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A population of size 1120 is divided into 3 strata of sizes 320, 440, 360 having variances 9, 4, 36
respectively. To draw a stratified random sample of size 100, under optimal allocation the sample
sizes to be drawn from the stratas in the order are

A) 16, 10, 74 8) 28, 40, 32 C) 24, 22,54 D) 20, 50, 30

In a Gauss Markov model (४, XB, 621) with rank of X,
S= min (Y — XB)’ (Y - XB) is

nx p equal to p, the distribution of the statistic

A) F distribution with (n — ‏,م‎ p) degrees of freedom
8) F distribution with (p, n - 0) degrees of freedom
C) 02 7 with p degrees of freedom

D) ०2 12 with ‏م - م‎ degrees of freedom

Consider a 8180 with usual parameters ५, 0, r, k, A. LetN = സ്യം x ५ be the incidence matrix, where
2 is the number of times the jt treatment occurs in i” block. Then determinant of ۸۷۸۷ is

۲ 5 k 5
A) tk(r—2)Y 8) ೧-೫-1 ௦) வினு D) eat
Lety,, ‏ولا‎ and ‏ولا‎ be independent random variables with a common variance 02 and expectations given
by ©(\/1) = 01 + 93, 602) = 92 + 93 and 605) = 91 + ‏.و6‎ Then which of the following is true ?
A) 91- 63 is estimable 8) 6, is estimable ©) ‏ہہ‎ + 63 is estimable 0) 63 is estimable

If in an LSD (Latin Square Design) with 7 treatments, a treatment is added, the increase in error
degrees of freedom will be
A) 12 B) 10 ௦) 42 D) 30

A 24 factorial experiment is conducted in blocks of size 22. If each treatment is replicated 2 times,
the number of blocks required will be
A) 12 B) 8 C) 24 D) 16

Correctly match the Census of India 2011 population enumeration series with data using the codes
given below the lists.

i. B-series a. Fertility data
ii. C-series b. Data on Migration
1. D-series c. Age data
iv. F-series d. Data on workers
Codes :
i ii ॥ iv
^) 80 0 ५
B)dc ba
C)bcda
0)0 8 ० 0
Using dual record system, the Sample Registration System (SRS) provides estimates on
A) Mortality, Fertility and Migration B) Mortality and Cause of death
C) Mortality and Fertility D) Mortality, Fertility and Cause of death

The Registration of Births and Deaths Act to make the registration of births, still births and deaths
compulsory was passed in
A) 1972 B) 1969 C) 1960 D) 1946