December 2015 - Paper 3

16:  
Statement - I : When a null hypothesis gets rejected in statistical hypothesis testing, it is known as II type - error in                              hypothesis testing.
 
Statement - II : When a sample is small sized and parametric value of the standard deviation is not known, z - test is                             the most appropriate test for hypothesis testing.
A.

Both sta tements are correct

B.

Both statements are incorrect

C.

Statement - I is correct while statement - II is incorrect

D.

Statement - I is incorrect while statement - II is correct

 
 

Option: B

Explanation :

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17:   The following are the estimated regression equations for x and y variables:
x=0.85y

y=0.89x

With this information, the value of the coefficient of correlation would be :
A.

0.87

B.

0.86

C.

0.89

D.

0.75

 
 

Option: B

Explanation :

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18:   The power of the statistical hypothesis testing is denoted by :
A.

α(alpha)

B.

β(beta)

C.

1- α

D.

1-β

 
 

Option: D

Explanation :

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19:  
Match the items of List - I and List - II and ind icate the code of correct matching of the items:

20931
A.

(i) (ii) (iii) (iv)

B.

(ii) (iv) (iii) (i)

C.

(iii) (iv) (ii) (i)

D.

(iii) (iv) (i) (ii)

 
 

Option: D

Explanation :

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20:   Assertion (A): A reasonably large sized sample drawn randomly from a given population
contains almost all the characteristics of the population.

Reason (R) : As per the sampling theory, the assertion is based only on the 'Law of Inertia
of Large Numbers'.
A.

Assertion (A) is correct and Reason (R) as per the sampling theory is also fully correct.

B.
Assertion (A) is correct but the Reason (R) as per the sampling theory is not fully correct.
C.

Both Assertion (A) and Reason (R) are incorrect.

D.

Assertion (A) is incorrect but the Reason (R) is sufficient as per the sampling theory.

 
 

Option: B

Explanation :

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of Large Numbers'.'>