Exam Details
| Subject | statistics | |
| Paper | paper 2 | |
| Exam / Course | indian forest service | |
| Department | ||
| Organization | union public service commission | |
| Position | ||
| Exam Date | 2016 | |
| City, State | central government, |
Question Paper
Explain Single and Double Sampling Plans for attributes. What are the advantages and
Give any three definitions of Operations Research.
disadvantages of Operations Research Models
1. Describe the problem of replacement of items whose maintenance cost increases with time. (Assume the value of money is constant over time and time is discrete).
Define
LTPD
Consumer's risk
Producer's risk and
OC curve.
What is SPSS Briefly explain its salient features.
Explain Shewhart's control chart for mean and range and give its construction. Also give the criterion for detecting lack of control in this chart.
Explain the procedure for drawing the 5-points A S N curve for the sequential sampling plan.
Obtain system of differential difference equations in ∞/FCFS) queuing model mentioning the underlying assumptions.
What do you mean by sensitivity analysis What are the problems which can be resolved with it With the generalized linear programming problem Maximize Z
Subject to AX b X 0
where X col. X2, ...
b col. b2, ...
C col. c2, ...
O col. ... and
discuss how the changes in the resource vector b can be observed.
Consider a modified form of ''Matching biased coins" game problem. The matching player is paid Rs. 18.00 if the two coins tum both heads and Rs. 11·00 if the coins tum both tail. The non-matching player is paid Rs. 13 ·00 when the two coins do not match. Determine the Payoff matrix, best strategies for each player and the value of the game.
Solve the following LPP by simplex method
Minimize Z x1 3x2 2x3
Subject to 3x1 x2 2x3 7
2x1 4x2 -12
-4x1 3x2 8x3 10
X1,X2,X3 0
5. Explain the concept of Base Shifting and Splicing in Index Numbers. Give one example of each:
5. What are Box-Jenkins models Explain how they are 'useful in forecasting the time series.
Explain Standard Scores and T Scores and give a comparison of these two scores.
Write brief note on Sample Registration System.
Distinguish between Stationary and .Stable populations. Also mention the main assumptions of Stable Population Model.
Explain the Logistic Growth Curve for the Population Growth. Give any two methods of fitting the Logistic Growth Curve.
Complete the following life Table
src='./qimages/7949-6b.jpg'>
7. Prove that Fisher's Index Number lies between Laspeyre's and Paasche's Index
Construct the cost of living Index for the year 2012 (Base 1990= 100) using the following data
src='./qimages/7949-7b.jpg'>
8. Describe briefly the Official Statistical System in· India relating to Population .
8. Explain the following
Auto Correlation function
Portmanteau Tests
Partial Auto Correlation Coefficient
Heteroscedasticity and
Rank and Order conditions of identifiability.
Give any three definitions of Operations Research.
disadvantages of Operations Research Models
1. Describe the problem of replacement of items whose maintenance cost increases with time. (Assume the value of money is constant over time and time is discrete).
Define
LTPD
Consumer's risk
Producer's risk and
OC curve.
What is SPSS Briefly explain its salient features.
Explain Shewhart's control chart for mean and range and give its construction. Also give the criterion for detecting lack of control in this chart.
Explain the procedure for drawing the 5-points A S N curve for the sequential sampling plan.
Obtain system of differential difference equations in ∞/FCFS) queuing model mentioning the underlying assumptions.
What do you mean by sensitivity analysis What are the problems which can be resolved with it With the generalized linear programming problem Maximize Z
Subject to AX b X 0
where X col. X2, ...
b col. b2, ...
C col. c2, ...
O col. ... and
discuss how the changes in the resource vector b can be observed.
Consider a modified form of ''Matching biased coins" game problem. The matching player is paid Rs. 18.00 if the two coins tum both heads and Rs. 11·00 if the coins tum both tail. The non-matching player is paid Rs. 13 ·00 when the two coins do not match. Determine the Payoff matrix, best strategies for each player and the value of the game.
Solve the following LPP by simplex method
Minimize Z x1 3x2 2x3
Subject to 3x1 x2 2x3 7
2x1 4x2 -12
-4x1 3x2 8x3 10
X1,X2,X3 0
5. Explain the concept of Base Shifting and Splicing in Index Numbers. Give one example of each:
5. What are Box-Jenkins models Explain how they are 'useful in forecasting the time series.
Explain Standard Scores and T Scores and give a comparison of these two scores.
Write brief note on Sample Registration System.
Distinguish between Stationary and .Stable populations. Also mention the main assumptions of Stable Population Model.
Explain the Logistic Growth Curve for the Population Growth. Give any two methods of fitting the Logistic Growth Curve.
Complete the following life Table
src='./qimages/7949-6b.jpg'>
7. Prove that Fisher's Index Number lies between Laspeyre's and Paasche's Index
Construct the cost of living Index for the year 2012 (Base 1990= 100) using the following data
src='./qimages/7949-7b.jpg'>
8. Describe briefly the Official Statistical System in· India relating to Population .
8. Explain the following
Auto Correlation function
Portmanteau Tests
Partial Auto Correlation Coefficient
Heteroscedasticity and
Rank and Order conditions of identifiability.