Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Textbook Question
Chapter 20.3, Problem 8E
Consider a variation of the PDC decision tree shown in Figure 20.5. The company must first decide whether to undertake the market research study. If the market research study is conducted, the outcome will either be favourable (F) or unfavourable (U). Assume there are only two decision alternatives d1 and d2 and two states of nature s1 and s2. The payoff table showing profit is as follows:
a. Show the decision tree.
b. Use the following probabilities. What is the optimal decision strategy?
FIGURE 20.5 THE PDC DECISION TREE WITH BRANCH PROBABILITIES
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The following payoff table provides profits based on various possible decision alternatives and various levels of demand.
ALTERNATIVE
DEMAND
LOW
MEDIUM
HIGH
Alternative 1
40
80
150
Alternative 2
80
120
130
Alternative 3
100
100
100
a. Which alternative would a pessimist choose?
b. Which alternative would an optimist choose?
c. Which alternative should be chosen using the Hurwicz decision criterion with α = 0.4?
The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature.
The National Highway Association is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project. Of particular interest is whether the number of bidders increases or decreases the amount of the winning bid.
Bidders
Price
9.0
5.1
9.0
8.0
3.0
9.7
10.0
7.8
5.0
7.7
10.0
5.5
7.0
8.3
11.0
5.5
6.0
10.3
6.0
8.0
4.0
8.8
7.0
9.4
7.0
8.6
7.0
8.1
6.0
7.8
Given:
Correlation of Coefficient: 0.7064 (This is correct)
Coefficient of determination: 49.90% (This is correct)
ŷ = 11.2360 + (-0.4667)x (This is correct)
Create a scatter plot of the data
Complete a regression analysis of the relationship. Slope = ______
Estimate the winning bid if there were seven bidders. Winning bid cost ______ millions.
Compute the 95% prediction interval for a winning bid if there are seven bidders. [ _____________, ______________]
Chapter 20 Solutions
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Ch. 20.2 - Prob. 1ECh. 20.2 - Prob. 2ECh. 20.2 - 3. Hudson Corporation is considering three options...Ch. 20.2 - 4. Myrtle Air Express decided to offer direct...Ch. 20.2 - 5. The distance from Potsdam to larger markets and...Ch. 20.2 - 6. Seneca Hill Winery recently purchased land for...Ch. 20.2 - 7. The Lake Placid Town Council has decided to...Ch. 20.3 - Consider a variation of the PDC decision tree...Ch. 20.3 - 9. A real estate investor has the opportunity to...Ch. 20.3 - Dante Development Corporation is considering...
Ch. 20.3 - 11. Hale’s TV Productions is considering producing...Ch. 20.3 - 12. Martin’s Service Station is considering...Ch. 20.3 - 13. Lawson’s Department Store faces a buying...Ch. 20.4 - Prob. 14ECh. 20.4 - 15. In the following profit payoff table for a...Ch. 20.4 - 16. To save on expenses, Rona and Jerry agreed to...Ch. 20.4 - 17. The Gorman Manufacturing Company must decide...Ch. 20 - Prob. 18SECh. 20 - 19. Warren Lloyd is interested in leasing a new...Ch. 20 - Hemmingway, Inc., is considering a $50 million...Ch. 20 - 21. Embassy Publishing Company received a...Ch. 20 - Case Problem Lawsuit Defense Strategy
John...
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- The National Highway Association is studying the relationship between the number of bidders on a highway project and the winning (lowest) bid for the project. Of particular interest is whether the number of bidders increases or decreases the amount of the winning bid. Bidders Price 9.0 5.1 9.0 8.0 3.0 9.7 10.0 7.8 5.0 7.7 10.0 5.5 7.0 8.3 11.0 5.5 6.0 10.3 6.0 8.0 4.0 8.8 7.0 9.4 7.0 8.6 7.0 8.1 6.0 7.8 GIVEN: correlation coefficient: - 0.7064 Slope: -0.4667 Coefficient of determination: 49.90% regression equation: ŷ= 11.2360 + (-4467)x FIND: Estimate the winning bid if there were seven bidders. Winning bid cost _________ millions. Explain. Compute the 95% prediction interval for a winning bid if there are seven bidders. [ _______________ , _______________ ] (Explain).arrow_forwardWhat is the pure strategy Nash equilibrium outcome if there is one Is this a socially optimal outcome? If not, which outcome is preferredarrow_forwardThe Heinlein and Krampf Brokerage firm has just been instructed by one of its clients to invest $250,000 of her money obtained recently through the sale of land holdings in Ohio. The client has a good deal of trust in the investment house, but she also has her own ideas about the distribution of the funds being invested. In particular, she requests that the firm select whatever stocks and bonds they believe are well rated but within the following guidelines: Municipal bonds should constitute at least 20% of the investment. At least 40% of the funds should be placed in a combination of electronic firms, aerospace firms, and drug manufacturers. No more than 50% of the amount invested in municipal bonds should be placed in a high-risk, high-yield nursing home stock. Subject to these restraints, the client’s goal is to maximize projected return on investments. The analysts at Heinlein and Krampf, aware of these guidelines, prepare a list of high-quality stocks and bonds and their…arrow_forward
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