Business Statistics and Research Methods MCQs

Question 1

Which of the following statements is correct about a parameter and a statistic associated with repeatedrandom samples of the same size from the same population?

Accepted Answer

Values of a statistic will vary according to the sampling distribution for that statistic

Answer

Values of a parameter will vary from sample to sample but values of a statistic will not

Answer

Values of both a parameter and a statistic may vary from sample to sample

Answer

Values of a parameter will vary according to the sampling distribution for that parameter

Question 2

In which of the following sampling methods are the "n" individuals subdivided into separate subpopulations with a common characteristic?

Accepted Answer

Stratified sample

Answer

Systematic sample

Answer

Cluster sample

Answer

None of the above

Question 3

Select the methods of finding out correlation from the following: (i) Karl Pearson's Method (ii) Spearman's Rank Method (iii) Yule's Method (iv) Coefficient of Contingency (v) Concurrent Deviation Method

Accepted Answer

(i), (ii), (v)

Answer

(i), (ii), (iii)

Answer

(i) (ii), (iii), (iv)

Answer

(iii), (iv), (v)

Question 4

The mean and standard deviation of 10 observations are 35 and 2 respectively. List-I List-II a. Changed mean if each observation is increased by 4 1. 39 b. Standard deviation if each observation is increased by 4 2. 2 c. Changed mean if each observation is multiplied by 5 3. 175 d. Changed standard deviation if each observation is multiplied by 5 4. 10

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

Which one of the following average can be computed from a cumulative frequency curve?

Accepted Answer

Median

Answer

Geometric Mean

Answer

Harmonic Mean

Answer

Mode

Question 6

Which of the following statement(s) is/are not true?

Accepted Answer

ANOVA is based on emphrical evidences

Answer

Analysis of variance is helpful for test three or more variables

Answer

ANOVA leads to fewer errors

Answer

All statements are false

Question 7

Formula of the rank correlation coefficient is

Accepted Answer

$$1 - \frac{{6\sum {d^2}}}{{N\left( {{N^2} - 1} \right)}}$$

Answer

$$1 + \frac{{6\sum {d^2}}}{{N\left( {{N^2} - 1} \right)}}$$

Answer

$$1 - \frac{{6\sum {d^2}}}{{N\left( {{N^3} - 1} \right)}}$$

Answer

$$\frac{{1 - 6\sum {d^2}}}{{N\left( {{N^2} - 1} \right)}}$$

Question 8

Non-sampling error may be caused by

Accepted Answer

All of the above

Answer

inadequate data specification and inconsistency with respect to the objectives of the survey

Answer

errors due to location of units, actual measurement of characteristics, ill designed questionnaire

Answer

lack of trained and qualified investigators

Question 9

If 'X' is a random variable, taking values 'X', probability of success and failure being 'p' and 'g' respectively and 'n' trials being conducted, then what is the probability that 'X' takes values 'x'? Use Binomial Distribution.

Accepted Answer

$$P\left( {X = x} \right) = {}^n{C_x}{p^x}{q^{\left( {n - x} \right)}}$$

Answer

$$P\left( {X = x} \right) = {}^n{C_x}{p^x}{q^x}$$

Answer

$$P\left( {X = x} \right) = {}^x{C_n}{q^x}{p^{\left( {n - x} \right)}}$$

Answer

$$P\left( {x = x} \right) = {}^x{C_n}{p^n}{q^x}$$