Business Statistics and Research Methods MCQs

Question 1

Which of the following is a data?
i. The weight of Ram is 80 kg while that of Shyam and Mohan is 85 and 65 kg respectively
ii. Hari's age is 55 years
iii. A sold less than B, B sold more than C
iv. ram's height is 5'6", Shyam's weight is 70 kg and Sohan's age is 40 years
Select your answer from the options given below

Accepted Answer

i

Answer

i and iv

Answer

ii and iv

Answer

iii

Question 2

Assertion (A) Median of a distribution is that value of the variant which divides it in two equal parts. Reason (R) Median is a positional average.

Accepted Answer

Both (A) and (R) are true

Answer

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

Answer

Both (A) and (R) are false

Answer

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

Question 3

Which of the following statements are true?
1. The coefficient of rank correlation has the same limits as the Karl Pearson's coefficient of correlation.
2. The coefficient of correlation is independent of the change of origin but not of scale.
3. The covariance between $$X$$ and $$Y$$ is defined as $$\frac{{\sum {xy} }}{n}$$ where, $$x = \left( {X - \overline X } \right),y = \left( {Y - \overline Y } \right)$$ and $$n = $$ no. of paired observations.
4. $${b_{xy}}$$ is called regression coefficient of $$X$$ variable on $$Y$$ variable.
5. If $${b_{xy}}$$ is 0.4 and $${b_{yx}}$$ is 1.6, coefficient of determination would be 0.8.
Select the correct answer:

Accepted Answer

1, 3 and 4

Answer

1, 2 and 3

Answer

3, 4 and 5

Answer

2, 3 and 5

Question 4

Sample design involves which of the following? 1. Sampling unit 2. Size of samples 3. Type of universe 4. Source list 5. Sampling procedure

Accepted Answer

3, 1, 4, 2, 5

Answer

1, 2, 3, 4, 5

Answer

3, 4, 1, 2, 5

Answer

3, 5, 1, 4, 2

Question 5

Assertion (A) The simple arithmetic mean will be equal to the weighted arithmetic mean, when all items are assigned equal weights. Reason (R) The simple arithmetic mean will be less than the weighted arithmetic mean when items of small values are given less weights and items of big values are give more weights.

Accepted Answer

Both (A) and (R) are true

Answer

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

Answer

Both (A) and (R) are false

Answer

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

Question 6

Which of the following is correct?
1. Large sample, n > 30
2. Small sample, n < 20
3. Probability of type I error (α) is also called significance level of least.
4. Accepting the null hypothesis, when it is false is called type II error.
Select the correct answer using the options given below

Accepted Answer

1, 3 and 4

Answer

1, 2 and 3

Answer

2, 3 and 4

Answer

All of the above

Question 7

Assertion (A): A reasonably sized sample drawn randomly from large sized population contains almost all the characteristics which exist in the population. Reason (R): The theory of sampling is based on the two important laws of statistics, viz law of statistical regularity and law of inertia of large numbers.

Accepted Answer

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

Answer

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

Answer

(A) is not correct, while (R) is correct

Answer

Both (A) and (R) are not correct

Question 8

Match the following. List-I List-II a. Range 1. Not based on all observation in data b. Mode 2. Middle value of a series arranged in any order of magnitude c. Mean 3. It can be used even when classes are open-ended d. Median 4. Is the most simple and frequently used average

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 9

Under which of the following situations, chi-square test is applicable?
1. Testing homogenity
2. Testing goodness of fit
3. Testing equality of two sample means
4. Testing equality of two sample proportions
5. Testing independence of attributes
Select the correct answer using the options given below

Accepted Answer

1, 2 and 5

Answer

1, 2 and 3

Answer

3, 4 and 5

Answer

1, 3 and 5

List-I	List-II
a. Range	1. Not based on all observation in data
b. Mode	2. Middle value of a series arranged in any order of magnitude
c. Mean	3. It can be used even when classes are open-ended
d. Median	4. Is the most simple and frequently used average