Classical

Statistics and methodology - Statistics and Methodology Multiple Choice Questions

41:  

Correlation means

A.

The whole subject of correlation refers to that inter-relation between separate character by which they tend, in some degree at least, to move together.

B.

That between two series or groups of data there exists some caustional connections.

C.

Whenever some definite connections exist between the two or more groups, classes or series to data, there is said to be correlation.

D.

All of the above.

 
 

Option: D

Explanation :


42:  

Match the following

List-I (Items)

(A) Probability

(B) z = (x — μ)/σ

(C) t test

(D) 

List-II (Application)

1. Event

2. Distribution

3. Hypothesis test

4. Normal distribution

A.

(A) (B) (C) (D)

1    2    3    4

B.

(A) (B) (C) (D)

3    1    4    2

C.

(A) (B) (C) (D)

4    1    3    2

D.

(A) (B) (C) (D)

1    4    3    2

 
 

Option: A

Explanation :


43:  

If r12 = 0.86, r13 = 0.65 and r23 = 0.72, prove that r12.3 = 0.743

A.

0.32

B.

0.743

C.

0.31

D.

0.740

 
 

Option: B

Explanation :

Hence the answer is (b).


44:  

In a random sample of 100 people, 40% of them are non-vegetarian. What proportion of the whole population is non-vegetarian?

A.

54.3%

B.

36.9 to 37.9%

C.

30.6%

D.

54.7% to 25.3%

 
 

Option: D

Explanation :

P = 40/100 = 0.4

q = 1 - p

or 0.6 = 1 - 0.4

Standard error = √npq

= √(100 x 0.4 x 0.6)

= √24

= 4.899

3 x 4.899 ± 40 = 54.7

to 25.30% are non-vegetarian,

Hence the answer is (d).

 


45:  

In a sample of 400 books 172 were Economics books. Estimate the population proportion at 95% confidence levels

A.

9% to 12%

B.

12% to 43%

C.

47.86% to 38.14%

D.

43% to 12%

 
 

Option: C

Explanation :

Sample proportion = 172/400 = 0.43

or     p= 0.43

or     q = 1 - p

0.57 = 1 -0.43

σ = √pq/n

= √(0.43 x 0.57)/400 = 0.0248

Population proportion at 95% confidence level

= Sample proportion ± 1.96 σ

= 0.43 ± 1.96 x 0.0248

= 0.43 ± 0.0861

= 0.47861 to 0.38139

or between 47.86 to 38.14%.

Hence the answer is (c).




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