he process capability index (Cp) may mislead if: (I) the process is not stable. (II) the process output is not normally distributed. (III) the process is not centered.
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The process capability index (Cp) may mislead if:
(I) the process is not stable.
(II) the process output is not
(III) the process is not centered.
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- At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.You are a food specialist in a company that specializes inrefrigerated delicacies, and one of your brands requires beingmaintained at a temperature of 5°C. You determine averagewater activity (aw) at this temperature to be 0.2. One day, you are informed that the cooling systems onone of the delivery trucks carrying your company’s productsmalfunctioned while en route to its destination and it would notbe fixed until the next delivery. The driver has informed you thatthe temperature in the delivery bay of the truck is averaging55°C. You estimate a heat of sorption (Q) of 19 kJ/mol. Calculate the water activity of the brand at this elevatedtemperature and comment on it’s integrity. Should the deliverystill push through? Or should the products be recalled anddisposedWebster Chemical’s nominal weight for filling tubes of caulk is 8.00 ounces ± 0.60 ounces. The target process capability ratio is 1.33. The current distribution of the filling process is centered on 8.054 ounces with a standard deviation of 0.192 ounces. Compute the process capability ratios Cp and Cpk to assess whether the filling process is capable and set properly.
- A scatter diagram is useful to determine if a relationship exists between two variables.TrueORFalse1. Statistical process control, hypothesis testing, and control charts Consumers value prompt service when they order takeout or delivered pizza, and pizza restaurants compete for customers by making time promises. Papa John's, for instance, offers a 10-minute takeout guarantee. Domino's advertises a 30-minute delivery time. Suppose that the quality control manager at a nationwide pizza chain defines this production variable: An order is processed on time or late. Every night, a random sample of pizza orders is selected, and data are collected on the production variable for each order in the sample. To detect a change in the number of orders that are late, the quality control manager uses Based on the control chart, the quality control manager decides that the variation in output is due to assignable causes. Consequently, the manager concludes that the production process is ; it is Statistical procedures for process control use a hypothesis-testing framework. The null and alternative…A railway promises to ship freight from Toronto to Vancouver in 9 days, but customers consider any time between 6 and 14 days to be acceptable. Last week an auditor examined a sample of 71 shipments and found their delivery time had a mean of 10.4 days and a standard deviation of 1.5 days. The auditor also found 4 shipments where the customer had been charged too much money. With respect to shipping time, calculate the potential Sigma score for the process.
- Bill Kime's bowling ball factory makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.39 pounds. Each day for 24 days, the average weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows Day 1 2 3 4 5 6 Average (lb) 9.9 9.9 10.1 10.1 99 99 Day 7 8 9 10 11 12 Average (lb) Day Average (b) 13 14 15 16 17 18 10.1 10.0 10.0 10.1 10.1 10.0 9.9 10.1 10.1 10.0 10.1 10.1 Day 19 20 21 22 23 24 Average (lb) 99 10.0 10.1 9.9 10.0 10.0 a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean What are the values of the control limits? Upper Control Limit (UCL)=b (Round your response to two decimal places)Please Answer Quality Management Question A milling machine has an expected life of 10 years from the time it is installed into a production line. Assume the exponential distribution is appropriate. What is the probability that the machine will fail between 5 and 12 years after being installed into the production line? Suppose the three milling machines were designed in parallel into the production line system. What is the probability that the production line system will survive 10 years?Sam's Long Life 75-watt light bulbs are designed to have a life of 1,150 hours with tolerances of +205 hours. The process that makes light bulbs has a mean of 1,040 hours, with a standard deviation of 55 hours. Compute the process capability ratio and the process capability index, and comment on the overall capability of the process. (Round answers to 2 decimal places, e.g. 2.75.) Process capability ratio 1355 Process capability index 945 1.24 .057 shorter lived While Cp = bulbs will be generated. indicates the process саpable, Cpk D indicates that
- 3/ Parallax error comes under which of the following error? a. Aging Error b. Human Error c. Static Error d. Stochastic ErrorMeena Chavan Corp.’s computer chip production process yields DRAM chips with an average life of 1,800hours and s = 100 hours. The tolerance upper and lowerspecification limits are 2,400 hours and 1,600 hours, respectively. Is this process capable of producing DRAM chips tospecification?2. A beverage company would like to use a mean chart to monitor how much liquid beverage it puts into each 500-ml bottle. They know from experience that whenever this process is under control, bottle weight is normally distributed with a mean of 500 ml and a standard deviation of 2 ml. The company plans to measure samples of 30 bottles from the production lineevery hour and record the mean weight of liquid beverage in the bottles. If the company uses z = 3 as its standard for establishing the mean chart, where will the upper and lower control limits be on the chart? (Noteshaper: Scenario #28)