MAT 540 Week 2 Homework - latest 2015
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Chapter 12
1. A local real estate investor in Orlando is considering three alternative investments: a motel, a restaurant, or a theater. Profits from the motel or restaurant will be affected by the availability of gasoline and the number of tourists; profits from the theater will be relatively stable under any conditions. The following payoff table shows the profit or loss that could result from each investment:
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The director has set up the following payoff table for six of the most popular and successful degree programs at OCC that shows the estimated 5-year gross income ($) from each degree for four future economic conditions:
Economic Conditions
Degree Program Recession Average Good Robust
Graphic design 145,000 175,000 220,000 260,000
Nursing 150,000 180,000 205,000 215,000
Real estate 115,000 165,000 220,000 320,000
Medical technology 130,000 180,000 210,000 280,000
Culinary technology 115,000 145,000 235,000 305,000
Computer information 125,000 150,000 190,000 250,000
technology
Determine the best degree program in terms of projected income, using the following decision criteria:
a. Maximax
b. Maximin
c. Equal likelihood
MAT540 Homework
Week 2 Page 3 of 3
d. Hurwicz (α = 0.50)
5. Construct a decision tree for the following decision situation and indicate the best decision.
Fenton and Farrah Friendly, husband-and-wife
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Question 27: The fact that processes tend to be dynamic, rather than static, is a key principle of statistical thinking. Which of the following is a natural consequence of this fact?
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Select one (1) company or organization which utilized hypothesis test technique for its business process (e.g., whether or not providing flexible work hours improve employee productivity.) Give your opinion as to whether or not the utilization of such a technique improved business process for the selected company or organization. Justify your response.
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