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ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD
(Department of Statistics)
WARNING
1.
2.
PLAGIARISM OR HIRING OF GHOST WRITER(S) FOR SOLVING
THE ASSIGNMENT(S) WILL DEBAR THE STUDENT FROM AWARD
OF DEGREE/CERTIFICATE, IF FOUND AT ANY STAGE.
SUBMITTING ASSIGNMENTS BORROWED OR STOLEN FROM
OTHER(S) AS ONE’S OWN WILL BE PENALIZED AS DEFINED IN
“AIOU PLAGIARISM POLICY”.
Course: Statistics for Management (5412)
Level: Associate Degree in Commerce
Total Marks: 100
Semester: Autumn, 2016
Pass Marks: 50
ASSIGNMENT No. 1
Q.1 a)
b)
i)
Differentiate between Descriptive statistics and Inferential Statistics
with examples.
(10)
ii)
Discuss the types of Data in statistical analysis.
Graph the following data showing the areas in millions of square miles of the
oceans of the world, using a pie-chart:
(10)
Ocean
Area
Q.2 a)
b)
b)
Atlantic
41.2
Indian
28.5
Antarctic
7.6
Arctic
4.8
Differentiate between the following terms with examples:(10)
i)
Arithmetic mean and Median
ii)
Quartiles, Deciles and Percentiles
iii) Combined mean and Weighted mean
The following distribution shows kilowatt-Hours of Electricity used in one
month by 65 residential consumers in a certain locality of Islamabad.
(10)
Calculate the Mean, Mode and P50 of electricity consumption.
Consumptions
No of Consumers
Q.3 a)
Pacific
70.8
9-13
4
14-18
6
15-19
14
20-24
22
25-29
14
30-34
5
Differentiate between absolute measure of dispersion and relative measure of
dispersion with examples.
(10)
A manufacturer of television tubes has two types of tubes A and B. The tubes
have the following mean life times and variances:
(10)
Tube
A
B
Mean
1495
1895
1
Variance
78400
96100
i)
ii)
iii)
iv)
Q.4 a)
b)
Find the Co-efficient of Variation for both types of tubes
Which tube is more consistent and why?
Which tube has greater absolute dispersion?
Which tube has greater relative dispersion?
Discuss Mean deviation (M.D), quartile deviation, standard deviation,
coefficient of M.D and coefficient of variance with example.
(10)
Find median, third quartile, D5 and 45th percentile from the following data: (10)
Marks
Frequency
Q.5 a)
b)
30-39
4
40-49
8
50-59
11
60-69
24
70-79
32
80-89
25
90-99
7
Differentiate between Skewness and Kurtosis along with examples. Also
discuss their uses.
(10)
An exercise physiologist measured the heart rates of 20 people who had been
placed on a long distance running program. A frequency distribution of these
rates is display below:
Rate (X)
f
67
1
68
1
69
3
70
5
72
8
75
2
Compute the sample standard deviation (S.D) and coefficient of variation
(C.V) of the heart rates.
(10)
ASSIGNMENT No. 2
Total Marks: 100
Q.1 a)
b)
Q.2 a)
b)
Pass Marks: 50
Explain the terms: Point Estimate and Interval Estimate, Type-I Error and
Type-II Error, estimate and estimator, test static, power of test.
(10)
A random sample of 20 students was taken in two sections A & B of
“Statistics and Probability” class. The sample from section A had an average
marks of 8 and a standard deviation of 2 in midterm exam. The sample from
section B had an average marks of 12 and a standard deviation of 4 in
midterm exam. Test whether there is significant difference between the mean
marks of sections A & B. Use a 5%level of significance.
(10)
Discuss the general steps for testing of two populations mean. Explain
application of t and Z test with examples.
(10)
It is claimed that a new diet will reduce a person’s weight by 5 Kg on the
average in a period of 3 weeks. The weights of seven women who followed
this diet were recorded before and after a 3-weeks period. Test the
manufacturer claim. Use a 0.05 level of significance. (ii) Also compute 95%
confidence interval for ( 1 – 2 ).
(10)
2
Weight due to old diet
Weight due to new diet
Q.3 a)
b)
Q.4 a)
b)
b)
60.3
54.9
61.7
58.9
69.0
62.3
64.0
59.5
62.6
60.4
56.7
54.4
Discuss testing procedure of equality of two population proportions with
examples.
(10)
In a random sample of 2000 adults from the population of AIOU, 1400 are
found to be smokers. In a random sample of 1,000 adults from UAAR, 700
are smokers. Do the data indicate that the universities are significantly
different with respect to the prevalence of smoking among men?
(10)
Explain: Deterministic Model and Probabilistic Model, Regression and
correlation, independent variable and dependent variable, intercept and slope,
r and r2.
(10)
The following G.P.A.’s for ten students are available. Find the equation of
regression line and interpret the results.
(10)
High school GPA
First year college GPA
Q.5 a)
58.8
60.0
3.0
2.6
2.7
2.4
3.8 2.6
3.9 2.1
3.2 3.4
2.5 3.2
2.8 3.1
2.3 3.2
3.5 3.3
2.8 2.6
What is index numbers? Differentiate b/w simple and composite index
numbers.
(10)
The following table gives the prices and quantities for four commodities
produced by a company. Taking 1980 as base year, compute Laspeyre’s,
Paasche’s and Fisher ideal price index numbers.
(10)
Article
A
B
C
D
Quantities (100kgs)
1980
1985
130
150
110
98
85
105
72
80
3
Prices (Rs.)
1980
1985
50.50
55.00
75.25
80.25
100.50
110.45
58.44
60.25