M.Sc.(Semester III) (CBCS) Examination Oct/Nov-2017
Statistics
APPLIED STATISTICS
Day Date: Saturday, 25-11-2017 Max. Marks: 70
Time: 02.30 PM to 05.00 PM
Instructions: Attempt five questions.
Q no. 1 Q. no. 2 are compulsory.
Attempt any three questions from Q. no. 3 to Q. no. 7.
Figures to the right indicate full marks.
Use of non-programmable simple calculator is allowed.
Q.1 Choose the correct Answer: 05
The condition for time reversal test to hold good with usual notations
is
P01 P10 1 P10 × P01 0
P01 × P10 1 P01 P10 1
Indicate which of the following is an example of seasonal variation?
Death rate decreased due to advance in science
The sale of air condition machines increase during summer
Recovery in business
Sudden cause by wars
What is the denominator of the General Fertility Rate
All married women
Married women in age group 15-49
All women in age group 15-49
All women
Variability due to is unavoidable.
Chance causes Assignable causes
Both and Neither nor
A border check post stops every passenger van. The procedure
adopted is
Random sampling Stratified sampling
Complete enumeration Systematic sampling
Fill in the blanks: 05
In time series analysis, the period of cyclical variations is always

To study the change in the price level for a group of people
index is prepared.
The value of NRR is always than GRR.
The Census Bureau in India takes a complete population count. At
every years.
The C chart is used to control
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State whether true or false. 04
Laspeyre's price index number is greater than Paasche's price index
number in case of rising prices.
Simple random sampling is appropriate when population is
heterogeneous.
It is always necessary to edit time series data.
The ratio of births to deaths in a year is called vital index.
Q.2 Explain the terms: 06
i. Crude death rate
ii. Crude birth rate
iii. General fertility rate
Write short notes on the following: 08
i. Time reversal and factor reversal tests.
ii. Change and assignable causes of variation.
Q.3 What is cost of living index number? Explain its uses. Describe the
procedure followed in its construction.
07
Construct cost of living index number by using family budget method for
year 1993 with 1990 as base year from the following data.
07
Items Weights
Prince in
1990 1993
Food 35 150 140
Rent 20 75 90
Clothing 10 25 30
Fuel and lighting 15 50 60
Miscellaneous 20 60 80
Q.4 What is time series? Describe in brief its components. Give example of
each component.
07
Calculate yearly centered moving averages from the data given below
plot the graph.
07
Year 1 2 3 4 5 6 7 8 9 10
Values 25 17 35 41 29 18 26 36 40 51
Q.5 Explain the construction of mean and range control charts, giving
formulae for upper and lower limits in both cases when sample means
and sample ranges are given.
07
The following table gives the number of defects observed in 8 woolen
carpets passing as satisfactory. Construct the control chart for number of
defects.
06
Sr. No. of carpet 1 2 3 4 5 6 7 8
No. of defects 2 5 5 6 1 5 1 7
Q.6 Explain the gross reproduction rate and net reproduction rate
Discuss their suitability as measure of fertility.
07
Calculate GRR and NRR from the following table. 07
Age-Group Female population in 1000 Female births Survival rate
15-19 18 540 0.95
20-24 12 600 0.94
25-29 14 700 0.93
30-34 14 560 0.92
35-39 16 480 0.91
40-44 13 442 0.90
45-49 12 300 0.88
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Q.7 Describe a procedure for obtaining a sample of size n from a population
of size N using simple random sampling without replacement (SRSWOR)
method.
07
A daily sample of 30 items was taken over a period of 14 days in order to
establish attribute control limits. If 21 defectives were found, then
compute the upper and lower control limits of the control chart for
proportion of defectives.