Business Statistics and Research Methods MCQs

Question 1

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

Accepted Answer

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

Answer

$$\frac{n}{2}$$

Answer

$$\frac{n}{4}$$

Answer

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

Question 2

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

Accepted Answer

6.76 approx

Answer

6.06 approx

Answer

7.02 approx

Answer

5.05 approx

Question 3

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

Accepted Answer

99%

Answer

85%

Answer

95%

Answer

90%

Question 4

Not rejecting null hypothesis, when it is infact false is

Accepted Answer

type II error

Answer

type I error

Answer

two tailed error

Answer

None of the above

Question 5

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

Accepted Answer

Primary Data

Answer

Skewed Data

Answer

Symmetric Data

Answer

Statistical Data

Question 6

In the Spearman's rank correlation coefficient, when the ranks are equal, the formula is

Accepted Answer

$$1 - \frac{{6\left[ {\sum {D^2} + \frac{1}{{12}}\left( {{m^3} - {m_1}} \right) + \frac{1}{{12}}\left( {{m^3} - {m_2}} \right) + .....} \right]}}{{{N^3} - N}}$$

Answer

$$1 - \frac{{\left[ {6\sum {D^2} + \frac{1}{2}\left( {{m^2} - m} \right) + \frac{1}{2}\left( {{m^2} - m} \right) + .....} \right]}}{{{N^3} - N}}$$

Answer

$$1 - \frac{{\frac{1}{2}\left[ {\left( {{m^3} - m} \right) + \frac{1}{2}\left( {{m^3} - m} \right) + .....} \right]}}{{{N^3} - N}}$$

Answer

None of the above

Question 7

The formula for percentile range (P.R.) is

Accepted Answer

P90 - P10

Answer

P50 - P30

Answer

P75 - P25

Answer

None of these

Question 8

For a normal distribution

Accepted Answer

Mean = Mode = Median

Answer

Mean > Mode > Median

Answer

Mean < Median < Mode

Answer

Mean > Median > Mode

Question 9

The degree to which numerical data tend to spread about an average value called:

Accepted Answer

Variation

Answer

Constant

Answer

Flatness

Answer

Skewness