ADM 2303 D
STATISTICS FOR MANAGEMENT I
April 30, 1992
Length: 14 pages
Professor: T. Quon
Time:
3 hours
Student Name (please print):_____________________________________________
Signature:___________________________________________
Student Number:
Instructions:
1.
You are permitted one sheet of notes and a calculator.
2.
Please read carefully.
Solutions should be brief but complete.
Remember
to indicate units where appropriate.
3.
Statistical tables are provided separately.
4.
The value of each part of the exam is indicated in square brackets.
Question
Value
Mark
1
4
2
8
3
9
4
10
5
10
6
18
7
14
8
13
9
14
Total
100
1.[4] Domestic users of electrical power in OttawaCarleton consume an
average of 30 kwh per day with a standard deviation of 15 kwh per day.
Suppose a random sample of 50 households is taken.
What is the
probability that that observed mean usage is more than 35 kwh per day?
(Make sure you state any assumptions and explain your work.)
Assumption(s):
2.
Identify the most likely probability distribution (along with its
parameters) which describes the specified random variable in the following
situations.
Explain BRIEFLY.
[2]
(a)
A tollfree telephone number is called on average 4 times per
minute during business hours.
What is the distribution of the
number of calls in a fiveminute period?
[3]
(b)
A natural food preserver knows that the sugar content of the syrup
in her peaches has a mean of 20g per 100ml and a standard
deviation of 1g per 100 ml.
What is the distribution of the mean
sugar content of a sample of 35 jars chosen at random?
[3]
(c)
Hockey Night in Canada in the past has attracted 20% of the
national viewership for a Stanley Cup playoff series.
If a random
sample of 20 households is surveyed, what is the distribution of
the number who watch this program?
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Consider the following boxplots of crop yields (in pounds per acre) for
farms in a prairie district from 19811987:
Boxplot: data from
0.000 to
999.000 by steps of
15.0000
81)

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82)

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83)

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84)

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85)

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86)

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87)

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[2]
(a)
Which year was the "worst"? Justify your choice BRIEFLY.
[2]
(b)
Which year was the "best" for the farmers in terms of yield? Justify
your choice BRIEFLY.
[2]
(c)
Which year or years had the most variable yield? Justify your
choice(s) BRIEFLY.
[3]
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 Spring '00
 Phansalker
 Normal Distribution, Standard Deviation, Probability theory, VCR

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