Continuous O Ratio Time series O Exponential O Binomial O Interval O Biased O Intersection Union O Hypergeometric O Ordinal O None of the above QUESTION 3 If you have a data set of n items, the data are continuous variables, the data set is unimodal, and the data set is too skewed to use the normal distribution, which probability distribution should you use to calculate probabilities? O Discrete uniform distribution Binomial distribution O Poisson distribution Hypergeometric distribution O Geometric distribution O Uniform continuous distribution O Standard normal distribution O Exponential distribution O Triangular distribution O None of the above…state the effect on planned evidence (increase or decrease) of changing each of 'A DECREASE IN CONTROL RISK' factor, while the other factors remain unchanged.As part of an insurance company’s training program, participants learn how to conduct an analysis of clients’ insurability. The goal is to have participants achieve a time in the range of 30 to 45minutes. Test results for three participants were: Armand, a mean of 38 minutes and a standarddeviation of 3 minutes; Jerry, a mean of 37 minutes and a standard deviation of 2.5 minutes; andMelissa, a mean of 37.5 minutes and a standard deviation of 1.8 minutes.a. Which of the participants would you judge to be capable? Explain.b. Can the value of the Cpk exceed the value of Cp for a given participant? Explain.
