Which of the following relating to normal distribution are not correct?
(i) Co-efficient of skewness is three.
(ii) It is mesokurtic.
(iii) Mean deviation for it is 3 2 σ.
(iv) µ ± 2σ covers 94.45% area.
(v) Mean, median and mode are equal.
(vi) The standard normal variate z has mean one and SD zero.
A. (i), (iii) and (vi)
B. (iii), (iv) and (v)
C. (i), (iii) and (v)
D. (i), (iii) and (iv)
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If A is a perfect subset of B and P(a < Pb), then P(B - A) is equal to:
A. P(a)/P(b)
B. P(a) × P(b)
C. P(a) + P(b)
D. P(b) - P(a)
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The income of 5 persons are as follows
Person
Income per month (Rs.)
Ram
1,500
Shyam
1,700
Mohan
2,000
Aryan
5,000
Krishna
6,000
Types of above series . . . . . . . .
A. individual series
B. discrete series
C. continuous series
D. time series
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Under binomial distribution, a random experiment performed repeatedly . . . . . . . . and . . . . . . . . number of times.
A. infinite, fixed
B. finite, fixed
C. infinite, variable
D. finite, variable
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Classification of the students of a college in two categories 'rural' and 'urban' is called
A. Qualitative classification
B. Quantitative classification
C. Geographical classification
D. None of these
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The correlation coefficient will have a positive sign when
A. X is increasing and Y is decreasing
B. Both X and Y are increasing
C. X is decreasing and Y is increasing
D. There is not change in the values of X and Y
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In a moderately asymmetrical distribution, the mode and mean are 42 and 40, respectively. The median is
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The coefficient of correlation:
A. is the square of the coefficient of determination
B. is the square root of the coefficient of determination
C. is the same as r-square
D. can never be negative
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If the coefficient of determination is equal to 1, then the correlation coefficient:
A. must also be equal to 1
B. can be either -1 or +1
C. can be any value between -1 to +1
D. must be -1
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Statistics means
A. Data only
B. Statistical method only
C. Both of the above
D. None of the above
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Which of the following is studied in statistics?
A. Numerical facts
B. Qualitative facts
C. Both of the above
D. None of the above
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Match the following.
List-I
List-II
a. Positive correlation
1. When two or more variables are involved and they are to be studied in relation to their relationship with one another
b. Multiple correlation
2. When ratio of change between two variables is uniform
c. Linear correlation
3. When relationship of two variables is studied by eliminating the effect of other variables from both
d. Partial correlation
4. When movement of variables take place in same direction
A. a-4, b-1, c-2, d-3
B. a-1, b-2, c-3, d-4
C. a-3, b-2, c-4, d-1
D. a-2, b-3, c-1, d-4
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There are 1000 people living in a colony in which the number of educated people is 450 and the number of employed people is 300. 160 out of employed people are educated. The number of uneducated unemployed in the colony is
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Which of the following sampling methodology statements do you agree with?
A. Always choose the method most suited to the problem, irrespective of all other factors
B. The rarer the population, the larger the sample size should be
C. Sample size is more important than sample methodology
D. We should use probability method for the important business decision
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The population mean μ is called:
A. Discrete variable
B. Continuous variable
C. Parameter
D. Sampling unit
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Which statistical test should be applied to test the effectiveness of 'special coaching' on the marks scored by the students?
A. Paired f test
B. Chi-square test
C. Z-test
D. F test
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Obtaining too many males in your sample would be an example of which of the following types of survey errors?
A. Measurement error
B. Coverage error
C. Sampling error
D. Non-response error
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Probability of rejecting the null hypothesis when it is true, is called
A. type II error
B. type I error
C. standard error
D. None of these
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Among the following, choose the most suitable 'test' that can be applied to examine the influence of one factor on different groups
A. 't' test
B. 'F' test
C. 'Chi-square' test
D. None of the above
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With reference to dispersion, which of the following statement is/are correct?
(1) Relative measures of dispersion are independent of units of measurement of data
(2) Standard deviation can be negative
Choose the correct answer from the options given below
A. Only 1
B. Only 2
C. Both 1 and 2
D. Neither 1 nor 2
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