Business Statistics and Research Methods MCQs

Question 1

Variance of random variable X of γ (gamma) distribution can be calculated as

Accepted Answer

var(x) = 2n/μp 2

Answer

var(x) = n - 2/μp 3

Answer

var(x) = xn/μp 2

Answer

var(x) = n + 2/μp 2

Question 2

Which of the following formulae is/are correct as per the relationship defined by Karl Person? 1. Mode = Mean - 3 [Mean - Median] 2. Mode = 3 Median - 2 Mean 3. Median = Mode + 2/3 [Mean - Mode]

Accepted Answer

Answer

Only 1

Answer

Only 1 and 2

Answer

Only 2

Answer

Only 1 and 3

Question 3

Assertion (A) Standard deviation is independent of change of origin. Reason (R) The value of standard deviation remains the same, if in a series each the observation is increased or decreased by a constant quantity.

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 4

Assertion (A) If a random sample of 'n' observations is taken from a binomial population with parameter as p, the sampling distributions will be a standard deviation which is normally distributed. Reason (R) Standard deviation of binomial distribution $$\sigma P = \sqrt {\frac{{pq}}{n}} ,$$ where q = 1 - p

Accepted Answer

(A) is false, but (R) is true

Answer

(A) is true, but (R) is false

Answer

Both are false

Answer

Both are true

Question 5

Consider the following information. Commodity Price in 2015 (Rs.) Price in 2016 (Rs.) A 50 70 B 40 60 C 80 90 D 110 120 E 20 20 If we go on constructing an index number for the year 2016, taking year 2015 as base, what will be the value?

Accepted Answer

120

Answer

102

Answer

107

Answer

110

Question 6

Given the following numbers 2, 8, 6, 5, 0, 9, 7, 11 The product of their arithmetic and geometric means is

Accepted Answer

0

Answer

64

Answer

16

Answer

6

Question 7

A rank correlation coefficient is being calculated, using the formula $$R = 1 - \frac{{6\sum {d^2}}}{{n\left( {{n^2} - 1} \right)}}.$$ If Σd 2 = 50 and n = 10, R will (to 2 decimal places) be

Accepted Answer

0.7

Answer

-0.3

Answer

0.63

Answer

0.3

Question 8

Which of the following is more frequently used in statistical analysis of hypothesis? 1. Null hypothesis 2. Alternate hypothesis 3. Mixed hypothesis

Accepted Answer

Both 3 and 2

Answer

Both 2 and 3

Answer

Both 1 and 3

Answer

All of the above

Question 9

Match List-I with List-II : List-I List-II a. $$j = \frac{{\overline X - {M_Q}}}{\sigma }$$ 1. Kelly's coefficient of skewness b. $$j = \frac{{{Q_3} - {Q_1} - 2{M_Q}}}{{{Q_3} - {Q_1}}}$$ 2. Bowley's measure of skewness c. $$j = \frac{{{P_{90}} + {P_{10}} - 2{P_{50}}}}{{{P_{90}} - {P_{10}}}}$$ 3. Karl Pearson's coefficient of skewness Choose the correct option from those given below:

Accepted Answer

a-3, b-2, c-1

Answer

a-3, b-1, c-2

Answer

a-1, b-2, c-3

Answer

a-2, b-1, c-3

Commodity	Price in 2015 (Rs.)	Price in 2016 (Rs.)
A	50	70
B	40	60
C	80	90
D	110	120
E	20	20

List-I	List-II
a. $$j = \frac{{\overline X - {M_Q}}}{\sigma }$$	1. Kelly's coefficient of skewness
b. $$j = \frac{{{Q_3} - {Q_1} - 2{M_Q}}}{{{Q_3} - {Q_1}}}$$	2. Bowley's measure of skewness
c. $$j = \frac{{{P_{90}} + {P_{10}} - 2{P_{50}}}}{{{P_{90}} - {P_{10}}}}$$	3. Karl Pearson's coefficient of skewness