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 allowablevariation 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 2decimal places.)Capability indexb. Is the process capable? Hint. Use 1.33 as the standard capabality index.O NoⒸ Yes

Given data is Mean = 0.4 Standard deviation(sigma) = 0.003 USL = 0.045 defective LSL = 0.035…

Answered: Problem 10-21 (Algo) A process that…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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)
Three bottling machines at Cocoa Fizz are being evaluated for their capability. a) If specifications are set as 16±0.216±0.2 ounces, determine which machines can produce within specifications. Why? Show the calculations. b) If we evaluate the process of Machine "B" and realize that it has a mean of 15.9, does it change your conclusion about the capability of that "B" bottling machine (? Why? Show the calculations. Bottling machines Standard deviations A 0.05 B 0.1 C 0.2
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?
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.)
Sam’s Long Life 60-watt light bulbs are designed to have a life of 1,350 hours with tolerance of ± 340 hours. A recent representative sample from the process that makes these light bulbs revealed a mean of 1,290 hours, with a standard deviation of 94 hours. Compute a. Compute the process capability ratio and the process capability index, and comment on the overall capability of the process b. Explain to what extent the process for producing Sam’s Long Life 60-watt light bulbs would have to be improved to achieve 4-sigma quality. c. show detail work
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) =…
* 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.
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 0.09. each month, Garcia track 80 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, 14 of the 80 customers in the sample group returned for warranty repairs. Is the repair process in control? The UCL Subscript p equals and the LCL Subscript p equals (Enter your responses rounded to three decimal places.)

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