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Central Limit Theorem Project.docx
I can handle the mean in this project, but otherwise I am completely lost. I understand the concepts but don't know where to begin with the math.
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Central Limit Theorem Project
1.
This problem is designed to help illuminate the idea of the sampling distribution and the Central
Limit Theorem.
Suppose the following table shows the amount of time (in minutes) the women on the volleyball team
spent on Facebook during the last week. Consider the women’s volleyball team our population.
Player
Total
time
(min)
0
108
1
65
2
132
3
210
4
90
5
86
6
158
7
133
8
108
9
178
10
98
11
102
12 13 14
182 128 150
The parameter of interest is the average time spent on Facebook.
a) Find the mean µ for the 15 players in the population. (1 point)
b) Use the random number table in the back of your book to draw a sample of size n = 4. (Tell me
what row you are using.) (10 points total)
c) Find the sample mean 𝑥̅ . (10 points total)
d) Repeat parts b and c nineteen more times. (So that in the end you have 20 samples means.)
e) Make a histogram of the 20 values of 𝑥̅ . (10 points)
f) How close is the center of your histogram close to µ? (2 points)
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Yr 1 $ 20,000
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Yr 3 $ 180,000
Yr 4 $ 220,000
Yr 5 $ 150,000
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Trunk Company looks at another Project B which might potentially be better than Project A.
Project B has the following cash flows:
Yr 1 $ 150,000
Yr 2 $ 220,000
Yr 3 $ 180,000
Yr 4 $ 90,000
Yr 5 $ 20,000
This project also costs $500,000. The required return for this project is 5% compounded
quarterly, same as Project A.
(a) Compute the IRR of Projects A and B, and propose whether to accept or reject each
project, assuming there are unlimited funds. Explain your decision.
(10 marks)
FIN201 Tutor-Marked Assignment
SINGAPORE UNIVERSITY OF SOCIAL SCIENCES (SUSS) Page 4 of 4
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