Kerala PSC Previous Years Question Paper & Answer

Title : RESEARCH OFFICER ECONOMICS AND STATISTICS
Question Code : A

Page:4


Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'RESEARCH OFFICER ECONOMICS AND STATISTICS' And exam conducted in the year 2015. And Question paper code was '160/2015'. 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: 4 out of 12
Excerpt of Question Code: 160/2015

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The arithmetic mean of a set of distinct number is 10. 1 each number is squared, then the
mean of the squares of the number 15
(^^) Greater than 100 (8) Less than 100 (©) 100 (D) ¢ of these

For any two events A and B, P(ANBS) is equal to :
(^) P(A)-P(B) (8) ௫-௫) (ल) (8) -7(^{18) (D) P(A)-P(ANB)

If P(E)=0.9 and P(F)=0.8 then which of the following is true ?
(ക) ۶۴۸۵ <0 (B) PENF) <070
(©) PENF 2 0.80 (ಐ) 0.80 < (ष (1?) < 0.90

If x is an observed value of a random variable X ~ UNIF [0,10] the x divides the interval
[0, 10] into two subintervals. What is the probability that the ratio of lengths of the shorter to

1
longer subinterval is less than o1 ?

(^)

പി

1 P ‏تہ‎
‎= ® 7 (9 (0)
If the standard deviation of a normal distribution is 4 then the fourth central moment of the
distribution is : .

(A) 48 (B) 768 (^) 256 (D) 192

The value of the objective function at an optimal solution of the LPP min X1+, subject to
21 - 32 = -5, 1 > 0, 2 2 0 प्न 0६ ;
(५) 10 (8) -5 (© 5 (೧) 0

If a population has normal distribution with variance 225, then how large a sample must be
drawn in order to be 95 per cent confident that the sample mean will not differ from the
population mean by more than 2 units. (५/2 = 2.025 = 1.96).

(ക) 152 (B) 216 (ಲ) 305 0092

Of 100 people who were given a vaccine, 80 developed immunity to a disease. Then a
98 per cent confidence interval on the true proportion of people developing immunity 15 :
(2५/2 = 2.01 = 2.33).

(ക) (0.763, 0.837) (8) (0.791, 0.809) (9) (0.707, 0.893) (D) None of these

Which of the following statements is true for applying usual Student’s test for testing equality

of means of two independent populations ?

(A) The two populations are independent and normally distributed with equal unknown
variances.

(8) The two populations are independent and normally distributed with known variances,

(ಲ) The two populations are independent and normally distributed with unknown and
unequal variances.

(0) The two independent populations have equal unknown variances but their distributions
need not to normal.

160/2015 6 A

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