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6.3. The data shown in Table 6E.3 are x and R values for24 samples of size n - 5 taken from a process pro-ducing bearings. The measurements are made on theinside diameter of the bearing, with only the lastthree decimals recorded (i.e., 34.5 should be0.50345). </* r £,£?l / £** = 0* S64(a) Set up x and R charts on this process. Does the
process seem to be in statistical control? If nec-essary, revise the trial control limits.
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15.13. Draw the primary and supplementary OC curves fora double-sampling plan with nl — 50, c} — 2, n^ =100, c-2 = 6. If the incoming lots have fraction non-conforming p - 0.05,
a)
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15.2-2. Jean Clark is the manager of the Midtown Saveway GroceryStore. She now needs to replenish her supply of strawberries. Herregular supplier can provide as many cases as she wants. However,because.these strawberries already are very ripe, she will need to sellthem tomorrow and then discard any that remain unsold. Jean esti-mates that she will be able to sell 10, 11, 12, or 13 cases tomorrow.She can purchase the strawberries for $3 per case and sell them for$8 per case. Jean now needs to decide how many cases to purchase.
Jean has checked the store's records on daily sales of straw-berries. On this basis, she estimates that the prior probabilities are0.2,0.4, 0.3, and 0.1 for being able to sell 10, 11, 12, and 13 casesof strawberries tomorrow.
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AlpGirayOzenl 05335499108 | alp@fecturemaniaxom | www.lecturemania.com
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15.4-2. You are given the decision tree to tiled!*** where the num-bers in parentheses are probabilities and the numbers on the farright are payoffs at these terminal points. Analyze this decision treeto obtain the optimal policy.
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3. You have the chance to invest in three mutual funds: utility, aggressivegrowth, and global. The value of your investment will change depending onthe market conditions.There is a 10% chance the market will go down, 50%
s chance it will remain moderate, and 40% chance it will perform well. Thefollowing table provides the percentage change in the investment valueunder the three conditions:
Percent return on investment
Alternative Down market (%) Moderate market (%) Up market (%)
——Utility
Aggressive growth
global
+ 5
-10
+2
+ 7
+ 5
+ 7
+ 8
+ 30
+20
(a) Represent the problem as a decision tree.(b) Which mutual fund should you select?
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lecturemaniasuccess maximizer
5. AFC is about to launch its new Wings 'N Things fast food nationally. The re-search department is convinced that Wings 'N Things will be a great successand wants to introduce it immediately without advertisement in all AFC
outlets. The marketing department sees "things" differently and wants tounleash an intensive advertisement campaign. The advertisement campaignwill cost $100,000 and if successful will produce $950,000 revenue. If thecampaign is unsuccessful (there is a 30% chance it won't be), the revenue isestimated at only $200,000. If no advertisement is used, the revenue is esti-mated at $400,000 with probability .8 if the customers are receptive and$200,000 with probability ,2 if they are not.(a) Draw the associated decision tree.(b) What course of action should AFC follow in launching the new product?
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