Business Statistics and Research Methods MCQ Questions and Solutions with Explanations

Section 1 Section 2 Section 3 Section 4 Section 5 Section 6 Section 7 Section 8 Section 9 Section 10 Section 11 Section 12

1.
Which of the following is not a restricted random sampling technique?

A. Stratified sampling

B. Simple random sampling

C. Systematic sampling

D. Multi-stage sampling

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2.
If 'p', 'g' and 'n' are probability of success, failure and number of trials respectively in a Binomial Distribution, what is its Standard Deviation?

A. $$\sqrt {np} $$

B. $$\sqrt {pq} $$

C. $${\left( {np} \right)^2}$$

D. $$\sqrt {npq} $$

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3.
Arrange the following steps in sequence in constructing a frequency distribution.
1. The classes should be clearly defined and each observations should be included in only one of class interval.
2. Check that the number of classes should neither be too large nor too small.
3. Check that all class intervals are of same width.
4. List the value of the variable in different class interval.
Select the correct answer using the options given below

A. 1, 3, 2, 4

B. 1, 2, 3, 4

C. 1, 4, 3, 2

D. 2, 1, 3, 4

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4.
In calculating the regression equation linking two variables, the standard formulae for the regression coefficients are given in terms of X and Y. Which of the following is true?

A. X must be the variable which will be forecast

B. It does not matter which variable is which

C. Y must be the dependent variable

D. Y must be the variable shown on the vertical axis of a scatter graph

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5.
In a questionnaire, how many answers should be there for simple alternative questions?

A. Three

B. Two

C. No

D. Many

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6.
The null hypothesis of Kruskal-Wallis test is that the mean ranks of the groups are the same. The expected mean rank depends upon

A. $$\frac{n}{2}$$

B. $$\frac{n}{4}$$

C. $$\frac{{n + 1}}{4}$$

D. $$\frac{{n + 1}}{2}$$

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7.
Find the value of x² (chi-square) for the following information.

Class A B C D E

Observed Frequency 8 29 44 15 4

Expected Frequency 7 24 38 24 7

A. 6.06 approx

B. 6.76 approx

C. 7.02 approx

D. 5.05 approx

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8.
The portion of the total area covered in a normal curve under $$\overline x \pm 2.54\sigma $$ is

A. 85%

B. 95%

C. 99%

D. 90%

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9.
Not rejecting null hypothesis, when it is infact false is

A. type I error

B. type II error

C. two tailed error

D. None of the above

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10.
Choose the most appropriate answer:
First hand data collected afresh for the purpose of statistical investigation is called:

A. Skewed Data

B. Symmetric Data

C. Primary Data

D. Statistical Data

E. Secondary Data

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1 2 3 4 5 6 7 8 9 10

Class	A	B	C	D	E
Observed Frequency	8	29	44	15	4
Expected Frequency	7	24	38	24	7

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

1. Which of the following is not a restricted random sampling technique?

Answer & Solution

2. If 'p', 'g' and 'n' are probability of success, failure and number of trials respectively in a Binomial Distribution, what is its Standard Deviation?

Answer & Solution

Answer & Solution

4. In calculating the regression equation linking two variables, the standard formulae for the regression coefficients are given in terms of X and Y. Which of the following is true?

Answer & Solution

5. In a questionnaire, how many answers should be there for simple alternative questions?

Answer & Solution

6. The null hypothesis of Kruskal-Wallis test is that the mean ranks of the groups are the same. The expected mean rank depends upon

Answer & Solution

7. Find the value of x2 (chi-square) for the following information. Class A B C D E Observed Frequency 8 29 44 15 4 Expected Frequency 7 24 38 24 7

Answer & Solution

8. The portion of the total area covered in a normal curve under $$\overline x \pm 2.54\sigma $$ is

Answer & Solution

9. Not rejecting null hypothesis, when it is infact false is

Answer & Solution

10. Choose the most appropriate answer: First hand data collected afresh for the purpose of statistical investigation is called:

Answer & Solution

Read More Section(Business Statistics and Research Methods)

1.
Which of the following is not a restricted random sampling technique?

2.
If 'p', 'g' and 'n' are probability of success, failure and number of trials respectively in a Binomial Distribution, what is its Standard Deviation?

4.
In calculating the regression equation linking two variables, the standard formulae for the regression coefficients are given in terms of X and Y. Which of the following is true?

5.
In a questionnaire, how many answers should be there for simple alternative questions?

6.
The null hypothesis of Kruskal-Wallis test is that the mean ranks of the groups are the same. The expected mean rank depends upon

7.
Find the value of x² (chi-square) for the following information.

Class A B C D E

Observed Frequency 8 29 44 15 4

Expected Frequency 7 24 38 24 7

8.
The portion of the total area covered in a normal curve under $$\overline x \pm 2.54\sigma $$ is

9.
Not rejecting null hypothesis, when it is infact false is

10.
Choose the most appropriate answer:
First hand data collected afresh for the purpose of statistical investigation is called: