Statistics and methodology - Statistics and Methodology Multiple Choice Questions

101:  

Given

Σdxdy = 2350, Σd2x = 8250, Σd2y = 724, then r will be

A.

+ 0.92

B.

+0.96

C.

+0.36

D.

+0.76

 
 

Option: B

Explanation :

Hence the answer is (b)

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102:  

A random sample of 15 pairs of values of X and Y from a normal population gives a correlation coefficient of + 0.6. Is the correlation in the population significant?

A.

r is significant with -1

B.

r is significant with +1

C.

r is significant

D.

r is not significant

 
 

Option: C

Explanation :

N = 15, r = 0.6

Z = 1.1513 log 1 + r/1 - r

= 1.1513 log 1 + 0.6/1 - 0.6

= 1.1513 log 4

= 1.1513 x 0.6021

= 0.6932

S.E.2 = 1/√(N - 3) = 1√(15 - 3)

= 1√12 = 1/3.464 = 0.29

Z/(S.E.)2 = 0.6932/0.29 =2.39 > 1.96

Hence 'r' is significant at 5% level of significance.

The answer is (c).

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103:  

What is the chance of drawing a queen in a draw from a pack of 52 cards?

A.

1/9

B.

1/13

C.

1/14

D.

1/12

 
 

Option: B

Explanation :

Total number of cases that can happen

= 52

No. of favourable cases = No. of queens in a pack

or        52= 4

The probability (P) will be -

P = 4/52 = 13

Hence the answer is (b).

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104:  

A company makes electric toys. The probability that an electric toy is defective is 0.01. What is the probability that a shipment of 300 toys will contain exactly 5 defectives?

A.

0.1

B.

3.4

C.

0.2

D.

0.36

 
 

Option: A

Explanation :

Hence the answer is (a).

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105:  

If the stock level ≤ then recorder level, then draw a purchase order of the quantity equal to the

A.

EOQ

B.

CPM

C.

PERT

D.

BEP

 
 

Option: A

Explanation :

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