Business Statistics and Research Methods MCQs

Question 1

Which of the following measures are unit free? 1. Correlation coefficient 2. Covariance 3. Coefficient of variation 4. Index numbers Select the correct answer using the options given below

Accepted Answer

1, 3 and 4

Answer

1, 2 and 3

Answer

Both 1 and 4

Answer

None of the above

Question 2

Given is the following distribution of two variables x and y: x : 1 2 3 4 5 y : 3 4 5 6 7 The standard deviation of y is

Accepted Answer

Same as standard deviation of x

Answer

(the standard deviation of x) × 2

Answer

(the standard deviation of x) + 2

Answer

(the standard deviation of x) - 2

Question 3

Study the following information:
Covariance between X and Y series = -17.8
Standard deviation of X series = 6.6
Standard deviation of Y series = 4.2
Number of pairs of observation = 20
The coefficient of correlation is

Accepted Answer

-0.642

Answer

0.642

Answer

0.253

Answer

-0.253

Question 4

Consider the following statements. Statement-I: When the null hypothesis is true but as per the hypothesis-testing, it is rejected, it is known as beta type error in hypothesis testing. Statement-II: Chi-square test is exclusivelya non-parametric test.

Accepted Answer

Both the statements are false

Answer

Both the statements are true

Answer

Statement I is true while Statement II is false

Answer

Statement lis false while Statement II is true

Question 5

Consider the following statements. 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 and (R) is the complete explanation of (A)

Answer

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

Answer

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

Answer

Both (A) and (R) are not correct

Question 6

While testing the significance of the difference of two sample means in case of small samples, the degrees of freedom is calculated by:

Accepted Answer

v = n 1 + n 2 - 2

Answer

v = n 1 + n 2 - 1

Answer

v = n 1 - n 2 - 2

Answer

v = n 1 - n 2 + 2

Question 7

If b xy = 0.25 and b yx = 0.64 correlation coefficient is

Accepted Answer

0.4

Answer

0.16

Answer

0.89

Answer

0.3

Question 8

Which of the following statements are true? Select the correct option.
(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 where and n = number of paired observations.
(4) Bxy is called regression coefficient of X variable on Y variable.
(5) If bxy is 0.4 and byx is 1.6, coefficient of determination would be 0.8.

Accepted Answer

1, 3 and 4

Answer

1, 2 and 3

Answer

3, 4 and 5

Answer

2, 3 and 5

Question 9

The formula to determine the number of classes given by Sturge's Rule is which one of the following?
Where: K = Number of classes; N = Total number of observations
Logarithm of the total number of observations

Accepted Answer

K = 1 + 3.322 (log N)

Answer

K = (log N) 1.322

Answer

$$K = \frac{{1 + 3.322}}{{\left( {{	ext{Log }}N} ight)}}$$

Answer

$$K = \frac{{3.322}}{{\left( {{	ext{Log }}N} ight) + 1}}$$