31,

32.

33.

34.

36.

‘Which of the following statements 85 not correct ?

(ക) if a sample of size n is drawn from a population of size N in such a way that every
possible sample of size ‘n’ has பிடி வாம chance of being selected, the sample thus
abtained ‏کا‎ a simple random sample

(B) Simple random sample doesn’t attempt to reduce the effect of data variation on the
error of estimation

(C) A stratified random sample is one oblained by separating the population elements into
non-overlapping groups and then selecting a simple random sample from each group

(D) Stratified random sample always produces an estimator with a smaller variance than
that of the corresponding estimator in simple random sampling

With regard to ratio estimation based on the response variable y and subsidiary variable x,

identify the correct statement of the following :

(ക) The use of ratio estimator is mosl effective when the relationship between y and x is
linear through the origin and Var(y) i proportional to x

(8) The correlation p between y and x does not affect the precision of the ratio estimator

{८} Ratio estimators are always unbiased

(D) The ratio estimation is usually superior to regression in estimation if the relationship
between the 1Y s and 1's is a straight line not through the origin

A sociologist wanls [6 estimate the average income per adult male in a certain small city
where no list of resident adult is available. What would be the logical choice of the survey
design in this case ?

(A) Simple random sampling (B) Systematic sampling

(ര) Stratified sampling (D) Cluster sampling

Which of the following statements is not correct 7

(A) Systematic sampling is easier to perform and is less subject to interviewers errors than
simple random sampling

(8) Systematic sampling often provides more information per unit cost than simple random
sampling

(09) When the population size (N) is large and the correlation coefficient (p) between pairs
of elements within the systematic sampling is closer to one, then the systematic sampling
may be better than simple random sampling

(D) A systematic sampling ‏فا‎ preferable when the population of interest is ordered and
population size is large

A national survey of University student opinions is conducted by selecting a simple random
sample of universities from all those in the country and then selecting a simple random
sample of students from each university. What sort of sample survey design is used here ?
(ಗಿ) Stratified random sampling (B) A two - stage cluster sampling

(C) Cluster sampling (D) None of these

In a BIBD, four treatments are arranged in four blocks of three plots each. Each treatment
occurs once and only once in three blocks and any two treatments occur together in A blocks,
Then the value of 16 1

(ಸಿ) 1 (8) 2 © 3 D) 4

7 122/2014
7.௦)