Question 1

The expected monetary value decision is always the same as the expected opportunity loss decision.

Accepted Answer

A) True 
 B)False

Question 2

We compute the ____________________ by multiplying the probability of each state of nature by the largest payoff associated with that state of nature,then summing the resulting products.

Accepted Answer

EPPI
expec

Question 3

Gas Company
A payoff table for an electric company is shown below:
 $$\begin{array}{l}
\quad \quad \quad \quad \quad \quad \quad \quad \quad \text { Altrnative}\
\begin{array} { | c | c c c c | } 
\hline \text { State of Nature } & \boldsymbol { a } _ { 1 } & \boldsymbol { a } _ { \mathbf { 7 } } & \boldsymbol { a } _ { \mathbf { 3 } } & \boldsymbol { a } _ { \mathbf { 4 } } \
\hline \boldsymbol { s } _ { 1 } & 7 & 0 & 4 & 6 \
\mathbf { s } _ { \mathbf { 2 } } & 2 & 4 & 3 & 5 \
\hline
\end{array}
\end{array}$$ The following prior probabilities are assigned to the states of nature: P(sS1U1B11S1U1B0)= 0.3,P(sS1U1B12S1U1B0)= 0.7.
-{Gas Company Narrative} Convert the payoff table to an opportunity loss table.

Accepted Answer

\[\begin{array}{l}
\quad \quad \quad \qu

Question 4

Food Market
The following table displays the payoffs (in thousands of dollars)for five different decision alternatives under three possible states of nature for a new food market:
   The prior probabilities of the states of nature are: P(sS1U1B11S1U1B0)= 0.2,P(sS1U1B12S1U1B0)= 0.3,and P(sS1U1B13S1U1B0)= 0.5.
-{Food Market Narrative} Convert the payoff table to an opportunity loss table.

Accepted Answer

@#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM&Altrenative
 @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM&(Decis

Question 5

The procedure for revising probabilities based upon additional information is referred to as:

Accepted Answer

A)  utility theory. 
B)  Bernoulli's theorem. 
C)  central limit theorem. 
D)  Bayes Law. 
A)  utility theory. 
B)  Bernoulli's theorem. 
C)  central limit theorem. 
D)  Bayes Law.

Question 6

In general,the branches of a decision tree represent acts and states of nature.

Accepted Answer

A) True 
 B)False

Question 7

Food Market
The following table displays the payoffs (in thousands of dollars)for five different decision alternatives under three possible states of nature for a new food market:
   The prior probabilities of the states of nature are: P(sS1U1B11S1U1B0)= 0.2,P(sS1U1B12S1U1B0)= 0.3,and P(sS1U1B13S1U1B0)= 0.5.
-{Food Market Narrative} Calculate the expected monetary value for each alternative with present information.What decision should be made using the EMV criterion?

Accepted Answer

EMV (a₁)= (0.2)(100)+ (0.3)(7

Question 8

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:
 $$\begin{array}{l}
\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \text { Altrnative }\
\begin{array} { | c | c c | } 
\hline \text { State of Nature } & \begin{array} { c } 
\text { Start } \
\text { new business }
\end{array} & \begin{array} { c } 
\text { Da Nat Start } \
\text { new busines5 }
\end{array} \
\hline \text { Puar } & - \$ 12,000 & 0 \
\text { Fair } & \$ 10,000 & 0 \
\text { Super } & \$ 15,000 & 0 \
\hline
\end{array}
\end{array}$$ 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?

Accepted Answer

EOL (Start)= (0.4)(12,000)+ (0.4)(0)+ (0

Question 9

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:
 $$\begin{array}{l}
\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \text { Altrnative }\
\begin{array} { | c | c c | } 
\hline \text { State of Nature } & \begin{array} { c } 
\text { Start } \
\text { new business }
\end{array} & \begin{array} { c } 
\text { Da Nat Start } \
\text { new busines5 }
\end{array} \
\hline \text { Puar } & - \$ 12,000 & 0 \
\text { Fair } & \$ 10,000 & 0 \
\text { Super } & \$ 15,000 & 0 \
\hline
\end{array}
\end{array}$$ 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 monetary value for each act with present information.What decision should be made using the EMV criterion?

Accepted Answer

EMV (Start)= (0.4)(-12,000)+ (0.4)(10,00

Question 10

Dishwasher Designs
Three different designs are being considered for a new dishwasher,and profits will depend on the combination of the dishwasher design and market condition.The following payoff table summarizes the decision situation,with amounts in millions of dollars.
  $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $Absrnative
 $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $(Design)
$\begin{array}{c|ccc}
\begin{array}{c}
\text { State of Nature } \
\text { (Market condition) }
\end{array} & a_{1} & a_{2} & a_{3} \
\hline s_{1} & \$ 30 & \$ 20 & \$ 10 \
s_{2} & \$ 19 & \$ 21 & \$ 15 \
s_{3} & \$ 11 & \$ 23 & \$ 45
\end{array}$
 Assume that the following probabilities are assigned to the three market conditions: P(sS1U1B11S1U1B0)= 0.1,P(sS1U1B12S1U1B0)= 0.6,and P(sS1U1B13S1U1B0)= 0.3.
-{Dishwasher Designs Narrative} Calculate the expected opportunity loss for each design with present information.Which design should be selected in order to minimize the firm's expected loss?

Accepted Answer

EOL (a₁)= (0.1)(0)+ (0.6)(2)+ (0.3)(34)=

Question 11

Power Company
A payoff table for a power company is shown below:
 $$\begin{array}{l}
\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \text { Alternativa }\
\begin{array} { | c | c c c c | } 
\hline \text { State of Naturs } & \boldsymbol { a } _ { 1 } & \boldsymbol { a } _ { \mathbf { 7 } } & \boldsymbol { a } _ { \mathbf { 3 } } & \boldsymbol { a } _ { \mathbf { 4 } } \
\hline \boldsymbol { s } _ { 1 } & 7 & 0 & 4 & 6 \
\mathbf { s } _ { \mathbf { 2 } } & 2 & 4 & 3 & 5 \
\hline
\end{array}
\end{array}$$ The following prior probabilities are assigned to the states of nature: P(sS1U1B11S1U1B0)= 0.3,P(sS1U1B12S1U1B0)= 0.7.
-{Power Company Narrative} What is the expected value of perfect information?

Accepted Answer

EVPI = EPPI -EMV<sup

Question 12

Demolition Company
The payoff table and the prior probabilities for three states of nature for a demolition company are shown below:
 $$\begin{array}{l}
\text { Alsrmativa }\
\begin{array} { | c | c c c | } 
\hline \text { State of Nature } & \boldsymbol { a } _ { 1 } & \boldsymbol { a } _ { \mathbf { 2 } } & \boldsymbol { a } _ { \mathbf { 3 } } \
\hline \mathbf { s } _ { 1 } & \mathbf { 8 0 } & 120 & 90 \
\mathbf { s } _ { \mathbf { 2 } } & 60 & 130 & 170 \
\mathbf { s } _ { \mathbf { 3 } } & 200 & 140 & 100 \
\hline
\end{array}
\end{array}$$ Prior Probabilities:
P(sS1U1B11S1U1B0)= 0.4,P(sS1U1B12S1U1B0)= 0.5,and P(sS1U1B13S1U1B0)= 0.1.
-{Demolition Company Narrative} Set up the opportunity loss table.

Accepted Answer

\[\begin{array}{l}
\text { Alsarnativa }

Question 13

Custom Home Designs
Three different designs are being considered for new custom homes,and profits will depend on the combination of the custom home design and market condition.The following payoff table summarizes the decision situation,with amounts in millions of dollars.
 $$\text { Alernative (Design) }$$
$\begin{array}{|c|ccc|}
\hline \begin{array}{c}
\text { State of Nature } \
\text { (Market condition) }
\end{array} & a_{1} & a_{2} & a_{3} \
\hline s_{1} & \$ 30 & \$ 20 & \$ 10 \
s_{2} & \$ 19 & \$ 21 & \$ 15 \
s_{3} & \$ 11 & \$ 23 & \$ 45 \
\hline
\end{array}$ Assume that the following probabilities are assigned to the three market conditions: P(sS1U1B11S1U1B0)= 0.1,P(sS1U1B12S1U1B0)= 0.6,and P(sS1U1B13S1U1B0)= 0.3.
-{Custom Home Designs Narrative} What is the most the firm would be willing to pay for a research study designed to reduce its uncertainty about market conditions?

Accepted Answer

The value we need to determine is the ex

Question 14

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:
 $$\begin{array}{l}
\quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \text { Altrnative }\
\begin{array} { | c | c c | } 
\hline \text { State of Nature } & \begin{array} { c } 
\text { Start } \
\text { new business }
\end{array} & \begin{array} { c } 
\text { Da Nat Start } \
\text { new busines5 }
\end{array} \
\hline \text { Puar } & - \$ 12,000 & 0 \
\text { Fair } & \$ 10,000 & 0 \
\text { Super } & \$ 15,000 & 0 \
\hline
\end{array}
\end{array}$$ 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} Review the decisions made in the previous questions.Is this a coincidence? Explain.

Accepted Answer

We observe that the EMV decisi

Question 15

Which of the following would not be considered a state of nature for a business firm?

Accepted Answer

A)  Federal Reserve regulations 
B)  Food and Drug Administration regulations 
C)  The number of employees to hire 
D)  Minimum wage regulations 
A)  Federal Reserve regulations 
B)  Food and Drug Administration regulations 
C)  The number of employees to hire 
D)  Minimum wage regulations

Question 16

Car Audio Store
For a car audio store,a payoff table,the prior probabilities for two states of nature,and the likelihood probabilities are shown below:
Payoff Table:
 $$\begin{array}{l}
\quad \quad \quad \quad \quad \quad \quad \quad \text { Alternative  }\
\begin{array} { | c | l l l | } 
\hline \text { state of Natura } & \boldsymbol { a } _ { 1 } & \boldsymbol { a } _ { 7 } & \boldsymbol { a } _ { \mathbf { 3 } } \
\hline \mathrm { s } _ { 1 } & 20 & 28 & 33 \
s _ { \mathrm { 2 } } & 32 & 29 & 25 \
\hline
\end{array}
\end{array}$$  
-{Car Audio Store Narrative} Calculate the expected value of sample information.

Accepted Answer

EVSI = EMV' -(EMV<su

Question 17

Dishwasher Designs
Three different designs are being considered for a new dishwasher,and profits will depend on the combination of the dishwasher design and market condition.The following payoff table summarizes the decision situation,with amounts in millions of dollars.
  $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $Absrnative
 $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $(Design)
$\begin{array}{c|ccc}
\begin{array}{c}
\text { State of Nature } \
\text { (Market condition) }
\end{array} & a_{1} & a_{2} & a_{3} \
\hline s_{1} & \$ 30 & \$ 20 & \$ 10 \
s_{2} & \$ 19 & \$ 21 & \$ 15 \
s_{3} & \$ 11 & \$ 23 & \$ 45
\end{array}$
 Assume that the following probabilities are assigned to the three market conditions: P(sS1U1B11S1U1B0)= 0.1,P(sS1U1B12S1U1B0)= 0.6,and P(sS1U1B13S1U1B0)= 0.3.
-{Dishwasher Designs Narrative} Convert the payoff table to an opportunity loss table.

Accepted Answer

@#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM&Absrnative
 @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM&(Design

Question 18

____________________ probabilities are determined before any additional information is acquired.

Accepted Answer

The answer of ____________________ probabilities are determined before any additional...

Question 19

Gross Profits
The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature.
 $$\begin{array} { | c | r c c | } 
\hline \text { States of Nature } & \boldsymbol { a } _ { 1 } & \boldsymbol { a } _ { \mathbf { 7 } } & \boldsymbol { a } _ { \mathbf { 3 } } \
\hline \boldsymbol { s } _ { 1 } & 12 & - 2 & \mathbf { g } \
\boldsymbol { s } _ { \mathbf { 7 } } & 4 & 10 & 5 \
\hline
\end{array}$$
-{Gross Profits Narrative} If the probability of s1 is 0.2,the optimal alternative using EOL is ____________________.

Accepted Answer

Question 20

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*.

Accepted Answer

A) True 
 B)False

The expected monetary value decision is always the same as the expected opportunity loss decision.

We compute the ____________________ by multiplying the probability of each state of nature by the largest payoff associated with that state of nature,then summing the resulting products.

Gas Company A payoff table for an electric company is shown below: Altrnative State of Nature 7 0 4 6 2 4 3 5 The following prior probabilities are assigned to the states of nature: P(s₁)= 0.3,P(s₂)= 0.7. -{Gas Company Narrative} Convert the payoff table to an opportunity loss table.

The procedure for revising probabilities based upon additional information is referred to as:

In general,the branches of a decision tree represent acts and states of nature.

Power Company A payoff table for a power company is shown below: Alternativa State of Naturs 7 0 4 6 2 4 3 5 The following prior probabilities are assigned to the states of nature: P(s₁)= 0.3,P(s₂)= 0.7. -{Power Company Narrative} What is the expected value of perfect information?

Which of the following would not be considered a state of nature for a business firm?

____________________ probabilities are determined before any additional information is acquired.

Gross Profits The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature. States of Nature 12 -2 4 10 5 -{Gross Profits Narrative} If the probability of s₁ is 0.2,the optimal alternative using EOL is ____________________.

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^.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Conclusion

Filters

Exam 22: Decision Analysis

The expected monetary value decision is always the same as the expected opportunity loss decision.

We compute the ____________________ by multiplying the probability of each state of nature by the largest payoff associated with that state of nature,then summing the resulting products.

Gas Company A payoff table for an electric company is shown below: Altrnative State of Nature 7 0 4 6 2 4 3 5 The following prior probabilities are assigned to the states of nature: P(s1)= 0.3,P(s2)= 0.7. -{Gas Company Narrative} Convert the payoff table to an opportunity loss table.

The procedure for revising probabilities based upon additional information is referred to as:

In general,the branches of a decision tree represent acts and states of nature.

Power Company A payoff table for a power company is shown below: Alternativa State of Naturs 7 0 4 6 2 4 3 5 The following prior probabilities are assigned to the states of nature: P(s1)= 0.3,P(s2)= 0.7. -{Power Company Narrative} What is the expected value of perfect information?

Which of the following would not be considered a state of nature for a business firm?

Car Audio Store For a car audio store,a payoff table,the prior probabilities for two states of nature,and the likelihood probabilities are shown below: Payoff Table: Alternative state of Natura 20 28 33 32 29 25 -{Car Audio Store Narrative} Calculate the expected value of sample information.

____________________ probabilities are determined before any additional information is acquired.

Gross Profits The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature. States of Nature 12 -2 4 10 5 -{Gross Profits Narrative} If the probability of s1 is 0.2,the optimal alternative using EOL is ____________________.

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*.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Conclusion

Filters

Gas Company A payoff table for an electric company is shown below: Altrnative State of Nature 7 0 4 6 2 4 3 5 The following prior probabilities are assigned to the states of nature: P(s₁)= 0.3,P(s₂)= 0.7. -{Gas Company Narrative} Convert the payoff table to an opportunity loss table.

Power Company A payoff table for a power company is shown below: Alternativa State of Naturs 7 0 4 6 2 4 3 5 The following prior probabilities are assigned to the states of nature: P(s₁)= 0.3,P(s₂)= 0.7. -{Power Company Narrative} What is the expected value of perfect information?

Gross Profits The following payoff table shows gross profits (in $1000)associated with a set of 3 acts under 2 possible states of nature. States of Nature 12 -2 4 10 5 -{Gross Profits Narrative} If the probability of s₁ is 0.2,the optimal alternative using EOL is ____________________.

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^.