SSC CGL Tier-2 10th August 2022 Statistics

SSC CGL Tier-2 10th August 2022 Statistics - Question 1

Report

For the price -quantity chart

the Laspeyres price index for current year is

A

188

B

180

C

190

D

184

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 2

Report

For completely randomised design for k treatments and n observations, $$y_{if}$$ = response from the $$j^{th}$$ unit receiving $$i^{th}$$ treatment, $$\sum_i \sum_j y_{ij} = y_{..}$$ and $$\sum_j^{ni} y_{ij} = y_{i.}$$. Which of the following options is correct?

A

$$\sum_{i=1}^{k} \sum_{j=1}^{n_{i}}\left(y_{ij} - \overline{y}_{i}\right)^{2}$$ represents sum of squares of due to error

B

$$\sum_{i=1}^{k}\left(\overline{y}_{i}- \overline{y}_{..}\right)^{2}$$ represents sum of squares due to treatments

C

$$\sum_{i=1}^{k} \sum_{j=1}^{n_{i}}\left(y_{ij} - \overline{y}_{..}\right)^{2}$$ represents total sum of squares

D

$$\sum_{i=1}^{k} n_{i} \left(\overline{y}_{i.}- \overline{y}_{..}\right)^{2}$$ represents sum of squares due to treatments

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 3

Report

Two data set of size 9 and 6 have standard deviation 3 and 4 respectively and arithmetic means 3 and 3 respectively. The standard deviation of combined data set of size 15 is

A

$$\sqrt{\frac{177}{15}}$$

B

$$\sqrt{\frac{175}{15}}$$

C

$$\sqrt{\frac{178}{15}}$$

D

$$\sqrt{\frac{176}{15}}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 4

Report

For the variables X, Y and Z, $$r_{XY} = 0.80, r_{XZ} = 0.64, r_{YZ} = 0.79$$, then square of multiple correlation coefficient $$R^{2}_{X.YZ}$$ is:

A

0.53

B

0.43

C

0.64

D

0.33

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 5

Report

In a 3 races, 2 genders and 5 in each treatments group for two -way ANOVA, the degree of freedom for source of variation due to interaction, error and total respectively are

A

(2, 24, 29)

B

(6, 24, 29)

C

(6, 30, 30)

D

(2, 24, 30)

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 6

Report

A random sample of size 225 is drawn from the population of mean $$\mu$$ and standard deviation $$\sigma$$. The sample mean follows the distribution with mean 100 and standard distribution 4/3. The value of $$\mu$$ and $$\sigma$$ are:

A

(100, 20)

B

(100, 18)

C

(100, 15)

D

(100, 24)

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 7

Report

The probability of getting a total of 7 on two dice thrown together is:

A

5/36

B

7/36

C

8/36

D

6/36

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 8

Report

Identify, from the following, the moment used as a measure of skewness?

A

Fourth moment

B

Third moment

C

Second moment

D

First moment

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 9

Report

The six decile ($$\bf{D_{6}}$$) of 5, 3, 2, 6, 8, 4 is:

A

5.15

B

5.20

C

5.30

D

5.25

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 10

Report

The mode of the given data set is 12. The sum of the frequency on both sides of mode are 16. The skewness:

A

equal to $$\bf 1$$

B

equal to $$\bf \pm 1$$

C

equal to $$\bf -1$$

D

does not exit

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 11

Report

If $$X$$ and $$Y$$ represent waiting time and service time of customers in shopping mall, have joint destiny $$f(x, y) = kx ; 0 \leq y \leq x \leq 1$$, then the value of $$k$$ is

A

3

B

1

C

4

D

2

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 12

Report

Which is not relative measures of skewness?

A

$$\bf \frac{D_{9}-2D_{5}+D_{1}}{D_{9} - D_{1}}$$

B

$$\bf mean - mode$$

C

$$\bf \frac{(Q_{3} - Q_{2}) - (Q_{2} - Q_{1})}{(Q_{3} - Q_{1})}$$

D

$$\bf \frac{P_{90} - 2P_{50} + P_{10}}{P_{90} - P_{10}}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 13

Report

For two items, tea (1 kg) and sugar (1 kg), the prices in the year 2019 were ₹100 and ₹50, respectively, whereas the prices in the year 2020 were ₹125 and ₹60, respectively. The value of Laspeyres price index is:

A

125.33

B

123.33

C

122.33

D

120.33

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 14

Report

Which of the following statements is INCORRECT?

A

Primary data are those that are collected for the first time.

B

Primary data are original.

C

Primary data are more reliable.

D

Collecting primary data is not quite expensive both, in the terms of time and money.

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 15

Report

The deseasonalised time - series data will have only trend (T), cyclical (C) and irregular (I) components and is expressed as:

A

$$\frac{C.I}{T} \times 100$$

B

$$\frac{T.I}{C} \times 100$$

C

$$(T.C.I) \times 100$$

D

$$\frac{T.C}{I} \times 100$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 16

Report

For the ANOVA table

the F - statistics is

A

8.60

B

7.33

C

8.99

D

8.33

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 17

Report

The mean deviation and coefficient of mean deviation of 5 observation are 1.2 and 0.4. If the sum of the first four terms is 10, then the fifth term is equal to:

A

4.5

B

5

C

4

D

5.5

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 18

Report

The standard error of the given data $$15, 5, 12, 10, 20, 4$$ is

A

$$\frac{\sqrt{43}}{3}$$

B

$$\frac{\sqrt{45}}{3}$$

C

$$\frac{\sqrt{44}}{3}$$

D

$$\frac{\sqrt{46}}{3}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 19

Report

If the sum of lower and upper qualities is 6 and quartile deviation is 1.5, then the value of coefficient of quartile deviation is

A

0.7

B

0.6

C

0.5

D

0.4

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 20

Report

The 95% confidence interval of average age of accidents in any city during last year for a sample of size 100 with mean age 34.25 from population of standard deviation 10 is

A

[32.29, 36.21]

B

[32.29, 36.58]

C

[32.605, 36.895]

D

[32.92, 36.58]

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 21

Report

If $$r_{p}$$ be partial correlation compound on sample $$r_{AB.c}$$ compound from sample of size n, the test statistic for significance testing is

A

1

B

2

C

3

D

4

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 22

Report

For the following frequency distribution

the value of mode is:

A

6.40

B

6.20

C

6.00

D

6.25

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 23

Report

If the mean and variance of a binomial distribution are 5 and 4, respectively, then the value of n is:

A

25

B

10

C

20

D

15

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 24

Report

For an experiment we have the following data set: n = 4, $$\sum_{}^{}X = a, \sum_{}^{}Y = 10, \sum_{}^{}XY = 21,\sum_{}^{}X^{2} = 30, \sum_{}^{}Y^{2} = 30$$ the correlation coefficient is -0.8 then the value of a is:

A

8

B

7

C

10

D

9

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 25

Report

The grouped data for the observation are as follows.

The population skewness:

A

is negative

B

is zero

C

Data is insufficient

D

is positive

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 26

Report

If each observation in a data set for number of employees in different divisions is doubled then the coefficient of quartile deviation:

A

is also doubled

B

remains same

C

is fourtimes of the original

D

is halved

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 27

Report

If the first, second, and third moment about the origin are 2, 8, and 18 respectively, then third moment about mean is

A

-14

B

-12

C

14

D

12

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 28

Report

For the variables X and Y, we collect 4 observations with $$\sum_{}^{}X = 10, \sum_{}^{}Y = 14, \sum_{}^{}X^{2} = 30, \sum_{}^{}Y^{2} = 54, \sum_{}^{}XY = 31$$ The regression line y on x is

A

y = 0.8x - 5.5

B

y = 0.8x + 5.5

C

y = -0.8x - 5.5

D

y = -0.8x + 5.5

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 29

Report

The median of the following observations 10, 11, 9, 12, 10,10, 12, 10, 9,11 is:

A

11

B

9

C

8

D

10

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 30

Report

For the two variables X and Y, the following observations are tabulated.

The spearman's correlation coefficient is:

A

-0.125

B

-0.120

C

-0.100

D

-0.110

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 31

Report

If first, second, and third moment about origin are 1, 6, and 15 respectively, then Karl Pearson beta coefficient of skewness $$\beta_{1}$$ is

A

$$\frac{1}{5}$$

B

$$\frac{1}{125}$$

C

$$\frac{1}{625}$$

D

$$\frac{1}{25}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 32

Report

If mean and median of the distribution are 12 and 21, then the distribution

A

is negatively skewed

B

is positively skewed

C

can't be determined for its skewness

D

is not skewed

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 33

Report

In a two-way ANOVA table

the value of $$x, F_{A}, F_{B}$$ are:

A

(8,49,3)

B

(9,49,1)

C

(8,49,1)

D

(9,49,3)

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 34

Report

The median of following observations 8, 9, 10, 8, 8, 10, 8, 9 is

A

8.0

B

8.2

C

8.4

D

8.5

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 35

Report

For the ANOVA which of the following options is INCORRECT.

A

Null hypothesis $$H_{0}: \mu_{1} = \mu_{2} = ... = \mu_{n}$$

B

F -ratio belongs to [$$-\infty, \infty$$]

C

Alternative hypothesis $$H_{1}$$ : At least one population mean is different from one another

D

Variance are compared in F ratio to determine mean differences are significantly bigger than chance

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 36

Report

The Pearson's correlation coefficient between following observation

is - 0.8. If each observation of X is halved and of Y is doubled, then Pearson's correlation coefficient equals to

A

-0.81

B

-0.79

C

-0.80

D

-0.82

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 37

Report

For the ANOVA which option is wro1ng?

A

Total sum of square = Total vaiation in data

B

Mean sum of square between group = $$\frac{sum \ of \ square \ between \ group}{degrees \ of \ freedom \ between \ group}$$

C

F = $$\frac{Mean \ sum \ of \ square \ within \ group}{Mean \ sum \ of \ square \ between \ group}$$

D

Total degree of freedom = between degree of freedom + within degree of freedom

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 38

Report

From standard pack of 52 cards, 3 cards are drawn at random without replacement. The probability of drawing a king, a queen and a jack in order is

A

$$\frac{32}{16575}$$

B

$$\frac{4}{16575}$$

C

$$\frac{16}{16575}$$

D

$$\frac{8}{16575}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 39

Report

If the second and third moment about the origin are 8 and 18 and the third moment about mean is -14 , then the first moment about the origin is:

A

2

B

1

C

3

D

1.5

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 40

Report

For the random variable X with probability density function $$f(x) = \frac{(x - 3)^{2}}{5}$$; x = 3, 4, 5, the variance of X is:

A

$$\frac{2}{25}$$

B

$$\frac{4}{5}$$

C

$$\frac{4}{25}$$

D

$$\frac{2}{5}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 41

Report

If A and B are mutually exclusive, the general addition rule is:

A

$$P(A \cup B) = P(A) + P(B) + P(A \cap B)$$

B

$$P(A + B) = P(A) + P(B)$$

C

$$P(A \cap B) = 0$$

D

$$P (A \cup B) = P(A) + P(B)$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 42

Report

Two random variables X and Y are said to be independent if:

A

EXY = Y(EX)

B

EXY = XE(Y)

C

EYX = E(X)E(Y)

D

E(XY) = E(X) + E(Y)

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 43

Report

The value of k so that following is probability mass function

is

A

$$\frac{1}{16}$$

B

$$\frac{2}{15}$$

C

$$\frac{1}{15}$$

D

$$\frac{1}{14}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 44

Report

If moment generating function of discrete random variable X is $$(q + pe^{t})^{n}$$, then $$E(X^{2})$$ equals to

A

$$np(np + q)$$

B

$$nq(p + nq)$$

C

$$np(p + nq)$$

D

$$nq(np + q)$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 45

Report

The standard deviation of Y is double of standard deviation of X. The correlation coefficient between X and Y is 0.5. The acme angle between lines of regression is

A

arctan $$\left(\frac{4}{5}\right)$$

B

arctan $$\left(\frac{3}{5}\right)$$

C

arctan $$\left(\frac{1}{5}\right)$$

D

arctan $$\left(\frac{2}{5}\right)$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 46

Report

If mean and mode of the distribution is 32 and 21, then the distribution:

A

is negatively skewed

B

is not skewed

C

is positively skewed

D

cannot be determined

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 47

Report

To estimate the average work experience of MBA students at a management institute, five students are selected at random from each type of background, say commerce, science and engineering. This type of sampling is called:

A

stratified sampling

B

cluster sampling

C

systematic sampling

D

simple random sampling

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 48

Report

Which of the following options is correct when data is classified on the basis of attributes?

A

Geographical classification

B

Qualitative classification

C

Temporal classification

D

Geological classification

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 49

Report

If the third quartile of the following data set 7,10,7,8,9 is 9.5, then the value of quartile deviation is:

A

7.00

B

1.25

C

2.75

D

4.25

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 50

Report

The arithmetic mean of the following frequency distribution of number of members in family in the society

is

A

6.923

B

7.923

C

5.923

D

4.923

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 51

Report

The prices (in Rs.) for the commodity ABC,XYZ, MNO, and IJK in base year (2020) are 20, 18, 12, 24 and in current year (2022) are 25, 22, 15, 28 respectively. The value of price index by simple aggregative method is

A

125.62

B

115.62

C

111.62

D

121.62

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 52

Report

The mean and median of the distribution is 12 and 15. Then the mode equals to:

A

18

B

24

C

21

D

15

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 53

Report

The fair dice is rolled 15 times and face value are noted

The empirical probability of getting a number greater than 4 when a dice is rolled, is

A

$$\frac{1}{2}$$

B

0

C

1

D

$$\frac{2}{5}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 54

Report

If the population kurtosis of the observations 16,12,6,2,4,10 is 1.7414, then population kurtosis of the 8,6,3,1,2,5 is

A

0.8707

B

0.43535

C

3.4828

D

1.7414

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 55

Report

Recession in industry is associated with the:

A

cyclical component

B

irregular component

C

trend

D

seasonal component

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 56

Report

Which of the following correctly completes the given statement?
Index number helps in:
(I) determining the cost of living
(II) fixing the dearness allowances
(III) reflecting the real income

A

All I, II and III

B

Only I and II

C

Only II and III

D

Only I and III

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 57

Report

Which of the following options is INCORRECT?

A

For k treatments and N observations, the degree of freedom of the ratio of mean sum of square of treatments and residual mean sum is N - 1 and k - 1

B

For k treatments and N observations the degree of freedom of variation within groups is N - k

C

Fork treatments and N observations the degree of freedom of total variation is N - 1

D

Fork treatments and N observations, the degree of freedom of variation between groups is k - 1

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 58

Report

Which option is incorrect?

A

mean sum of square of total = mean sum of square of treatment + mean sum of square of error

B

sum of square of total = sum of square of treatment + sum of square of error

C

For k treatments and N observations, the degree of freedom of variation within group is N - k

D

Fork treatments and N observations, the degree of freedom of, variation between group is k - 1

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 59

Report

If random variable X follows binomial distribution with parameter n and p with mean 15 and variance 10, then the value of mode is

A

$$\frac{46}{3}$$

B

$$\frac{48}{3}$$

C

$$\frac{49}{3}$$

D

$$\frac{47}{3}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 60

Report

If the first, second and third moment about origin are 2, 8 and 14. respectively, then Karl Pearson gamma coefficient of skewness $$\gamma_{1}$$ is:

A

0.25

B

-2.25

C

-0.25

D

-1.25

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 61

Report

If Z follows standard normal distribution with mean 0 and variance 1, then $$Z^{2}$$ follows:

A

Chebyshev distribution with degree of freedom 1

B

normal distribution with mean 0 and variance 1

C

0 gamma distribution with $$\alpha = 1$$ and $$\beta = 1$$

D

beta distribution with $$\alpha = 1$$ and $$\beta = 1$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 62

Report

Two data sets of sizes 6 and 9 have standard deviation 3 and 4, respectively, and arithmetic means 4 and 4, respectively. The standard deviation of combined data set of size 15 is:

A

$$\sqrt{\frac{72}{5}}$$

B

$$\sqrt{\frac{68}{5}}$$

C

$$\sqrt{\frac{70}{5}}$$

D

$$\sqrt{\frac{66}{5}}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 63

Report

A physical instructor claims that the mean weight of students in school is greater than 82 kg with standard deviation 20. If a sample of size 81 students is selected with mean weight of 90. The test statistic equals to

A

z = 3.0

B

z = 3.6

C

z = 3.2

D

z = 2.4

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 64

Report

If moment generating function of continuous random variable X is $$\frac{\lambda}{\lambda - t} ; t< \lambda$$, then E($$X^{3}$$) equals to:

A

$$\frac{4}{\lambda^{3}}$$

B

$$\frac{8}{\lambda^{3}}$$

C

$$\frac{6}{\lambda^{3}}$$

D

$$\frac{2}{\lambda^{3}}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 65

Report

For frequency distribution presentation , which option is wrong.

A

Bar graph presents score categories that are measured from a nominal or an ordinal scale

B

In polygon, an additional line is not drawn at each end to bring the graph back to a zero frequency

C

In a histogram, a bar is centered above each score ( or class interval) so that the height of the bar corresponds to the frequency

D

The smooth curve emphasizes the fact that the distribution is not showing the exact frequency for each category.

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 66

Report

The arithmetic mean of the following frequency distribution of number of accidents X on week working days is:

A

5.625

B

4.625

C

6.625

D

7.625

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 67

Report

Which option is WRONG?

A

Secondary data requires less time and money than primary data

B

Secondary data is original

C

Secondary data is less reliable and less suitable than primary data

D

Seconda1y data refer to those data that have already been collected by some other person.

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 68

Report

If $$P(A) = 0.4; P(B \mid A) = 0.05; P(C \mid A) = 0.04; P(B \mid A \cap C) = 0.09; P(C \mid A \cap B) = 0.07$$, then the probability of occurrence of all events equals to: :

A

0.14

B

0.0014

C

0.014

D

Given information is incomplete

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 69

Report

If the population skewness of the observations 8,6,3, 1,2,5 is 0.233, then the population skewness of 16,12,6,2,4,10 is:

A

0.1165

B

0.466

C

0.233

D

0.932

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 70

Report

If the first, fifth and ninth decile of frequency distribution $$x_{i} \mid f_{i}$$ are 3,10,16, respectively, then Kelly's coefficient of skewness is:

A

$$-\frac{2}{13}$$

B

$$-\frac{3}{13}$$

C

$$-\frac{4}{13}$$

D

$$-\frac{1}{13}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 71

Report

For the frequency distribution of income (in lakh) of the employees in factory

the value of mode is

A

3.333

B

3.933

C

3.833

D

3.533

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 72

Report

These seventh decile ($$D_{7}$$) of data set 4, 3, 10, 9, 1 is

A

8.6

B

8.8

C

8.9

D

8.7

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 73

Report

For the distribution

the third factorial moment is

A

1.8

B

-0.3

C

-1.8

D

0.3

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 74

Report

If the difference between the rank of the 4 observations are 2.5, 0.5, -1.5, -1.5, then Spearman's rank correlation coefficient equals to:

A

-0.1

B

0.1

C

-0.2

D

0.2

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 75

Report

$$X_{1}$$ and $$X_{2}$$ represent number of occurrences of event A and 8 that follow Poisson distribution with mean rate $$\lambda_{1}$$ and $$\lambda_{2}$$, If $$Y_{1}$$ and $$Y_{2}$$ are inter-occurrence times of event A and B, then min($$Y_{1},Y_{2}$$) follows

A

Exponential distribution with mean rate min ($$\lambda_{1}, \lambda_{2}$$)

B

Exponential distribution with mean rate ($$\lambda_{1} + \lambda_{2}$$)

C

Poisson distribution with mean rate ($$\lambda_{1} - \lambda_{2}$$)

D

Poisson distribution with mean rate ($$\lambda_{1} + \lambda_{2}$$)

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 76

Report

For the distribution with unknow $$\theta$$
$$f(x, \theta) = \begin{cases}\frac{1}{\theta}; & 0 \leq x \leq \theta\\0, & elsewhere\end{cases}$$

We set the testing of hypothesis $$H_{0} : \theta = 1 \ vs \ H_{1} : \theta = 2$$. When the critical region $$X \geq 0.4$$, the value of probability of type-II error is:

A

0.25

B

0.30

C

0.24

D

0.20

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 77

Report

For the production data

the third 3-year simple moving average is:

A

56

B

59

C

57

D

58

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 78

Report

The grouped data for the observations are

The population skewness

A

cannot be computed

B

is zero

C

is positive

D

is negative

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 79

Report

For the data set

the regression coefficient $$b_{xy}$$ (y on $$x$$) equals to:

A

-0.86

B

0.86

C

-0.8

D

0.8

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 80

Report

The value of a and b so that the following is probability mass function

with mean 1.1, is:

A

(0.1, 0.1)

B

(0.2, 0.1)

C

(0.2, 0.2)

D

(0.1, 0.2)

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 81

Report

If $$A, B$$ and $$C$$ are arbitrary events, then $$P(A \cap B \cap C)$$ equals to:

A

$$P(A)P(B \mid A)P(C \mid A \cap B)$$

B

$$P(A)P(A \mid B)P(A \cap B \mid C)$$

C

$$P(A)P(B)P(C)$$

D

$$P(A) + P(B) + P(C)$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 82

Report

If the odds in favour of any random event A are 5 : 6, then the odds against the event are:

A

5 : 11

B

6 : 5

C

11 : 6

D

6 : 11

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 83

Report

Which of the following is the most relevant for deriving a point estimate?

A

Confidence desired

B

Population size

C

Sample size

D

Variability in the population

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 84

Report

For the cumulative distribution function 

$$F(x) = \begin{cases}0; & x < -1\\\frac{1}{2}(x + 1)^2; & -1 \leq x \leq 0 \\1-\frac{(1-x)^2}{2}; & 0 \leq x \leq 1\\1; & 1 < x < \infty \end{cases}$$

the upper quartile point is

A

$$1 - \sqrt{0.25}$$

B

$$1 - \sqrt{0.5}$$

C

$$1 + \sqrt{0.5}$$

D

$$1 + \sqrt{0.25}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 85

Report

For ANOVA table

the F - statistics is:

A

7.4

B

7.2

C

7.3

D

7.5

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 86

Report

If each observation is halved then the coefficient of quartile deviation

A

is also halved

B

is doubled

C

remains same

D

is one-fourth of original

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 87

Report

If the first quartile of data set 8,10,8,7,9 is 7.5, then the value of quartile deviation is

A

1.0

B

7.5

C

2.5

D

9.5

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 88

Report

The interquartile range excludes ___ of the values.

A

100%

B

25%

C

75%

D

50%

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 89

Report

For the frequency distribution of X number of grammatical mistakes per line is as follows.

The third factorial moment of X is:

A

3.6

B

2.8

C

3.2

D

4.8

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 90

Report

If price-quantity are related for base year (0) and current year (1) are
$$\sum_{}:p_{0}q_{0} = 260,\sum_{}:p_{1} q_{0} = 395, \sum_{}:p_{0}q_{1} = 264, \sum_{}:p_{1}q_{1} = 422$$, then Marshall Edgeworth price index equals to

A

145.92

B

175.92

C

165.92

D

155.92

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 91

Report

Which one is not non-probability sample method

A

Cluster sampling

B

Quota sampling

C

Purposive sa1npling

D

Snowball sampling

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 92

Report

If A and B are manually exclusive events such that P(A)P(B) > 0 , then which option is correct?

A

A and B are not independent

B

B $$\subset$$ A

C

A $$\subset$$ B

D

A and B are independent

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 93

Report

Which of the following is an example of using a sample to make inference about a population?

A

Pre-election poll by media

B

Assembly elections

C

Census

D

Statistics of a cricket player in one-day matches

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 94

Report

If r and R denote correlation and multiple correlation coefficient for the data set for $$X_{1},X_{2}$$ and $$X{3}$$. Which option is correct?

A

$$r_{12} = 0.24,r_{13} = 0.22,r_{23} = 0.23, R_{1.23} = 0.21$$

B

$$r_{12} = 0.21,r_{13} = 0.22,r_{23} = 0.23, R_{1.23} = 0.20$$

C

$$r_{12} = 0.69,r_{13} = 0.22,r_{23} = 0.23, R_{1.23} = 0.21$$

D

$$r_{12} = 0.69,r_{13} = 0.22,r_{23} = 0.23, R_{1.23} = 0.69$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 95

Report

Which option is incorrect for the component of ti.me series.

A

A non-seasonal cycle is a repetitive, possibly unpredictable, pattern in the series values

B

A trend is a gradual upward or downward shift in the level of the series

C

A sudden temporary shift is referred as pulse

D

Shifts in the level of a time series that cannot be explained are referred to as seasonal cycles

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 96

Report

Which one is not basis of classification of data.

A

Temporal classification

B

Qualitative classification

C

Geological classification

D

Geographical classification

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 97

Report

The purchasing power of money is equal to:

A

$$\frac{1}{\sqrt{price \ index \ number}}$$

B

$$\sqrt{price \ index \ number}$$

C

$$\frac{1}{(price \ index \ number)^{2}}$$

D

$$\frac{1}{price \ index \ number}$$

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 98

Report

Using the method of semi-averages, secular trend is measured when:

A

trend is symmetric about the mean

B

time series comprises even number of values

C

trend is linear

D

time series is based on annual values

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 99

Report

The mean and median of the distribution are 10 and 11 respectively, then the mode equals to

A

18

B

14

C

20

D

17

View Solution

SSC CGL Tier-2 10th August 2022 Statistics - Question 100

Report

Fundamental principles of design of experiment are
(I) Randomization
(II) Replication
(III) Local control
Which option is correct?

A

Onl (II) and (III)

B

Onl (I) and (III)

C

All (I), (II) and (III)

D

Onl (I) and (II)

View Solution