.  Midland is a successful nursery, is considering several expansion projects. All the alternatives promise to produce an acceptable return. Data on four possible projects follow.   Project Expected return Range Standard deviation                 A    12.0% 4.0% 2.9%   B 12.5 5.0 3.2     C 13.0 6.0 3.5     D 12.8 4.5 3.0                     Which project is least risky, judging based on range?   Which project has the lowest standard deviation? Explain why standard deviation an entirely appropriate measure of risk for purposes of this comparison may not be.   Calculate the coefficient of variation for each project. Which project do you think Greengage’s owners should choose? Explain why.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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.  Midland is a successful nursery, is considering several expansion projects. All the alternatives promise to produce an acceptable return. Data on four possible projects follow.

 

Project

Expected return

Range

Standard deviation

 

 

 

 

 

 

 

 

A

   12.0%

4.0%

2.9%

 

B

12.5

5.0

3.2

 

 

C

13.0

6.0

3.5

 

 

D

12.8

4.5

3.0

 

             

 

 

  1. Which project is least risky, judging based on range?

 

  1. Which project has the lowest standard deviation? Explain why standard deviation an entirely appropriate measure of risk for purposes of this comparison may not be.

 

  1. Calculate the coefficient of variation for each project. Which project do you think Greengage’s owners should choose? Explain why.
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