260+ Quantitative Techniques Solved MCQs

1.

The techniques which provide the decision maker a systematic and powerful means of analysis to explore policies for achieving predetermined goals are called..........................

A. Correlation techniques
B. Mathematical techniques
C. Quantitative techniques
D. None of the above
Answer» C. Quantitative techniques
2.

Correlation analysis is a ..............................

A. Univariate analysis
B. Bivariate analysis
C. Multivariate analysis
D. Both b and c
Answer» D. Both b and c
3.

If change in one variable results a corresponding change in the other variable, then the variables are.........................

A. Correlated
B. Not correlated
C. Any of the above
D. None of the above
Answer» A. Correlated
4.

When the values of two variables move in the same direction, correlation is said to be ............................

A. Linear
B. Non-linear
C. Positive
D. Negative
Answer» C. Positive
5.

When the values of two variables move in the opposite directions, correlation is said to be ............................

A. Linear
B. Non-linear
C. Positive
D. Negative
Answer» D. Negative
6.

When the amount of change in one variable leads to a constant ratio of change in the other variable, then correlation is said to be .........................

A. Linear
B. Non-linear
C. Positive
D. Negative
Answer» A. Linear
7.

...........................attempts to determine the degree of relationship between variables.

A. Regression analysis
B. Correlation analysis
C. Inferential analysis
D. None of these
Answer» B. Correlation analysis
8.

Non-linear correlation is also called.....................................

A. Non-curvy linear correlation
B. Curvy linear correlation
C. Zero correlation
D. None of these
Answer» B. Curvy linear correlation
9.

Scatter diagram is also called ......................

A. Dot chart
B. Correlation graph
C. Both a and b
D. None of these
Answer» A. Dot chart
10.

If all the points of a scatter diagram lie on a straight line falling from left upper corner to the right bottom corner, the correlation is called...................

A. Zero correlation
B. High degree of positive correlation
C. Perfect negative correlation
D. Perfect positive correlation
Answer» C. Perfect negative correlation
11.

If all the dots of a scatter diagram lie on a straight line falling from left bottom corner to the right upper corner, the correlation is called..................

A. Zero correlation
B. High degree of positive correlation
C. Perfect negative correlation
D. Perfect positive correlation
Answer» D. Perfect positive correlation
12.

Numerical measure of correlation is called .....................

A. Coefficient of correlation
B. Coefficient of determination
C. Coefficient of non-determination
D. Coefficient of regression
Answer» A. Coefficient of correlation
13.

Coefficient of correlation explains:

A. Concentration
B. Relation
C. Dispersion
D. Asymmetry
Answer» B. Relation
14.

Coefficient of correlation lies between:

A. 0 and +1
B. 0 and –1
C. –1 and +1
D. – 3 and +3
Answer» C. –1 and +1
15.

A high degree of +ve correlation between availability of rainfall and weight of weight of people is:

A. A meaningless correlation
B. A spurious correlation
C. A nonsense correlation
D. All of the above
Answer» D. All of the above
16.

If the ratio of change in one variable is equal to the ratio of change in the other variable, then the correlation is said to be .....................

A. Linear
B. Non-linear
C. Curvilinear
D. None of these
Answer» A. Linear
17.

Pearsonian correlation coefficient if denoted by the symbol ...............

A. K
B. r
C. R
D. None of these
Answer» C. R
18.

If r= +1, the correlation is said to be ...................

A. High degree of +ve correlation
B. High degree of –ve correlation
C. Perfect +ve correlation
D. Perfect –ve correlation
Answer» C. Perfect +ve correlation
19.

If the dots in a scatter diagram fall on a narrow band, it indicates a ....................... degree of correlation.

A. Zero
B. High
C. Low
D. None of these
Answer» B. High
20.

If all the points of a dot chart lie on a straight line vertical to the X-axis, then coefficient of correlation is ...................

A. 0
B. +1
C. –1
D. None of these
Answer» A. 0
21.

If all the points of a dot chart lie on a straight line parallel to the X-axis, it denotes .................................of correlation.

A. High degree
B. Low degree
C. Moderate degree
D. Absence
Answer» D. Absence
22.

If dots are lying on a scatter diagram in a haphazard manner, then r = ......................

A. 0
B. +1
C. –1
D. None of these
Answer» A. 0
23.

The unit of Coefficient of correlation is ........................

A. Percentage
B. Ratio
C. Same unit of the data
D. No unit
Answer» D. No unit
24.

Product moment correlation method is also called ........................

A. Rank correlation
B. Pearsonian correlation
C. Concurrent deviation
D. None of these
Answer» B. Pearsonian correlation
25.

The –ve sign of correlation coefficient between X and Y indicates.............................

A. X decreasing, Y increasing
B. X increasing, Y decreasing
C. Any of the above
D. There is no change in X and Y
Answer» C. Any of the above
26.

Coefficient of correlation explains .................... of the relationship between two variables.

A. Degree
B. Direction
C. Both of the above
D. None of the above
Answer» C. Both of the above
27.

For perfect correlation, the coefficient of correlation should be ..........................

A. ± 1
B. + 1
C. – 1
D. 0
Answer» A. ± 1
28.

Rank correlation coefficient was discovered by....................................

A. Fisher
B. Spearman
C. Karl Pearson
D. Bowley
Answer» B. Spearman
29.

The rank correlation coefficient is always............................

A. + 1
B. – 1
C. 0
D. Between + 1 and – 1
Answer» D. Between + 1 and – 1
30.

Spearman’s Rank Correlation Coefficient is usually denoted by....................

A. K
B. r
C. S
D. R
Answer» D. R
31.

Probable error is used to:

A. Test the reliability of correlation coefficient
B. Measure the error in correlation coefficient
C. Both a an b
D. None of these
Answer» A. Test the reliability of correlation coefficient
32.

If coefficient of correlation is more than ................of its P E, correlation is significant.

A. 2 times
B. 5 times
C. 6 times
D. 10 times
Answer» C. 6 times
33.

In correlation analysis, Probable Error = ........................ x 0.6745

A. Standard deviation
B. Standard error
C. Coefficient of correlation
D. None of these
Answer» B. Standard error
34.

Coefficient of concurrent deviation depends on .......................

A. The signs of the deviations
B. The magnitude of the deviations
C. Bothe a and b
D. None of these
Answer» A. The signs of the deviations
35.

Correlation analysis between two sets of data only is called....................

A. Partial correlation
B. Multiple correlation
C. Nonsense correlation
D. Simple correlation
Answer» D. Simple correlation
36.

Correlation analysis between one dependent variable with one independent variable by keeping the other independent variables as constant is called......................

A. Partial correlation
B. Multiple correlation
C. Nonsense correlation
D. Simple correlation
Answer» A. Partial correlation
37.

Study of correlation among three or more variables simultaneously is called.............

A. Partial correlation
B. Multiple correlation
C. Nonsense correlation
D. Simple correlation
Answer» B. Multiple correlation
38.

If r = 0.8, coefficient of determination is.....................................

A. 80%
B. 8%
C. 64%
D. 0.8%
Answer» C. 64%
39.

If r is the simple correlation coefficient, the quantity r2 is known as ...................

A. Coefficient of determination
B. Coefficient of non-determination
C. Coefficient of alienation
D. None of these
Answer» A. Coefficient of determination
40.

If r is the simple correlation coefficient, the quantity 1 -- r2 is known as ...................

A. Coefficient of determination
B. Coefficient of non-determination
C. Coefficient of alienation
D. None of these
Answer» B. Coefficient of non-determination
41.

The term regression was first used by..........................

A. Karl Pearson
B. Spearman
C. R A Fisher
D. Francis Galton
Answer» D. Francis Galton
42.

....................refers to analysis of average relationship between two variables to provide mechanism for prediction.

A. Correlation
B. Regression
C. Standard error
D. None of these
Answer» B. Regression
43.

If there are two variables, there can be at most ........................ number of regression lines.

A. One
B. Two
C. Three
D. Infinite
Answer» B. Two
44.

If the regression line is Y on X, then the variable X is known as..........................

A. Independent variable
B. Explanatory variable
C. Regressor
D. All the above
Answer» D. All the above
45.

Regression line is also called.................................

A. Estimating equation
B. Prediction equation
C. Line of average relationship
D. All the above
Answer» D. All the above
46.

If the regression line is X on Y, then the variable X is known as..........................

A. Dependent variable
B. Explained variable
C. Both a and b
D. Regressor
Answer» C. Both a and b
47.

If the regression line is X on Y, then the variable X is known as..........................

A. Dependent variable
B. Independent variable
C. Bothe a and b
D. None of the above
Answer» A. Dependent variable
48.

If the regression line is Y on X, then the variable X is known as..........................

A. Dependent variable
B. Independent variable
C. Both a and b
D. None of the above
Answer» B. Independent variable
49.

The point of intersection of two regression lines is..........................

A. (0,0)
B. (1,1)
C. (x,y)
D. (x̄ , ӯ)
Answer» D. (x̄ , ӯ)
50.

If r = ± 1, the two regression lines are...............................

A. Coincident
B. Parallel
C. Perpendicular to each other
D. None of these
Answer» A. Coincident
51.

If r = 1, the angle between the two regression lines is.........................

A. Ninety degree
B. Thirty degree
C. Zero degree
D. Sixty degree
Answer» C. Zero degree
52.

If r = 0, the two regression lines are:

A. Coincident
B. Parallel
C. Perpendicular to each other
D. None of these
Answer» C. Perpendicular to each other
53.

If bxy and byx are two regression coefficients, they have:

A. Same signs
B. Opposite signs
C. Either a or b
D. None of the above.
Answer» A. Same signs
54.

If byx > 1, then bxy is:

A. Greater than one
B. Less than one
C. Equal to one
D. Equal to zero
Answer» B. Less than one
55.

If X and Y are independent, the value of byx is equal to ........................

A. Zero
B. One
C. Infinity
D. Any positive value
Answer» A. Zero
56.

The property that both the regression coefficients and correlation coefficient have same signs is called................................

A. Fundamental property
B. Magnitude property
C. Signature property
D. None of these
Answer» C. Signature property
57.

The property that byx > 1 implies that bxy < 1 is known as .....................

A. Fundamental property
B. Magnitude property
C. Signature property
D. None of these
Answer» B. Magnitude property
58.

If X and Y are independent, the property byx = bxy = 0 is called ...................

A. Fundamental property
B. Magnitude property
C. Mean property
D. Independence property
Answer» D. Independence property
59.

The Correlation coefficient between two variables is the ........................... of their regression coefficients.

A. Arithmetic mean
B. Geometric mean
C. Harmonic mean
D. None of these
Answer» B. Geometric mean
60.

If the correlation coefficient between two variables, X and Y, is negative, then the regression coefficient of Y on X is.............................

A. Positive
B. Negative
C. Not certain
D. None of these
Answer» B. Negative
61.

The G M of two regression coefficients byx and bxy is equal to ..........................

A. R
B. r2
C. 1 – r2
D. None of these
Answer» A. R
62.

If one regression coefficient is negative, the other is ...............................

A. 0
B. – ve
C. +ve
D. Either a or b
Answer» B. – ve
63.

Arithmetic mean of the two regression coefficients is:

A. Equal to correlation coefficient
B. Greater than correlation coefficient
C. Less than correlation coefficient
D. Equal to or greater than correlation coefficient
Answer» B. Greater than correlation coefficient
64.

byx is the regression coefficient of the regression equation.....................

A. Y on X
B. X on Y
C. Either a or b
D. None of these
Answer» A. Y on X
65.

bxy is the regression coefficient of the regression equation.....................

A. Y on X
B. X on Y
C. Either a or b
D. None of these
Answer» B. X on Y
66.

In ..................... regression analysis, only one independent variable is used to explain the dependent variable.

A. Multiple
B. Non-linear
C. Linear
D. None of these
Answer» C. Linear
67.

The regression coefficient and correlation coefficient of the two variables will be the same if their .............................are same.

A. Arithmetic mean
B. Standard deviation
C. Geometric mean
D. Mean deviation
Answer» B. Standard deviation
68.

The idea of testing of hypothesis was first set forth by ..........................

A. R A Fisher
B. J Neyman
C. E L Lehman
D. A Wald
Answer» B. J Neyman
69.

By testing of hypothesis, we mean:

A. A significant procedure in Statistics
B. A method of making a significant statement
C. A rule for accepting or rejecting hypothesis
D. A significant estimation of a problem.
Answer» C. A rule for accepting or rejecting hypothesis
70.

Testing of hypothesis and ......................are the two branches of statistical inference.

A. Statistical analysis
B. Probability
C. Correlation analysis
D. Estimation
Answer» D. Estimation
71.

......................... is the original hypothesis

A. Null hypothesis
B. Alternative hypothesis
C. Either a or b
D. None of these
Answer» A. Null hypothesis
72.

A null hypothesis is denoted by...........................

A. H0
B. H1
C. NH
D. None of these
Answer» A. H0
73.

An alternative hypothesis is denoted by...........................

A. H0
B. H1
C. AH
D. None of these
Answer» B. H1
74.

Whether a test is one sided or two sided, depends on........................

A. Simple hypothesis
B. Composite hypothesis
C. Null hypothesis
D. Alternative hypothesis
Answer» D. Alternative hypothesis
75.

A wrong decision about null hypothesis leads to:

A. One kind of error
B. Two kinds of errors
C. Three kinds of errors
D. Four kinds of errors
Answer» B. Two kinds of errors
76.

Power of a test is related to ........................

A. Type I error
B. Type II error
C. Both a and b
D. None of these
Answer» B. Type II error
77.

Level of significance is the probability of................................

A. Type I error
B. Type II error
C. Both a and b
D. None of these
Answer» A. Type I error
78.

Which type of error is more severe error:

A. Type I error
B. Type II error
C. Both a and b
D. None of these
Answer» B. Type II error
79.

Type II error means..............................

A. Accepting a true hypothesis
B. Rejecting a true hypothesis
C. Accepting a wrong hypothesis
D. Rejecting a wrong hypothesis
Answer» C. Accepting a wrong hypothesis
80.

Type I error is denoted by...........................

A. Alpha
B. Beta
C. Gamma
D. None of these
Answer» A. Alpha
81.

Type II error is denoted by....................................

A. Alpha
B. Beta
C. Gamma
D. None of these
Answer» B. Beta
82.

The level of probability of accepting a true null hypothesis is called........................

A. Degree of freedom
B. Level of significance
C. Level of confidence
D. D,
Answer» C. Level of confidence
83.

The probability of rejecting a true null hypothesis is called.......................

A. Degree of freedom
B. Level of significance
C. Level of confidence
D. None of these
Answer» B. Level of significance
84.

1 – Level of confidence =.............................

A. Level of significance
B. Degree of freedom
C. Either a or b
D. None of these
Answer» A. Level of significance
85.

While testing a hypothesis, if level of significance is not mentioned, we take ................... level of significance.

A. 1%
B. 2%
C. 5%
D. 10%
Answer» C. 5%
86.

...............refers to the number of independent observations which is obtained by subtracting the number of constraints from the total number of observations.

A. Sample size
B. Degree of freedom
C. Level of significance
D. Level of confidence
Answer» B. Degree of freedom
87.

Total number of observations – number of constraints =......................

A. Level of significance
B. Degree of freedom
C. Level of confidence
D. Sample size
Answer» B. Degree of freedom
88.

Accepting a null hypothesis when it is false is called................................

A. Type I error
B. Type II error
C. Probable error
D. Standard error
Answer» B. Type II error
89.

Accepting a null hypothesis when it is true is called................................

A. Type I error
B. Type II error
C. Probable error
D. No error
Answer» D. No error
90.

When sample is small,....................... test is applied.

A. t-test
B. Z test
C. F test
D. None of these
Answer» A. t-test
91.

To test a hypothesis about proportions of items in a class, the usual test is..............

A. t-test
B. Z- test
C. F test
D. Sign test
Answer» B. Z- test
92.

Student’s t-test is applicable when:

A. The values of the variate are independent
B. The variable is distributed normally
C. The sample is small
D. All the above
Answer» D. All the above
93.

Testing of hypotheses Ho : μ = 45 vs. H1 : μ > 45 when the population standard deviation is known, the appropriate test is:

A. t-test
B. Z test
C. Chi-square test
D. F test
Answer» B. Z test
94.

Testing of hypotheses Ho : μ = 85 vs. H1 : μ > 85, is a ...................test.

A. One sided left tailed test
B. One sided right tailed test
C. Two tailed test
D. None of these
Answer» B. One sided right tailed test
95.

Testing of hypotheses Ho : μ = 65 vs. H1 : μ < 65, is a ...................test.

A. One sided left tailed test
B. One sided right tailed test
C. Two tailed test
D. None of these
Answer» A. One sided left tailed test
96.

Testing of hypotheses Ho : μ = 65 vs. H1 : μ ≠ 65, is a ...................test.

A. One sided left tailed test
B. One sided right tailed test
C. Two tailed test
D. None of these
Answer» C. Two tailed test
97.

Student’s t-test was designed by ............................

A. R A Fisher
B. Wilcoxon
C. Wald wolfowitz
D. W S Gosset
Answer» D. W S Gosset
98.

Z test was designed by ........................................

A. R A Fisher
B. Wilcoxon
C. Wald wolfowitz
D. W S Gosset
Answer» A. R A Fisher
99.

Z test was designed by .......................................

A. R A Fisher
B. Wilcoxon
C. Wald wolfowitz
D. W S Gosset
Answer» A. R A Fisher
100.

The range of F ratio is ........................................

A. – 1 to + 1
B. – ∞ to ∞
C. 0 to ∞
D. 0 to 1
Answer» C. 0 to ∞
Tags
Question and answers in Quantitative Techniques, Quantitative Techniques multiple choice questions and answers, Quantitative Techniques Important MCQs, Solved MCQs for Quantitative Techniques, Quantitative Techniques MCQs with answers PDF download