C:*(1)(14.14)°
D:-"(1)/(1.414)°
Correct Answer:- Option-A
Question9:-The variance of t-distribution with n degrees of freedom, where n > 2, is
`(3(೧-1))/(೧-4)`
:-')30/00-2(”
‏رسس‎
‎0:-`(೧-1)/(೧-2)`
‎Correct Answer:- Option-C
Question10:-If a random variable X ~ *chi*(2)_n° , by Fisher's approximation, for large values of n, the statistic
“t=sqrt(2x)-sqrt(2n-1)° follows
A:-chi*(2)° -distribution with 2n d.f
B:-Standard normal distribution
C:-t-distribution with 2n d.f
D:-None of these
Correct Answer:- Option-B
Question11:-The Kolmorogov-Smirnov one sample test used for testing
A:-Goodness of fit of a distribution
B:-Median of a population
C:-Variance of a population
D:-None of these
Correct Answer:- Option-A
Question12:-As the coefficient of confidence increases, the length of the confidence interval
A:-Increases
B:-Decreases
C:-Remain unchanged
D:-Both are varying independently
Correct Answer:- Option-A
Question13:-Let T and S be two statistics such that S = ‘phi’ (T) for a measurable ‘phi’. Then
i) If T is complete, then S is complete.
ii) If T is complete and sufficient and ‘phi’ is one-to-one, then S is complete and sufficient.
iii) The results in (a) and (b) still hold if the completeness is replaced by the bounded completeness.
A:-Statement (i) is true, but (ii) and (iii) are false
B:-Statements (i) and (ii) are true but (iii) is false
C:-Statements (i), (ii) and (iii) are false
D:-Statements (i), (ii) and (iii) are true
Correct Answer:- Option-D
Question14:-For two pairs of observations *(x_(1),y_(1))° and *(x_(2),y_(2))° , Pearson's coefficient of correlation will be
A:-0
8:-1 0-1
0/2)"
D:-None of these
Correct Answer:- Option-B

, हि हि 0 0 4 = (7114
Question15:-Let “A_(1),A_(2)° ... be independent events on a probability space (S, B, P) and
*sum_(n=1)*o00° ‘P(A_n)=00, * the value of P(A) will be

A:-0

8:-`00'

61

D:-None of the above

Correct Answer:- Option-C
Question16:-To test A = 2 against the alternative A = 1 for a population having density function
f(x)="Lambdae*(-Lambdax)’ , x'>=" 0, the suggested critical region based on one observation x is x >= 1. Then the
significance level of the test will be

AS e*(-2)°

8:- €^(2)`

യി

D:-None of the above

Correct Answer:- Option-A

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