Business Statistics and Research Methods MCQs

Question 1

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

(A) is true and (R) as per the sampling theory is also fully true

Answer

(A) is true, but the (R) as per the sampling theory is not fully true

Answer

Both (A) and (R) are false

Answer

(A) is false, but the (R) is sufficient as per the sampling theory

Question 2

Which one of the following is not a measure of dispersion?

Accepted Answer

Quartile

Answer

Range

Answer

Mean Deviation

Answer

Standard Deviation

Question 3

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 4

If there are 8 possible classes under consideration for a goodness of fit, the number of degrees of freedom will be

Accepted Answer

Cannot be determined from the given information

Answer

8

Answer

7

Answer

6

Question 5

If the correlation coefficientis a positive value, then the slope of the regression line:

Accepted Answer

Must also be positive

Answer

Can be either negative or positive

Answer

Can be zero

Answer

Cannot be zero

Question 6

In an exclusive class

Accepted Answer

The upper class limit are excluded

Answer

Both class limit are included

Answer

Both class limit are excluded

Answer

The lower class limit are excluded

Question 7

The probable error of the coefficient of correlation(r) is calculated by which one of the following formula?

Accepted Answer

$$0.6745\frac{{\left( {1 - {r^2}} \right)}}{{\sqrt n }}$$

Answer

$$0.6745\sqrt {\frac{{1 - {r^2}}}{n}} $$

Answer

$$0.6745\frac{{1 + {r^2}}}{{\sqrt n }}$$

Answer

$$0.6745\frac{{\left( {1 + {r^2}} \right)}}{n}$$

Question 8

If two events A and B are dependent, the conditional probability of A given B, i.e., P (A/B) is calculated as:

Accepted Answer

P(AB) / P(B)

Answer

P(B/A) / P(AB)

Answer

P(B) / P(A)

Answer

P(AB) / P(A)

Question 9

Match List-I with List-II and select the correct answer: List-I List-II a. Coefficient of determination 1. $${\gamma _{xy}}\frac{{{\sigma _x}}}{{{\sigma _y}}}$$ b. Spearman's rank correlation coefficient 2. $$1 - \frac{{6\sum {{d^2}} }}{{n\left( {{n^2} - 1} \right)}}$$ c. Regression coefficient of $$x$$ on $$y$$ variable 3. $$\frac{{\sum {xy} }}{{n\,{\sigma _x}\,{\sigma _y}}}$$ d. Karl Pearson's formula of calculating $$\gamma $$ 4. $${\gamma ^2}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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