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
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- 2. A process screens a certain type of a certain type of potash granule, resulting in a mean diameter of 0.03cm and a standard deviation of 0.003cm. The allowable variation in granule diameter is from 0.02 cm to 0.04 cm. a) Calculate the capability ratio Cp for the process. b) Is the process capable?Problem 10-5 (Algo) Using samples of 196 credit card statements, an auditor found the following:Use Table-A. Sample 1 2 3 4 Number with errors 4 3 6 9 Click here for the Excel Data File a. Determine the fraction defective in each sample. (Round your answers to 4 decimal places.) b. If the true fraction defective for this process is unknown, what is your estimate of it? (Round your answer to 1 decimal place.) c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size? (Round your intermediate calculations and final answers to 4 decimal places.) d. What control limits would give an alpha risk of .03 for this process? (Round your intermediate calculations to 4 decimal places. Round your "z" value to 2 decimal places and other answers to 4 decimal places.) e. What alpha risk would control limits of .0470 and .0092 provide? (Round your intermediate calculations to 4 decimal…Garcia's Garage desires to create some colorful charts and graphs to illustrate how reliably its mechanics "get under the hood and fix the problem." The historic average for the proportion of customers that return for the same repair within the 30-day warranty period is 0.12 Each month, Garcia tracks 70 customers to see whether they return for warranty repairs. The results are plotted as a proportion to report progress toward the goal. If the control limits are to be set at twostandard deviations on either side of the goal, determine the control limits for this chart. In March, 5 of the 70 customers in the sample group returned for warranty repairs. Is the repair process in control? The UCLp equals and the LCLp equals (Enter your responses rounded to three decimal places.)
- Vilfredo Pareto was a famous engineer/economist in the 19th and early 20th centuries. He reportedly expressed this 80/20 Rule: 80% of all progress results from 20% of the actions taken. The Pareto Diagram, also called a Juran Diagram, depicts a variant 80/20 Rule: 80% of all production problems come from 20% of the problem areas. a. What kind of statistical chart is the Pareto Diagram? ____ (enter H for histogram, P for probability distribution, T for a Taguchi chart, A for all three of these. N for none of these. b. The value of the Pareto Diagram is its highlighting the areas causing 80% of quality problems. ____ (enter T for true or F for false)* In Problem 42.4, the design specification on the diameteris 28.0±2.0mm. (a)What proportion of parts fall outside the tolerance limits? (b) If the process were adjusted so that its mean diameter = 28.0 mm and the standard deviation remained the same, what proportion of parts would fall outside the tolerance limits? (c) With the adjusted mean at 28.0 mm, determine the value of the process capability index. Problem 42.4 A plastic extrusion process produces round extrudate with a mean diameter = 28.6 mm. The process is in statistical control and the output is normally distributed with standard deviation = 0.53 mm. Determine the process capability.One of New England Air's top competitive priorities is on-time arrivals. Quality VP Clair Bond decided to personally monitor New England Air's performance. Each week for the past 30 weeks, Bond checked a random sample of 100 flight arrivals for on-time performance. Sample (week) Late Flights Sample (week) Late Flights1 3 16 32 3 17 23 11 18 64 2 19 35 1 20 26 2 21 17 5 22 228 7 23 39 11 24 110 0 25 211 3 26 112 5 27 013 2 28 114 2 29 415 7 30 5 a) The overall fraction of late flights is [ 0.04 ] enter your response here (enter your response as a real number rounded to two decimal places.) Using a 95% confidence level, the upper and lower control limits are: Upper control limit (UCLp)= enter your response here [ ? ] (enter your response as a fraction between 0 and 1, rounded to four decimal places) Lower control limit (LCLp) =…
- One of New England Air's top competitive priorities is on-time arrivals. Quality VP Clair Bond decided to personally monitor New England Air's performance. Each week for the past 30 weeks, Bond checked a random sample of 100 flight arrivals for on-time performance. Sample (week) Late Flights Sample (week) Late Flights1 4 16 32 3 17 23 11 18 104 2 19 25 1 20 16 2 21 17 4 22 208 7…Vera Johnson and Merris Williams manufacture vanishing cream. Their packaging process has four steps: (1) mix, (2) fill, (3) cap, and (4) label. They have had the reported process failures analyzed, which shows the following:Process failure FrequencyLumps of unmixed product 7Over- or underfilled jars 18Jar lids did not seal 6Labels rumpled or missing 29 Total 60 Draw a Pareto chart to identify the vital failures.Garcia's Garage desires to create some colorful charts and graphs to illustrate how reliably its mechanics "get under the hood and fix the problem." The historic average for the proportion of customers that return for the same repair within the 30-day warranty period is 0.08. Each month, Garcia tracks 100 customers to see whether they return for warranty repairs. The results are plotted as a proportion to report progress toward the goal. If the control limits are to be set at two standard deviations on either side of the goal, determine the control limits for this chart. In March, 15 of the 100 customers in the sample group returned for warranty repairs. Is the repair process in control? The UCLp equals____________The LCLp equals_____________ (Enteryour responses rounded to three decimal places.)
- Burger Doodle is a fast-food restaurant that processes anaverage of 680 food orders each day. The average cost of each order is $6.15. Four percent of the orders are incor-rect, and only 10% of the defective orders can be corrected with additional food items at an average cost of $1.75. Theremaining defective orders have to be thrown out.a. Compute the average product cost.b. In order to reduce the number of wrong orders,Burger Doodle is going to invest in a computerizedordering and cash register system. The cost of thesystem will increase the average order cost by $0.05and will reduce defective orders to 1%. What is theannual net cost effect of this quality-improvementinitiative?c. What other indirect effects on quality might be realizedby the new computerized order system?Garcia’s Garage desires to create some colorful charts and graphs to illustrate how reliably its mechanics “get under the hood and fix the problem.” The historic average for the proportion of customers that return for the same repair within the 30-day warranty period is 0.10. Each month,Garcia tracks 100 customers to see whether they return for warranty repairs. The results are plotted as a proportion to report progress toward the goal. If the control limits are to be set at two standard deviations on either side of the goal, determine the control limits for this chart. In March, 8 of the 100 customers in the sample group returned for warranty repairs. Is the repair process in control?Boston Electric Generators has been getting manycomplaints from its major customer, Home Station, about thequality of its shipments of home generators. Daniel Shimshak,the plant manager, is alarmed that a customer is providing himwith the only information the company has on shipment quality.He decides to collect information on defective shipments througha form he has asked his drivers to complete on arrival at customers'stores. The forms for the first 279 shipments have been turnedin. They show the following over the past 8 weeks: Even though Daniel increased his capacity by adding more workersto his normal contingent of 30, he knew that for many weekshe exceeded his regular output of 30 shipments per week. Areview of his turnover over the past 8 weeks shows the following: a) Develop a scatter diagram using total number of shipmentsand…