Exam 20: Decision Making
Exam 1: Defining and Collecting Data204 Questions
Exam 2: Organizing and Visualizing Variables185 Questions
Exam 3: Numerical Descriptive Measures167 Questions
Exam 4: Basic Probability163 Questions
Exam 5: Discrete Probability Distributions216 Questions
Exam 6: The Normal Distribution and Other Continuous Distributions187 Questions
Exam 7: Sampling Distributions129 Questions
Exam 8: Confidence Interval Estimation189 Questions
Exam 9: Fundamentals of Hypothesis Testing: One-Sample Tests185 Questions
Exam 10: Two-Sample Tests212 Questions
Exam 11: Analysis of Variance210 Questions
Exam 12: Chi-Square and Nonparametric Tests175 Questions
Exam 13: Simple Linear Regression210 Questions
Exam 14: Introduction to Multiple Regression256 Questions
Exam 15: Multiple Regression Model Building67 Questions
Exam 16: Time-Series Forecasting168 Questions
Exam 17: Business Analytics113 Questions
Exam 18: A Roadmap for Analyzing Data325 Questions
Exam 19: Statistical Applications in Quality Management158 Questions
Exam 20: Decision Making123 Questions
Exam 21: Getting Started: Important Things to Learn First35 Questions
Exam 22: Binomial Distribution and Normal Approximation230 Questions
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SCENARIO 20-6
A student wanted to find out the optimal strategy to study for a Business Statistics exam with scores out of 100 possible points.He constructed the following payoff table based on the mean amount of time he needed to study every week for the course and the degree of difficulty of the exam.From the information that he gathered from students who had taken the course,he concluded that there was a 40% probability that the exam would be easy.
-Referring to Scenario 20-6,the optimal strategy using the maximin criterion is to study 16 hours per week on average for the exam.

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(True/False)
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Correct Answer:
False
In a local cellular phone area,company A accounts for 60% of the cellular phone market,while company B accounts for the remaining 40% of the market.Of the cellular calls made with company A,1% of the calls will have some sort of interference,while 2% of the cellular calls with company B will have interference.If a cellular call is selected at random and has interference,what is the probability that it was with company A?
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(Multiple Choice)
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Correct Answer:
B
SCENARIO 20-1
The following payoff table shows profits associated with a set of 3 alternatives under 2 possible states of nature.
-Referring to Scenario 20-1,if the probability of S1 is 0.5,then the coefficient of variation for A2 is

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(Multiple Choice)
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Correct Answer:
C
SCENARIO 20-1
The following payoff table shows profits associated with a set of 3 alternatives under 2 possible states of nature.
-Referring to Scenario 20-1,if the probability of S1 is 0.2 and S2 is 0.8,then the expected monetary value of A1 is

(Multiple Choice)
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A medical doctor is involved in a $1 million malpractice suit.He can either settle out of court for $250,000 or go to court.If he goes to court and loses,he must pay $825,000 plus $175,000 in court costs.If he wins in court the plaintiffs pay the court costs.Identify the outcomes of this decision- making problem.
(Multiple Choice)
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SCENARIO 20-1
The following payoff table shows profits associated with a set of 3 alternatives under 2 possible states of nature.
-Referring to Scenario 20-1,what is the best action using the maximax criterion?

(Multiple Choice)
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SCENARIO 20-3
The following information is from 2 investment opportunities.
-Referring to Scenario 20-3,which investment has the optimal coefficient of variation?

(Multiple Choice)
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SCENARIO 20-1
The following payoff table shows profits associated with a set of 3 alternatives under 2 possible states of nature.
-Referring to Scenario 20-1,the opportunity loss for A3 when S2 occurs is

(Multiple Choice)
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SCENARIO 20-5
The following payoff table shows profits associated with a set of 2 alternatives under 3 possible events.
Suppose that the probability of Event 1 is 0.2,Event 2 is 0.5,and Event 3 is 0.3.
-Referring to Scenario 20-5,what is the EVPI for this problem?

(Short Answer)
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In portfolio analysis,the _____ is the reciprocal of the return to risk ratio.
(Short Answer)
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SCENARIO 20-2
The following payoff matrix is given in dollars.
Suppose the probability of Event 1 is 0.5 and Event 2 is 0.5.
-Referring to Scenario 20-2,what is the best action using the maximin criterion?

(Multiple Choice)
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A company that manufactures designer jeans is contemplating whether to increase its advertising budget by $1 million for next year.If the expanded advertising campaign is successful,the company expects sales to increase by $1.6 million next year.If the advertising campaign fails,the company expects sales to increase by only $400,000 next year.If the advertising budget is not increased,the company expects sales to increase by $200,000.Identify the actions in this decision-making problem.
(Multiple Choice)
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SCENARIO 20-6
A student wanted to find out the optimal strategy to study for a Business Statistics exam with scores out of 100 possible points.He constructed the following payoff table based on the mean amount of time he needed to study every week for the course and the degree of difficulty of the exam.From the information that he gathered from students who had taken the course,he concluded that there was a 40% probability that the exam would be easy.
-Referring to Scenario 20-6,what is the return-to-risk ratio of spending 8 hours per week on average studying for the exam?

(Short Answer)
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Blossom's Flowers purchases roses for sale for Valentine's Day.The roses are purchased for $10 a dozen and are sold for $20 a dozen.Any roses not sold on Valentine's Day can be sold for $5 per dozen.The owner will purchase 1 of 3 amounts of roses for Valentine's Day: 100,200,or 400 dozen roses.The opportunity loss for buying 400 dozen roses and selling 200 dozen roses at the full price is
(Multiple Choice)
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For a potential investment of $5,000,a portfolio has an EMV of $1,000 and a standard deviation of $100.The return to risk ratio is
(Multiple Choice)
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Blossom's Flowers purchases roses for sale for Valentine's Day.The roses are purchased for $10 a dozen and are sold for $20 a dozen.Any roses not sold on Valentine's Day can be sold for $5 per dozen.The owner will purchase 1 of 3 amounts of roses for Valentine's Day: 100,200,or 400 dozen roses.Given 0.2,0.4,and 0.4 are the probabilities for the sale of 100,200,or 400 dozen roses,respectively,then the optimal EMV for buying roses is
(Multiple Choice)
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_____ is a procedure for revising probabilities based upon additional information.
(Multiple Choice)
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SCENARIO 20-6
A student wanted to find out the optimal strategy to study for a Business Statistics exam with scores out of 100 possible points.He constructed the following payoff table based on the mean amount of time he needed to study every week for the course and the degree of difficulty of the exam.From the information that he gathered from students who had taken the course,he concluded that there was a 40% probability that the exam would be easy.
-Referring to Scenario 20-6,what is the expected value of perfect information?

(Short Answer)
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To calculate expected profit under certainty,you need to have perfect information about which event will occur.
(True/False)
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