Business Statistics and Research Methods MCQs

Question 1

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

Accepted Answer

alternative hypothesis

Answer

type I error

Answer

type II error

Answer

None of these

Question 2

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

Accepted Answer

Either A or B

Answer

critical region

Answer

rejection region

Answer

None of these

Question 3

Calculate mean from the following data. Age (X) Frequency (f) 17 2 18 1 19 1 20 2 22 3 23 1

Accepted Answer

20

Answer

15

Answer

30

Answer

40

Question 4

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

Accepted Answer

Coefficient of determination is the squares of correlation coefficient

Answer

Coefficient of determination is the square root of correlation coefficient

Answer

Both are equal

Answer

Both are unrelated

Question 5

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

Accepted Answer

$$\frac{{{	ext{Covariance of X and Y}}}}{{\sqrt {{	ext{Var}}{	ext{.}}\left( {	ext{X}} ight)\,{	ext{Var}}{	ext{.}}\left( {	ext{Y}} ight)} }}$$

Answer

$$\frac{{{	ext{Covariance of X and Y}}}}{{{	ext{Var}}{	ext{.}}\left( {	ext{X}} ight)\,{	ext{Var}}{	ext{.}}\left( {	ext{Y}} ight)}}$$

Answer

$$\frac{{{	ext{Var}}{	ext{.}}\left( {	ext{X}} ight)\,{	ext{Var}}{	ext{.}}\left( {	ext{Y}} ight)}}{{\sqrt {{	ext{Covariance of X and Y}}} }}$$

Answer

$$\frac{{{	ext{Var}}{	ext{.}}\left( {	ext{X}} ight)\,{	ext{Var}}{	ext{.}}\left( {	ext{Y}} ight)}}{{{	ext{Covariance of X and Y}}}}$$

Question 6

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

Accepted Answer

1, 2, 3 and 4

Answer

1, 2 and 4

Answer

1, 3 and 4

Answer

1, 2 and 3

Question 7

The numerical value of the standard deviation can never be negative. The positive square root of the mean of the squares of the deviations of observations from their mean is called:

Accepted Answer

Standard deviation

Answer

Variance

Answer

Range

Answer

Coefficient of variation

Question 8

Which of the statement(s) are true about 'measures of dispersion'? 1.The divergence of a set of observation 2. The concentration of a set of observation

Accepted Answer

Both 1 and 2

Answer

Only 1

Answer

Only 2

Answer

None of the above

Question 9

Primary data collected through direct personal interview is suitable for:

Accepted Answer

Intensive study

Answer

Extensive study

Answer

Both for intensive and for extensive study

Answer

Suitable only when third parties called witness capable of supplying necessary information