Jim's Outfitters, Inc., makes custom western shirts. The shirts could be flawed in various ways, including flaws in the weave or color of the fabric, loose buttons or decorations, wrong dimensions, and uneven stitches. Jim randomly examined 10 shirts, with the following results shows below. Shirt 1 2 3 4 5 6 7891 10 Defects 10 0 5 10 4 9 1 4 5 4 a. Assuming that 10 oberservation are adequate for these purpose, determine the three-sigma control limits for defects per shirt. (what are the UCLc and LCLc ) o. Suppose that the next shirt has 12 flaws. What can you say abou the process now?
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- In 2020, a manufacturing company instituted a total quality management (TQM) program producingthe comparative report shown below:[LO 17-5]Summary COQ Report(in thousands)2019 2020 % ChangePrevention costs $ 200 $ 300 +50Appraisal costs 210 315 +50Internal failure costs 190 114 −40External failure costs 1,200 621 −48Total COQ $1,800 $1,350 −25On the basis of this report, which one of the following statements is most likely correct?a. An increase in conformance costs resulted in a higher-quality product and, therefore, a decreasein nonconformance costs.b. An increase in inspection costs was solely responsible for the decrease in quality costs.c. Quality costs such as scrap and rework decreased by 48%.d. Quality costs such as returns and repairs under warranty decreased by 40%.e. Nonconformance costs increased by 50% and conformance costs decreased by approximately 47%.Macomb Inc. used Excel to run a least-squares regression analysis on the production cost data resulting in the following output: Regression StatisticsMultiple R 0.9834 R Square 0.9596 Observations 30 Coefficients Standard Error T Stat P-ValueIntercept 174,980 61,580 2.84 0.021 Production units (X) 11.53 0.9265 12.44 0.000 What total cost would Macomb predict for a month in which production is 2,000 units? Multiple Choice $174,900 $63,433 $198,040 $23,037Prove the following using strong induction. Suppose you are gifted a collection of 3n pokéballs; all of the the pokéballs have the same size and weight except for one which is slightly heavier, and otherwiselook and feel exactly the same as the others. You are tasked with identifying theheavy pokéball and have at your disposal a set of balancing scales which can be usedto compare the weights of two collections of pokéballs. The scales can show whetherthe two collections have the same weight, or can show which collection is heavier if theweights are different. Prove using strong induction that you can identify the heavypokéball out of 3n pokéballs using n weighing operations.
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- Rajan wanted a radio from Jacky's. It appears that Rajan is particularly interested in purchasing a Radio from the inexpensive retailer's sales manager for consumer electronics. He tells Jacky, the salesperson at the inexpensive store where he thinks he'll get the best deal, that his old radio died and he wants to listen to his favourite tunes. He wants a replacement radio as quickly as possible. In three and a half weeks, Rajan's favourite model will be 10% off.He suspects Rajan won't wait and will find another job. Jacky will earn less on the lowered price. He thinks that telling Rajan of the sale makes little sense.When Jacky tells Rajan that the radio set he wants is no longer available and won't be for another week, Rajan is enraged. Fearing losing the business, Jacky begs his sales manager, Michelle, to speed up delivery. Michelle says it's impossible and suggests Jacky tell Rajan the store can get the set in 24 hours and sell him the demo model. Michelle says the sample is new…Alcohol Dragster On board most alcohol dragsters is a computer that compiles datainto a number of different categories during each race. The table below shows someof the actual data from a past race.Time inseconds The front wheels, at each end of the front axle, are 22.07 inches in diameter. Derive aformula that will convert rpm’s from a 22.07-inch wheel into miles per hour. Test yourformula on all six rows of the table. Explain any discrepancies between the table valuesand the values obtained from your formula.Please calculate the sensitivity analysis of NPV increase in 10%, 30%, and 50%. NPV (current) natural forest 70141.71 protective forest 123582.50 agroforestry & terracing 263.11 Beekeeping 198275.14 Cookstoves 61490651