Business Statistics and Research Methods MCQs

Question 1

The right-hand tail of a frequency distribution is found to the mirror image of the left-hand tail. The distribution is-

Accepted Answer

negatively skewed

Answer

positively skewed

Answer

asymmetric

Answer

symmetric

Question 2

Identify which of the following steps would be included in hypothesis testing.
1. State the null and alternative hypothesis.
2. Set the significance level before the research study.
3. Eliminate all outliers.
4. Obtain the probability value using a computer programme such as SPSS.
5. Compare the probability value to the significance level and make the statistical decision.
Select the correct answer using the options given below

Accepted Answer

1, 2, 4 and 5

Answer

1, 3 and 4

Answer

3, 4 and 5

Answer

2, 3, 4 and 5

Question 3

If a construction company claims that 40% of all residences being built are 2 bedroom homes, the null hypothesis is

Accepted Answer

H 0 /P = 0.4

Answer

H 0 = P = 0.6

Answer

H 0 = P = 60%

Answer

None of these

Question 4

The moment coefficient of skewness 'p 1 ' is equal to

Accepted Answer

$$\frac{{{{\left( {q - p} \right)}^2}}}{{npq}}$$

Answer

$$\frac{{p - q}}{{npq}}$$

Answer

$$\frac{{q - p}}{{npq}}$$

Answer

$$\frac{{{{\left( {p - q} \right)}^2}}}{{npq}}$$

Question 5

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 6

Calculate the mean of marks of 46 students from the following table. Marks (X) Frequency 9 1 10 2 11 3 12 4 13 5 14 6 15 7 16 8 17 9 18 10 Total 55

Accepted Answer

15

Answer

12.01

Answer

14.56

Answer

None of these

Question 7

Arrange the following steps in sequence in constructing histogram.
1. Convert frequency table into equal class interval.
2. Check that class intervals are shown on X-axis and frequencies on the Y-axis.
3. Check that height of the rectangle is proportional to the respective frequency of grouped data.
4. Check that width of the rectangle represent the class interval.
5. Each rectangle is then joined.
Select the correct answer using the options given below

Accepted Answer

1, 2, 4, 3, 5

Answer

1, 2, 3, 4, 5

Answer

1, 3, 4, 2, 5

Answer

1, 4, 3, 2, 5

Question 8

Assertion (A) In mean deviation, everything is considered positive. Reason (R) Sum of the deviations of the value of items in a series from arithmetic mean is zero and from other averages it is nearly zero.

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 9

Which two of the following statements are true?
(1) Skewness studies the flatness or peakedness of the distribution
(2) A positively skewed distribution curve is stretched more to the right than to the left
(3) On the basis of empirical relationship between mean, mode and median for moderately asymmetrical distribution, Karl Pearson's coefficient of skewness can be measured by 3 (Mean-Median) divided by Standard Deviation
(4) If mean > mode, the distribution is positively skewed
Choose the correct option from those below:

Accepted Answer

(2) and (3)

Answer

(1) and (2)

Answer

(3) and (4)

Answer

(2) and (4)

Marks (X)	Frequency
9	1
10	2
11	3
12	4
13	5
14	6
15	7
16	8
17	9
18	10
Total	55