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-6 section-10

If A $$ \subset $$ B, then:

A) P(a) > P(b) B) P(A) ≥ P(B) C) P(B) = P(A) D) P(B) = P(B)

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Answer: Option B

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The best mean for construction of index is

A) Median B) Arithmetic mean C) Geometric mean D) None of these

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Answer: Option C

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For a sampling theorem with mean μ, confidence interval should be

A) (X + Z - α SEM) B) (X - Z - α SEM) C) (X ± Z - α SEM) D) None of these

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Answer: Option C

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Variance of a sampling distribution with mean μ is

A) σ²/n B) σ/n C) n/σ² D) None of these

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Answer: Option A

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If sample results fail to support the null hypothesis, we must conclude that something else is true, which is termed as

A) type I error B) type II error C) alternative hypothesis D) None of these

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Answer: Option C

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The . . . . . . . . is a set of values for testing statistic, for which the null hypothesis is rejected in a hypothesis test.

A) critical region B) rejection region C) Either A or B D) None of these

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Answer: Option C

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Calculate mean from the following data.

Age (X)	Frequency (f)
17	2
18	1
19	1
20	2
22	3
23	1

A) 15 B) 30 C) 20 D) 40

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Answer: Option C

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The relationship between correlation coefficient and coefficient of determination can be expressed as follows

A) Coefficient of determination is the squares of correlation coefficient B) Coefficient of determination is the square root of correlation coefficient C) Both are equal D) Both are unrelated

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Answer: Option A

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Karl Pearson's correlation coefficient is calculated by which of the following formula?

A) $$\frac{{{\text{Covariance of X and Y}}}}{{{\text{Var}}{\text{.}}\left( {\text{X}} \right)\,{\text{Var}}{\text{.}}\left( {\text{Y}} \right)}}$$ B) $$\frac{{{\text{Covariance of X and Y}}}}{{\sqrt {{\text{Var}}{\text{.}}\left( {\text{X}} \right)\,{\text{Var}}{\text{.}}\left( {\text{Y}} \right)} }}$$ C) $$\frac{{{\text{Var}}{\text{.}}\left( {\text{X}} \right)\,{\text{Var}}{\text{.}}\left( {\text{Y}} \right)}}{{\sqrt {{\text{Covariance of X and Y}}} }}$$ D) $$\frac{{{\text{Var}}{\text{.}}\left( {\text{X}} \right)\,{\text{Var}}{\text{.}}\left( {\text{Y}} \right)}}{{{\text{Covariance of X and Y}}}}$$

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Answer: Option B

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Parametric tests are those that make assumptions about the parameters of the population distribution from which the sample is drawn. This is often the assumption that the population data are normally distributed. Which of the following tests are the examples of Parametric Tests?
1. t-test (paired or unpaired)
2. ANOVA (one-way/two way/three way non-repeated)
3. Linear regression
4. Pearson rank correlation

A) 1, 2 and 4 B) 1, 3 and 4 C) 1, 2 and 3 D) 1, 2, 3 and 4

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Answer: Option D

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