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260+ Quantitative Techniques Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Master of Commerce (M.com) , Bachelor of Commerce (B Com) .

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 ∞

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