Chi-square is to be applied only, when the individual observations of sample are
A. dependent
B. independent
C. Both A and B
D. Neither A nor B
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If sum of the product of deviations of x and y series from their means, i.e., Σxy is zero, the coefficient of correlation shall be
A. +1
B. 0
C. -1
D. None of these
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Consider the following statements.
Assertion (A): A reasonably sized sample drawn randomly from large sized population contains almost all the characteristics which exist in the population.
Reason (R): The theory of sampling is based on the two important laws of statistics, viz., Law of statistical regularity and law of inertia of large numbers.
A. Both (A) and (R) are correct and (R) is the complete explanation of (A)
B. Both (A) and (R) are correct, but (R) is not the complete explanation of (A)
C. (A) is not correct, while (R) is correct
D. Both (A) and (R) are not correct
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Probable error in statistics is obtained by
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When a researcher uses a telephone directory to select the respondents for a opinion poll, he is following . . . . . . . .
A. sequential sampling
B. convenience sampling
C. judgement sampling
D. None of these
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Study the following information:
Covariance between X and Y series = -17.8
Standard deviation of X series = 6.6
Standard deviation of Y series = 4.2
Number of pairs of observation = 20
The coefficient of correlation is
A. -0.642
B. 0.642
C. 0.253
D. -0.253
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Coefficient of quartile deviation is calculated by
A. 4 Q 3 − Q 1
B. 2 Q 3 + Q 1
C. Q 3 − Q 1 Q 3 + Q 1
D. Q 3 + Q 1 Q 3 − Q 1
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Choose the correct answer for the following statements being correct or incorrect.
Statement I If the value of β 2 i.e. σ 4 μ 4 , of a distribution gives the value more than 3, its curve is platykurtic.
Statement II In a moderately asymmetrical distribution, the standard deviation is 1.25 times of mean deviation.
A. Both the statements are correct
B. Both the statements are incorrect
C. Statement I is correct, but Statement II is incorrect
D. Statement II is correct, but Statement I is incorrect
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In a symmetric frequency distribution-
A. X > M > Z
B. X = M = Z
C. X < M < Z
D. X ⩽ M ⩽ Z
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The less than and more than cumulative frequency plot should intersect at the . . . . . . . . of the data.
A. mean
B. median
C. mode
D. All of these
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The correlation coefficientis used to determine:
A. a specific value of the y-variable given a specific value of the x-variable
B. a specific value of the x-variable given a specific value of the y-variable
C. the strength of the relationship between the x and y variables
D. none of these
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Weighted averages are considered when
A. the data are not classified
B. the data are put in the form of grouped frequency distribution
C. all the observations are not of equal importance
D. Both A and C
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"Statistics is the king of sciences" who said?
A. Pareta
B. King
C. Bowley
D. Fisher
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Which one relation is not true?
A. Z = 3 M − 2 X
B. M = 3 1 ( 2 X − Z )
C. X = 2 1 ( 3 M − Z )
D. X = 3 1 ( 2 M − Z )
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Two common forms of statistical inference are
A. estimation
B. null hypothesis tests of significance
C. Both A and B
D. None of the above
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Match the following.
List-I
List-II
a. β 1
1. β 2 − 3
b. β 2
2. μ 2 3 μ 3 2
c. γ 1
3. μ 2 2 μ 4
d. γ 2
4. β 1
A. a-1, b-3, c-4, d-2
B. a-3, b-2, c-1, d-4
C. a-1, b-2, c-3, d-4
D. a-2, b-3, c-4, d-1
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If Σx = 12, Σy = 42, Σx2 = 46, Σy2 = 542, Σxy = 157 and n = 4, find the correlation coefficient.
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If two events (both with probability greater than 0) are mutually exclusive, then:
A. They also must be complements
B. They also could be complements
C. They cannot be complements
D. None of the above
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When the regression coefficient is positive the other will be
A. Negative
B. Zero
C. Positive
D. None of these
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In a normal distribution the points of inflexion occur at . . . . . . . .
A. X + σ
B. X + 2 σ
C. X + 3 σ
D. None of these
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