Business Statistics and Research Methods MCQs

Question 1

From the following data, calculate coefficient of correlation. X 1 2 3 4 5 Y 10 20 30 40 50

Accepted Answer

0.9

Answer

0.8

Answer

0.6

Answer

10.1

Question 2

The weight of 50 students in pounds are given below

82	95	120	174	179	176	159	91	85	175
88	160	97	133	159	176	151	115	105	172
170	128	112	101	123	117	93	117	99	90
113	119	129	134	178	105	147	107	155	157
98	117	95	135	175	97	160	168	144	175

If the data are arranged in the form of frequency distribution with class interval as 81-100, 101-120, 121-140, 141-160, 161-180, then the frequencies for these five classes will be
Select the correct answer using the options given below

Accepted Answer

6, 9, 12, 12, 11

Answer

6, 9, 10, 11, 14

Answer

12, 11, 6, 9, 11

Answer

None of these

Question 3

In a correlation study the results were: The correlation coefficient will be: ∑xy = 40, N = 100, ∑x 2 = 80, ∑y 2 = 20

Accepted Answer

1

Answer

-1

Answer

0

Answer

0.92

Question 4

Match the items in List-I with items in List-II . List-I List-II a. Level of significance 1. Sample mean is equal to population mean b. Standard deviation of sampling distribution 2. Parameters c. Numerical value that describes the characteristics of the population 3. Type-I error d. Normally-distributed population 4. Standard error

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

Assertion (A) The mean of the sampling distribution of the mean is the same as the population mean. Reason (R) As the sample size increases, samples tends to population.

Accepted Answer

Both are true

Answer

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

Answer

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

Answer

Both are false

Question 6

Consider the following statements. 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 causal 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

Answer

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

Answer

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

Answer

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

Question 7

Mode is a positional average which is used to deal with which type of data? 1. Quantitative data 2. Qualitative data

Accepted Answer

Only 1

Answer

Only 2

Answer

Both 1 and 2

Answer

None of the above

Question 8

Consider the following measures: 1. Correlation coefficient 2. Covariance 3. Coefficient of variation 4. Index number Which of these are unit-free?

Accepted Answer

1, 3 and 4

Answer

1 and 2

Answer

1 and 3

Answer

2 and 4

Question 9

Given below are two statements one labelled as Assertion (A) and the other as Reason (R)-
Assertion (A): Fisher's Ideal Index is geometric mean of Laspeyre's and Pasche's index.
Reason (R): Pasche Index Number adopts base year quantity.
Choose the correct answer from the options given below

Accepted Answer

(A) is true but (R) is false

Answer

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

Answer

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

Answer

(A) is false but (R) is true

82	95	120	174	179	176	159	91	85	175
88	160	97	133	159	176	151	115	105	172
170	128	112	101	123	117	93	117	99	90
113	119	129	134	178	105	147	107	155	157
98	117	95	135	175	97	160	168	144	175

List-I	List-II
a. Level of significance	1. Sample mean is equal to population mean
b. Standard deviation of sampling distribution	2. Parameters
c. Numerical value that describes the characteristics of the population	3. Type-I error
d. Normally-distributed population	4. Standard error

82	95	120	174	179	176	159	91	85	175
88	160	97	133	159	176	151	115	105	172
170	128	112	101	123	117	93	117	99	90
113	119	129	134	178	105	147	107	155	157
98	117	95	135	175	97	160	168	144	175

82	95	120	174	179	176	159	91	85	175
88	160	97	133	159	176	151	115	105	172
170	128	112	101	123	117	93	117	99	90
113	119	129	134	178	105	147	107	155	157
98	117	95	135	175	97	160	168	144	175