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. Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
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 Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here:
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 Answer Report Discuss Option: B Explanation : Hence the answer is (b). Click on Discuss to view users comments. Write your comments here:
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% Answer Report Discuss 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).   Click on Discuss to view users comments. Write your comments here:
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% Answer Report Discuss 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). Click on Discuss to view users comments. Write your comments here:

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