Exam Details
| Subject | sales and strategic marketing (old) | |
| Paper | ||
| Exam / Course | mba | |
| Department | ||
| Organization | solapur university | |
| Position | ||
| Exam Date | November, 2017 | |
| City, State | maharashtra, solapur |
Question Paper
M.Sc. (Semester II) (CBCS) Examination Oct/Nov-2017
Statistics
SAMPLING THEORY
Day Date: Friday, 24-11-2017 Max. Marks: 70
Time: 10:30 AM to 01.00 PM
Instructions: Attempt five questions.
Q. No. and Q. No are compulsory.
Attempt any three from Q. No. to Q. No.
Figures to the right indicate full marks.
Q.1 Choose correct alternative: 05
For simple random sampling with replacement with population size
N=100, number of draws in the sample 250 and sample
mean is based on all element as estimator. The variance of sample
mean is
22.50 23.00
24.50 24.75
In a linear systematic sampling with interval 40 from a population of
1000 units, the probability that a specified unit is included in the sample
is
1
40
25
40
1
35
1
1000
For a given finite population and specified sample size let
respectively denote SRSWR, SRSWOR and stratified sampling (with
proportional allocation) schemes. These can be placed in the
ascending order of variability as
The ratio estimator gives higher precision if
Regression of Y on X is linear and passes through origin.
Regression of Y on X is linear but not passed through origin.
Regression of Y on X is non-linear and passes through origin.
Regression of Y on X is non-linear and does not passes through
origin.
A population consisting of 50 units is divided into two strata such that
30, 30, and 3. If by Neyman allocation 6
then the sample size n will be
12 6
25 30
Page 2 of 2
SLR-MS-647
Fill in the blanks. 05
In Midzuno sampling scheme, the units from second draw are selected
with probabilities.
A random start automatically fixes the subsequent selection of sample
units in sampling method.
Unordered estimators have variance than the ordered estimators.
Finite population correction is
If 20 units are drawn from a population of 200 units then the sampling
fraction is
State the following sentence are True or False: 04
Unordered estimators are most efficient than the corresponding
ordered estimators.
Cluster sampling is less efficient if the clusters are more homogenous.
In stratified sampling, the strata are constructed such that they are
among heterogeneous.
Non-sampling error decreases as the sample size increase.
Q.2 Answer the following: 06
Explain Lahiri's method for PPSWR sampling.
Give advantages of sampling method over census method.
Write short notes on the following: 08
Circular systematic sampling
Ordered estimators
Q.3 In SRSWR, suggest an unbiased estimator of the population mean and
derive its sampling variance.
07
Explain the problem of allocating the sample size in stratified random
sampling. Derive the optimum allocation.
07
Q.4 Define Horvitz-Thompson estimator of population mean and establish its
unbiasedness.
07
Outline regression method estimating a population mean. Assuming
SRSWOR, derive MSE of the estimator
07
Q.5 Explain cluster sampling and clearly specify the advantages of the scheme.
When this method is better than SRSWOR?
07
Discuss the problem of non-sampling errors and methods of dealing with
this problem.
07
Q.6 Define ratio estimator and derive the approximate expression for bias.
Assume SRSWOR scheme.
07
Develop Murthy's unordered estimator for n=2. 07
Q.7 Define Midzuno sampling design. Obtain single and double inclusion
probabilities.
07
Describe the cumulative total method for drawing PPSWR sample. What
are its limitations?
Statistics
SAMPLING THEORY
Day Date: Friday, 24-11-2017 Max. Marks: 70
Time: 10:30 AM to 01.00 PM
Instructions: Attempt five questions.
Q. No. and Q. No are compulsory.
Attempt any three from Q. No. to Q. No.
Figures to the right indicate full marks.
Q.1 Choose correct alternative: 05
For simple random sampling with replacement with population size
N=100, number of draws in the sample 250 and sample
mean is based on all element as estimator. The variance of sample
mean is
22.50 23.00
24.50 24.75
In a linear systematic sampling with interval 40 from a population of
1000 units, the probability that a specified unit is included in the sample
is
1
40
25
40
1
35
1
1000
For a given finite population and specified sample size let
respectively denote SRSWR, SRSWOR and stratified sampling (with
proportional allocation) schemes. These can be placed in the
ascending order of variability as
The ratio estimator gives higher precision if
Regression of Y on X is linear and passes through origin.
Regression of Y on X is linear but not passed through origin.
Regression of Y on X is non-linear and passes through origin.
Regression of Y on X is non-linear and does not passes through
origin.
A population consisting of 50 units is divided into two strata such that
30, 30, and 3. If by Neyman allocation 6
then the sample size n will be
12 6
25 30
Page 2 of 2
SLR-MS-647
Fill in the blanks. 05
In Midzuno sampling scheme, the units from second draw are selected
with probabilities.
A random start automatically fixes the subsequent selection of sample
units in sampling method.
Unordered estimators have variance than the ordered estimators.
Finite population correction is
If 20 units are drawn from a population of 200 units then the sampling
fraction is
State the following sentence are True or False: 04
Unordered estimators are most efficient than the corresponding
ordered estimators.
Cluster sampling is less efficient if the clusters are more homogenous.
In stratified sampling, the strata are constructed such that they are
among heterogeneous.
Non-sampling error decreases as the sample size increase.
Q.2 Answer the following: 06
Explain Lahiri's method for PPSWR sampling.
Give advantages of sampling method over census method.
Write short notes on the following: 08
Circular systematic sampling
Ordered estimators
Q.3 In SRSWR, suggest an unbiased estimator of the population mean and
derive its sampling variance.
07
Explain the problem of allocating the sample size in stratified random
sampling. Derive the optimum allocation.
07
Q.4 Define Horvitz-Thompson estimator of population mean and establish its
unbiasedness.
07
Outline regression method estimating a population mean. Assuming
SRSWOR, derive MSE of the estimator
07
Q.5 Explain cluster sampling and clearly specify the advantages of the scheme.
When this method is better than SRSWOR?
07
Discuss the problem of non-sampling errors and methods of dealing with
this problem.
07
Q.6 Define ratio estimator and derive the approximate expression for bias.
Assume SRSWOR scheme.
07
Develop Murthy's unordered estimator for n=2. 07
Q.7 Define Midzuno sampling design. Obtain single and double inclusion
probabilities.
07
Describe the cumulative total method for drawing PPSWR sample. What
are its limitations?
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