Business Statistics and Research Methods MCQs

Question 1

Following is the information about the employees in an organisation in various age groups. Compute range and coefficient of range.

Class (Years)	Number of Employees
56-60	7
61-65	16
66-70	39
71-75	28
76-80	10

Accepted Answer

None of these

Answer

22, 1.02

Answer

23, 0.12

Answer

24, 0.1765

Question 2

Sample proportion taken from a population is equal to

Accepted Answer

X/n

Answer

X 2 /n

Answer

n/X

Answer

None of these

Question 3

For calculating posterior probabilities (conditional probabilities under statistical dependence), the following information is available:-
(1) Conditional probabilities
(2) original probability estimates (prior-probabilities) of mutually exclusive and collectively exhaustive events
(3) Arbitrary event with probability ≠ 0 and for which conditional probabilities are also known
(4) Joint probabilities of prior probability and conditional probability
Given the information that the arbitrary event has occurred, arrange the above information in a sequence of their requirement as per Baye's Theorem

Accepted Answer

(2) → (1) → (4) → (3)

Answer

(1) → (2) → (4) → (3)

Answer

(3) → (2) → (1) → (4)

Answer

(3) → (3) → (4) → (1)

Question 4

Mann-Whitney U-test uses which of the following function?

Accepted Answer

U = max(u x , u y )

Answer

U = min(u y , u y )

Answer

U = max(u x , u x )

Answer

U = min(u x , u y )

Question 5

Assertion (A) In regression analysis, the values of the dependent variable are random, but the values of the independent variable are fixed quantities without error and are chosen by the analyst. Reason (R) Regression analysis provides value of the regressed variables (dependent) from the value of the regressor variables (independent variable).

Accepted Answer

Both (A) and (R) are true, but (R) is not the correct explanation of (A)

Answer

Both (A) and (R) are true and (R) is the correct explanation of (A)

Answer

Both (A) and (R) are false

Answer

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

Question 6

From the given table match the following.

Class Interval	350-369	370-389	390-409	410-429	430-449	450-469
Frequency	15	27	31	19	13	6

List-I	List-II
a. Mid-value of class interval 370-389	1. 379.5
b. Σf	2. 111
c. Σfx	3. 44464.5
d. Arithmetic mean	4. 400.58

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

Assertion (A): When there is an evidence of a linear relationship between two variables, it may not always mean an independent-dependent relationship between the two variables. Reason (R): The casual relationship between the two variables may not imply a reasonable theoretical relationship between the two.

Accepted Answer

Both (A) and (R) are true and (R) is the correct explanation of (A)

Answer

Both (A) and (R) are true, but (R) is not the correct explanation of (A)

Answer

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

Answer

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

Question 8

The significance of the difference between two means of the populations, when σ 2 values are known and equal, is tested by

Accepted Answer

x 2 - test

Answer

z - test

Answer

t - test

Answer

f - test

Question 9

For testing of hypothesis H 0 : M 1 = M 2 and H 1 : M 1 < M 2 , the critical value of Z at 5% level of significance when size of sample is more than 30 is

Accepted Answer

1.645

Answer

1.96

Answer

2.32

Answer

2.5758