Discussion Question #1 - Using your "own words", discuss the differences among decision making under certainty, decision making under risk, and decision making under uncertainty. Provide an example for each one of them. Discussion Question #2 - Using your "own words", discuss how the coefficient of determination and the coefficient of correlation are related and how would you use them in regression analysis.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Discussion #1 & Discussion #2 please. 

please separated them the last person confused me by combining the questions. They are discussions 

**Problem #4** – The mean number of air conditioning units assembled per month by Freeze, Inc. is 750 and the standard deviation is 100 units.

a. If the number of air conditioning units assembled per month follows a normal distribution, calculate the probability of Freeze, Inc. to assemble a quantity of air conditioning units greater than the monthly break-even point calculated in problem 3-a.

b. An improved assembling process is proposed to Freeze, Inc. to reduce the variable cost from $500 per unit to $400 per unit, increase the mean number of air conditioning units assembled per month from 750 to 850 and reduce the standard deviation to 90 units. As a result of the improvements, monthly fixed costs would go up from $250,000 to $300,000. Once these improvements are implemented, calculate the new number of air conditioning units that Freeze Inc. must sell every month to break-even, discuss and justify if you would recommend the process improvement initiative.

c. If the number of air conditioning units assembled per month still follows a normal distribution after the implementation of the improvements described on item (b), calculate the probability of Freeze, Inc. to assemble a quantity of air conditioning units greater than the new monthly break-even point. Now that you know this probability, would you change your recommendation? Justify.

**Discussion Question #1** – Using your "own words", discuss the differences among decision making under certainty, decision making under risk, and decision making under uncertainty. Provide an example for each one of them.

**Discussion Question #2** – Using your "own words", discuss how the coefficient of determination and the coefficient of correlation are related and how would you use them in regression analysis.
Transcribed Image Text:**Problem #4** – The mean number of air conditioning units assembled per month by Freeze, Inc. is 750 and the standard deviation is 100 units. a. If the number of air conditioning units assembled per month follows a normal distribution, calculate the probability of Freeze, Inc. to assemble a quantity of air conditioning units greater than the monthly break-even point calculated in problem 3-a. b. An improved assembling process is proposed to Freeze, Inc. to reduce the variable cost from $500 per unit to $400 per unit, increase the mean number of air conditioning units assembled per month from 750 to 850 and reduce the standard deviation to 90 units. As a result of the improvements, monthly fixed costs would go up from $250,000 to $300,000. Once these improvements are implemented, calculate the new number of air conditioning units that Freeze Inc. must sell every month to break-even, discuss and justify if you would recommend the process improvement initiative. c. If the number of air conditioning units assembled per month still follows a normal distribution after the implementation of the improvements described on item (b), calculate the probability of Freeze, Inc. to assemble a quantity of air conditioning units greater than the new monthly break-even point. Now that you know this probability, would you change your recommendation? Justify. **Discussion Question #1** – Using your "own words", discuss the differences among decision making under certainty, decision making under risk, and decision making under uncertainty. Provide an example for each one of them. **Discussion Question #2** – Using your "own words", discuss how the coefficient of determination and the coefficient of correlation are related and how would you use them in regression analysis.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman