Exam 22: Decision Analysis
Exam 1: What Is Statistics46 Questions
Exam 2: Graphical Descriptive Techniques 194 Questions
Exam 3: Graphical Descriptive Techniques 2156 Questions
Exam 4: Numerical Descriptive Techniques275 Questions
Exam 5: Data Collection and Sampling84 Questions
Exam 6: Probability240 Questions
Exam 7: Random Variables and Discrete Probability Distributions283 Questions
Exam 8: Continuous Probability Distributions224 Questions
Exam 9: Sampling Distributions156 Questions
Exam 10: Introduction to Estimation154 Questions
Exam 11: Introduction to Hypothesis Testing189 Questions
Exam 12: Inference About a Population153 Questions
Exam 13: Inference About Comparing Two Populations170 Questions
Exam 14: Analysis of Variance157 Questions
Exam 15: Chi-Squared Tests179 Questions
Exam 16: Simple Linear Regression and Correlation304 Questions
Exam 17: Multiple Regression160 Questions
Exam 18: Model Building148 Questions
Exam 19: Nonparametric Statistics175 Questions
Exam 20: Time-Series Analytics and Forecasting225 Questions
Exam 21: Statistical Process Control140 Questions
Exam 22: Decision Analysis123 Questions
Exam 23: Conclusion47 Questions
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An opportunity loss is the difference between what the decision maker's profit for an act (alternative)is and what the profit could have been had the best decision been made.
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(True/False)
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Correct Answer:
True
The difference between expected payoff under certainty and expected value of the best act without certainty is the:
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(Multiple Choice)
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Correct Answer:
C
Video Business
A high school student,who started doing videos as a hobby,is considering going into the videography business.The anticipated payoff table is:
The following prior probabilities are assigned to the states of nature: P(poor)= 0.4,P(fair)= 0.4,and P(super)= 0.2.
-{Video Business Narrative} Calculate the expected opportunity loss for each act with present information.What decision should be made using the EOL criterion?

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(Essay)
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Correct Answer:
EOL (Start)= (0.4)(12,000)+ (0.4)(0)+ (0.2)(0)= $4,800 EOL (Don't start)= (0.4)(0)+ (0.4)(10,000)+ (0.2)(15,000)= $7,000 The best decision (the decision with the smallest EOL)is to start the new business.Hence,EOL* = $4,800.
Gross Profits
The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.
-{Gross Profits Narrative} If the probability of s1 is 0.5,then the optimal alternative using EMV is ____________________.

(Short Answer)
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Worker safety laws would be considered a state of nature for a business firm.
(True/False)
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Incorporating an investor's subjective probabilities with a consultant's numerical forecasts requires the use of ____________________ Law.
(Short Answer)
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Gross Profits
The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.
-{Gross Profits Narrative} The opportunity loss for a2 when s1 occurs is________________.

(Short Answer)
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Demolition Company
The payoff table and the prior probabilities for three states of nature for a demolition company are shown below:
Prior Probabilities: P(s1)= 0.4,P(s2)= 0.5,and P(s3)= 0.1.
-{Demolition Company Narrative} Determine the EMV decision.

(Essay)
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Gross Profits
The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.
-{Gross Profits Narrative} If the probability of s1 is 0.2 and s2 is 0.8,then the expected monetary value (EMV)of a1 is ____________________.

(Short Answer)
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Gas Company
A payoff table for an electric company is shown below:
The following prior probabilities are assigned to the states of nature: P(s1)= 0.3,P(s2)= 0.7.
-{Gas Company Narrative} Calculate the expected opportunity loss for each act with present information.What decision should be made using the EOL criterion?

(Essay)
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Gross Profits
The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.
-{Gross Profits Narrative} If the probability of s1 is 0.5,then the expected monetary value (EMV)for a1 is ____________________.

(Short Answer)
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Gross Profits
The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.
-{Gross Profits Narrative} If the probability of s1 is 0.2 and s2 is 0.8,then the expected opportunity loss (EOL)for a1 is ____________________.

(Short Answer)
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Graphic Design Business
A high school student,who started doing graphic designs as a hobby,is considering going into the graphic design business.The anticipated payoff table is:
The following prior probabilities are assigned to the states of nature: P(poor)= 0.4,P(fair)= 0.4,and P(super)= 0.2.
-{Graphic Design Business Narrative} What is the expected value of perfect information? What does it mean?

(Essay)
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Which of the following would not be considered a state of nature for a business firm?
(Multiple Choice)
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Candy Store
A payoff table for a Candy store is shown below.
The following prior probabilities are assigned to the states of nature: P(s1)= 0.2,P(s2)= 0.6,and P(s3)= 0.2.
-{Candy Store Narrative} What is the expected payoff with perfect information?

(Essay)
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The expected value of sample information (EVSI)is the difference between the expected monetary value with additional information (EMV')and the expected monetary value without additional information (EMV*).That is,EVSI = (EMV')− EMV*.
(True/False)
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Container Company
A company must decide whether or not to change its packaging to a more environmentally safe material.The impact of the decision on profits depends on which of the following three possible scenarios develops in the future. Scenario 1: The media does not focus heavily on concerns about packaging and no new laws requiring changes in packaging are passed.Under this scenario,the company will make $35 million if they change their packaging now,but will make $75 million if they do not change their packaging now. Scenario 2: The media does focus heavily on concerns about packaging and no new laws requiring changes in packaging are passed.Under this scenario,the company will make $50 million if they change their packaging now,but will make $55 million if they do not change their packaging now. Scenario 3: The media does focus heavily on concerns about packaging and new laws requiring changes in packaging are passed.Under this scenario,the company will make $60 million if they change their packaging now,but will make only $15 million if they do not change their packaging now. The prior probabilities of the three scenarios are 0.3,0.5,and 0.2,respectively.
-{Container Company Narrative} What decision will be made to maximize expected payoff?
(Essay)
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Maintenance Company
For a maintenance company,a payoff table,the prior probabilities for three states of nature,and the likelihood probabilities are shown below:
Payoff Table:
Prior Probabilities: P(s1)= 0.4,P(s2)= 0.5,and P(s3)= 0.1. Likelihood Probabilities:
-{Maintenance Company Narrative} What is the expected payoff with perfect information?


(Essay)
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Sporting Goods Store
A payoff table for a clothing store is shown below.
The following prior probabilities are assigned to the states of nature: P(s1)= 0.2,P(s2)= 0.6,and P(s3)= 0.2.
-{Sporting Goods Store Narrative} Determine the EOL decision.

(Essay)
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The expected value of perfect information (EVPI)is the difference between the expected payoff with perfect information (EPPI)and the expected monetary value (EMV*).That is,EVPI = EPPI − EMV*.
(True/False)
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