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 : Click on Discuss to view users comments. |
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 : Click on Discuss to view users comments. |
If r_{12} = 0.86, r_{13} = 0.65 and r_{23} = 0.72, prove that r_{12.3} = 0.743
A. | 0.32 |
B. | 0.743 |
C. | 0.31 |
D. | 0.740 |
Option: B Explanation :
Hence the answer is (b). Click on Discuss to view users comments. |
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).
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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). Click on Discuss to view users comments. |