Which of the following is not a restricted random sampling technique?
A. Stratified sampling
B. Simple random sampling
C. Systematic sampling
D. Multi-stage sampling
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If 'p', 'g' and 'n' are probability of success, failure and number of trials respectively in a Binomial Distribution, what is its Standard Deviation?
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Arrange the following steps in sequence in constructing a frequency distribution.
1. The classes should be clearly defined and each observations should be included in only one of class interval.
2. Check that the number of classes should neither be too large nor too small.
3. Check that all class intervals are of same width.
4. List the value of the variable in different class interval.
Select the correct answer using the options given below
A. 1, 3, 2, 4
B. 1, 2, 3, 4
C. 1, 4, 3, 2
D. 2, 1, 3, 4
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In calculating the regression equation linking two variables, the standard formulae for the regression coefficients are given in terms of X and Y. Which of the following is true?
A. X must be the variable which will be forecast
B. It does not matter which variable is which
C. Y must be the dependent variable
D. Y must be the variable shown on the vertical axis of a scatter graph
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In a questionnaire, how many answers should be there for simple alternative questions?
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The null hypothesis of Kruskal-Wallis test is that the mean ranks of the groups are the same. The expected mean rank depends upon
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Find the value of x
2 (chi-square) for the following information.
Class
A
B
C
D
E
Observed Frequency
8
29
44
15
4
Expected Frequency
7
24
38
24
7
A. 6.06 approx
B. 6.76 approx
C. 7.02 approx
D. 5.05 approx
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The portion of the total area covered in a normal curve under x ± 2.54 σ is
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Not rejecting null hypothesis, when it is infact false is
A. type I error
B. type II error
C. two tailed error
D. None of the above
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Choose the most appropriate answer:
First hand data collected afresh for the purpose of statistical investigation is called:
A. Skewed Data
B. Symmetric Data
C. Primary Data
D. Statistical Data
E. Secondary Data
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In the Spearman's rank correlation coefficient, when the ranks are equal, the formula is
A. 1 − N 3 − N [ 6 ∑ D 2 + 2 1 ( m 2 − m ) + 2 1 ( m 2 − m ) + ..... ]
B. 1 − N 3 − N 6 [ ∑ D 2 + 12 1 ( m 3 − m 1 ) + 12 1 ( m 3 − m 2 ) + ..... ]
C. 1 − N 3 − N 2 1 [ ( m 3 − m ) + 2 1 ( m 3 − m ) + ..... ]
D. None of the above
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The formula for percentile range (P.R.) is
A. P90 - P10
B. P50 - P30
C. P75 - P25
D. None of these
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For a normal distribution
A. Mean > Mode > Median
B. Mean < Median < Mode
C. Mean > Median > Mode
D. Mean = Mode = Median
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The degree to which numerical data tend to spread about an average value called:
A. Constant
B. Flatness
C. Variation
D. Skewness
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Rank correlation coefficient is obtained by following the formula.
A. 1 − N 3 − N ∑ D 2
B. N ( N 3 − N ) 6 ∑ D 2
C. 1 − N ( N 2 − 1 ) 6 ∑ D 2
D. 1 + N ( N 3 − N ) 6 ∑ D 2
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Match the following.
List-I
List-II
a. Primary data
1. Representation of data in form of picture
b. Secondary data
2. The totality of things under consideration
c. Pictogram
3. Data collected by the investigator himself
d. Population
4. Data used by the investigator, which has already been collected by others
A. a-1, b-2, c-3, d-4
B. a-3, b-4, c-1, d-2
C. a-3, b-2, c-1, d-4
D. a-2, b-1, c-3, d-4
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For testing of hypothesis:
Ho: Mi = M2
Ha: Mi < M2
What should be the critical value of Z at 5% level of significance when size of sample is more than 30 is:
A. 1.96
B. 2.32
C. 1.645
D. 2.5758
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Cricketer 'A' scores on an average 40 runs with a standard deviation of 5. Scores of players 'B' and 'C', on an average, are 75 and 90 with standard deviations 10 and 18 respectively. Arrange the players in the descending order of consistency:
A. A, B and C
B. C, B and A
C. B, A and C
D. C, A and B
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In least squares regression, which of the following is not a required assumption about the error term E?
A. The expected value of the error term is one
B. The variance of the error term is the same for all values of x
C. The values of the error term are independent
D. The error term is normally distributed
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In a unimodal and symmetric distribution, the relationship between average is like this.
A. Mean > Median > Mode
B. Mean < Median > Mode
C. Mean = Median = Mode
D. Mean > Median < Mode
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