Kerala PSC Previous Years Question Paper & Answer

Title : LECTURER IN STATISTICS KERALA COLLEGIATE EDUCATION
Question Code : A

Page:7


Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'LECTURER IN STATISTICS KERALA COLLEGIATE EDUCATION' And exam conducted in the year 2014. And Question paper code was '122/2014'. Medium of question paper was in Malayalam or English . Booklet Alphacode was 'A'. Answer keys are given at the bottom, but we suggest you to try answering the questions yourself and compare the key along wih to check your performance. Because we would like you to do and practice by yourself.

page: 7 out of 12
Excerpt of Question Code: 122/2014

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16 201 29 ‏سس‎ , X, be a random sample from N (0, 02) then which of the following is true |
(ಗಿ) XX, is sufficient for 8

(0). ೫೫4 is sufficient for 8

(€) (EX, £Xx7)isjointly sufficient 107 0

(0) (வய கோ ನ? is jointly sufficient for &

For an SPRT with strength (o, B} the boundary points A and B satisfy >
18 B
o

किक டன

(ए) കട s

(12) None of these

Based on a single observation X from a normal population with mean p and variance unity
the UMP critical region of size o for test the hypothesis [17 p 32 against 11, : <2 when
2, is the ‏الى‎ quantile of a standard normal distribution is :

(ಯ) ॐ < 24-2 By Xz 2 (© X
Based का a random sample of size n from B (1, p), the UMVUE of p(1-p) is

മാദ മാറ) உஙக - ण)
~ B പു e
(ಗಿ) 81 8 =1
ര ജമാ) ೩೫ (5೫ - 8)
(ಲಿ) nin-1) (೧) n{n-1)
Let T be an ancilliary statistic for the parameter 9. Then T and S are independent if :
(8) Sis complete sufficient for 0 (B) S is unbiased for &
(೮) Sis sufficient for 8 (D) 515 consistent for 0

If W is the Wilcaxon rank sum statistic and U is the Mann - Whiteny U statistic, then :

ப nin+1) U nin+1)
¡1 = \# + ---- = W ———
வங 1 2 (B) 2

+1
© W=U+ ‏اسر‎ (D) None of these

It X follows Ny (0, ೫) then X'AX follows chi-square distribution with r d.f if and only if :
(வ) AXis of rank 7 (೫) Aisofrankr
(€) AYis idempotend of rank r (D) A is idempotend of rank r

9 122/2014
[ए.1.0.]

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