Business Statistics and Research Methods MCQ Questions and Solutions with Explanations

Business Statistics and Research Methods MCQ Questions and Solutions with Explanations | Commerce

Business Statistics and Research Methods MCQ Questions and answers with easy and logical explanations. Commerce provides you all type of quantitative and competitive aptitude mcq questions with easy and logical explanations. Business Statistics and Research Methods MCQ is important for exams like B.COM, M.COM, BBA, BBM, CA, CS, CMA, CPA, CFA, UPSC, NET, Banking and other commerce department exam. Page-9 section-1

If b_xy = 0.25 and b_yx = 0.64 correlation coefficient is

A) 0.16 B) 0.40 C) 0.89 D) 0.30

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Answer & Solution

Answer: Option B

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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'.

A) (A) is true and (R) as per the sampling theory is also fully true B) (A) is true, but the (R) as per the sampling theory is not fully true C) Both (A) and (R) are false D) (A) is false, but the (R) is sufficient as per the sampling theory

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Answer & Solution

Answer: Option A

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

A) Quartile B) Range C) Mean Deviation D) Standard Deviation

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Answer & Solution

Answer: Option A

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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.

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

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Answer & Solution

Answer: Option A

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

A) 8 B) 7 C) 6 D) Cannot be determined from the given information

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Answer & Solution

Answer: Option D

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

A) Must also be positive B) Can be either negative or positive C) Can be zero D) Cannot be zero

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Answer & Solution

Answer: Option A

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In an exclusive class

A) Both class limit are included B) Both class limit are excluded C) The lower class limit are excluded D) The upper class limit are excluded

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Answer & Solution

Answer: Option D

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

A) $$0.6745\sqrt {\frac{{1 - {r^2}}}{n}} $$ B) $$0.6745\frac{{\left( {1 - {r^2}} \right)}}{{\sqrt n }}$$ C) $$0.6745\frac{{1 + {r^2}}}{{\sqrt n }}$$ D) $$0.6745\frac{{\left( {1 + {r^2}} \right)}}{n}$$

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Answer & Solution

Answer: Option B

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

A) P(B/A) / P(AB) B) P(B) / P(A) C) P(AB) / P(A) D) P(AB) / P(B)

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Answer & Solution

Answer: Option D

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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. $${\gamma ^2}$$

A) a-1, b-2, c-3, d-4 B) a-1, b-4, c-2, d-3 C) a-4, b-3, c-2, d-1 D) a-3, b-2, c-4, d-1

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Answer & Solution

Answer: Option C

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