Business Statistics and Research Methods MCQs

Question 1

Which two of the following statements are true?
(1) The sum of the deviations from mean (ignoring algebraic signs) is greater than the sum of the deviations from median (ignoring algebraic signs)
(2) Standard deviation is independent of change of origin and change of scale
(3) In a symmetrical distribution, mean deviation equals 4/5 of standard deviation
(4) In a symmetrical and bell shaped distribution, quartile deviation is 1/3 of standard deviation
Choose the correct answer from the options given below

Accepted Answer

1 and 3

Answer

2 and 4

Answer

3 and 4

Answer

1 and 2

Question 2

Mention the correct answers: The ranks according to two attributes in a sample are given below: R 1 1 2 3 4 5 R 2 5 4 3 2 1 The rank correlation between them is

Accepted Answer

-1

Answer

0

Answer

1

Answer

None of these

Question 3

Read the following statements and choose the correct answer:
Statement-I: Non-parametric tests are based on some assumptions about the parent population from which the sample has been drawn.
Statement-II: The standard deviation of the sampling distribution of mean is called standard error of mean.

Accepted Answer

Statement-I is false while Statement-II is true

Answer

Both statements are true

Answer

Both statements are false

Answer

Statement-I is true while Statement-II is false

Question 4

The mean and standard deviation of 10 observations are 35 and 2 respectively.

List-I	List-II
a. Changed mean if each observation is increased by 4	1. 39
b. Standard deviation if each observation is increased by 4	2. 2
c. Changed mean if each observation is multiplied by 5	3. 175
d. Changed standard deviation if each observation is multiplied by 5	4. 10

Accepted Answer

a-1, b-2, c-3, d-4

Answer

a-2, b-1, c-3, d-4

Answer

a-3, b-2, c-4, d-1

Answer

a-4, b-3, c-2, d-1

Question 5

The circular test is satisfied when-

Accepted Answer

P 12 × P 23 × P 31 = 1

Answer

P 12 × P 32 × P 31 = 1

Answer

P 12 × P 23 × P 13 = 1

Question 6

Arrange the following steps in sequence for calculation of test of significance for large sample.
1. State the null hypothesis.
2. Compute the statistic.
3. Determine the level of significance.
4. Compute the critical value by testing the value of 'Z'.
5. Compare the value of test statistic 2 with the critical value to arrive at a decision.

Accepted Answer

1, 2 and 3

Answer

2, 3 and 1

Answer

1, 3 and 2

Answer

3, 2 and 1

Question 7

Assertion (A) Median is simply the middle value when the data have been arranged in ascending or descending order. Reason (R) Median refers to middle value in the distribution.

Accepted Answer

Both (A) and (R) are true

Answer

(A) is true, but (R) is false

Answer

(A) is false, but (R) is true

Answer

Both (A) and (R) are false

Question 8

Arrange the following steps in sequence for calculation of test of significance for large sample.
1. State the null hypothesis.
2. Compute the statistic.
3. Determine the level of significance.
4. Compute the critical value by testing the value of 'Z'.
5. Compare the value of test statistic 2 with the critical value to arrive at a decision.

Accepted Answer

1, 2, 3, 4, 5

Answer

2, 3, 4, 5, 1

Answer

1, 3, 2, 4, 5

Answer

5, 4, 3, 2, 1

Question 9

Consider the following statements. 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'.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

R₁	1	2	3	4	5
R₂	5	4	3	2	1