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ADM 2303 Final Examination
Fall 1991
Time: 3 Hours
Professors Nash, Quon, Kuttner
NAME:
STUDENT NUMBER:
PROFESSOR:
Nash
Quon
Kuttner (circle one)
Calculators, rulers and one sheet of notes (A4 or 8.5" * 11") permitted.
Show all your work on the examination sheet. ASSUME you are to explain
answers briefly unless otherwise instructed. Also assume that numeric answers
require units where appropriate.
Place your student card where it can be inspected by the invigilators.
Question
Value
Mark
========
=====
====
1
11
2
10
3
10
4
10
5
18
6
13
7
14
8
14
=====
=====
100
1. The following appeared in a government report on the yield (in pounds per
acre) of an important crop in a certain district from 19811987:
Boxplot: data from
0.000 to
999.000 by steps of
15.0000
81)

*
*
I
+
I

82)

*
*
*
I
+
I

83)

O
*
*
I
+
I

84)

**
I
+
I

85)

*
I
+
I

86)

I
+
I

87)

*
I
+
I

a) (1 mark) Which year was the "best" for the farmers in terms of yield? Justify
your choice BRIEFLY.
b) (1 mark) Which year was the "worst"? Justify your choice BRIEFLY.
c) (1 mark) Which year or years had the least variable yield? Justify your choice(s)
BRIEFLY.
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View Full Documentd) (2 marks) Actuaries want to use a Gaussian (normal) distribution model of
yield in planning a crop insurance scheme. Is this appropriate or not here?
Explain BRIEFLY.
e) (6 marks) Suppose MINITAB had been used to analyze the data used in the
example above. Let columns C1 to C7 have the data for each year with C1 being
data for 1981.
Explain what each of the following MINITAB commands would produce as
output information. WARNING: some may not be correct, and you should
identify these. All the commands and their parameters should be explained
BRIEFLY. Assume there are 18 observations in each column.
i)
SET C10
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
END
PLOT C1 C10
ii)
DESCRIBE C1, C4C7
iii)
STEM_AND_LEAF C4
iv)
PLOT HISTOGRAM C5
2. a) (4 marks) Suppose the crop data in Q1 for 1981 has population mean 695
pounds per acre and standard deviation 275 pounds per acre. What is the
probability the mean yield for 28 similar producers, chosen at random, will fall
below 600 pounds per acre? Make sure you state any assumptions and explain
your work.
b) Give the probability distribution (along with its parameters) which describes
the specified random variable in the following situations. Explain BRIEFLY.
i) (2 marks) A manufacturer knows that the sugar content of the syrup in her
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 Spring '00
 Phansalker

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