HPSSC STATISTICAL ASSISTANT QUESTION PAPER
1. Correlation varies from –1 to
(A) +1
(B) +3
(C) 0
(D) None of these
2. Which is a small test ?
(A) T-test
(B) Correlation
(C) Probability
(D) Error
3. Null hypothesis is expressed by
(A) H1
(B) H0
(C) H2
(D) None of these
4. Regression of X and Y can be expressed by
(A) a + b = X – Y
(B) X = a + bY
(C)X/Y = a + b
(D) None of these
5. Which is used to test hypothesis concerning variance ?
(A) Regression
(B) Correlation
(C) Average
(D) F-distribution
6. Which is a type of sample ?
(A) Quota
(B) Value
(C) Fit test
(D) Standard error
7. Dependent term is used in
(A) Average
(B) Correlation
(C) Demand
(D) All of these
8. Ranking method is a tool of
(A) Correlation
(B) Average
(C) Mode
(D) Probability
9. Regression means
(A) To return back
(B) Less
(C) To cut down
(D) Value
10. Regression of x upon y can be expressed by
11. Which of the following is used for test of goodness of fit ?
(A) Chi-square test
(B) t-test
(C) Z-test
(D) F-test
12. Which of the following is/are based on probability theory ?
(A) Decision theory
(B) Sampling theory
(C) Games theory
(D) All of these
13. What is the chance of drawing a queen from a pack of 52 cards ?
(A)1/9
(B)1/13
(C)1/52
(D) None of these
14. A bag contains 10 white and 6 red balls. What is the probability of drawing a white ball ?
(A)5/8
(B)6/8
(C)3/8
(D)2/8
15. Probability includes
(A) Simple events
(B) Equally likely events
(C) Dependent events
(D) All of these
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16. 8P3 can be expressed by
(A) 8!/(8 – 3)!
(B)8!/3!
(C)(8 – 3)!/8!
(D) None of these
17. In how many ways we can arrange 4 books in a book shelf ?
(A) 23
(B) 24
(C) 26
(D) 30
18. In how many ways can the letters of the word ‘RIGHT’ be arranged ?
(A) 120 ways
(B) 18 ways
(C) 17 ways
(D) 100 ways
19. What is the probability of getting either 1 or 3 from the throw of a dice ?
(A) 1/3
(B)3/6
(C)4/3
(D)6/7
20. Which of the following statistical method may be used for quality control ?
(A) Range
(B) Mean
(C) Median
(D) Mode
21. Systematic sampling belongs to
(A) quota sampling
(B) non-probability sampling
(C) probability sampling
(D) None of these
22. Non-sampling error occur at the time of
(A) observation
(B) approximation
(C) processing of data
(D) All of these
Directions (Q. 23 to 32) : Use the following information to answer :
In 2000, out of a total of 3500 workers of a factory 2400 were members of a trade union. The number of women employed was 400 out of which 350 did not belong to a trade union. In 2005, the number of union workers increased to 3160 of which 2580 were men. On the other hand, the number of non-union workers fell down to 416 of which 360 were men. In 2012, there were 3600 employees, who belonged to a trade union and 100, who did not belong to a trade union, of all the employees in 2010, 600 were women, of which only 16 did not belong to trade union.
23. In 2000 total number of workers (male + female), who were not members of trade union
(A) 750
(B) 950
(C) 1100
(D) 1200
24. In 2000 total number of male workers were
(A) 2200
(B) 3100
(C) 3200
(D) 3400
25. In 2000 number of male workers, who did not belong to a trade union
(A) 750
(B) 950
(C) 1100
(D) 1150
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26. In 2000 number of female workers who are member of trade union
(A) 25
(B) 50
(C) 100
(D) 75
27. In 2000 number of male workers, who are member of trade union
(A) 2200
(B) 2350
(C) 2300
(D) 2400
28. In 2005 number of female workers, who did not belong to a trade union
(A) 36
(B) 56
(C) 59
(D) 86
29. In 2005 number of female workers, who are member of trade union
(A) 380
(B) 580
(C) 660
(D) 980
30. In 2010 number of male workers, who not belong to a trade union
(A) 84
(B) 584
(C) 3016
(D) 5016
31. In 2010 number of female workers, who are member of trade union
(A) 284
(B) 364
(C) 584
(D) 496
32. In 2010 number of male workers, who are member of trade union ?
(A) 2896
(B) 3010
(C) 3016
(D) 3200
33. Positional average is/are
(A) Mean
(B) Median
(C) Mode
(D) Both (B) and (C)
34. Range limit can be expressed as
(A) R = L + S
(B) R = (L + S)/2
(C) R = L – S
(D) None of these
35. Which of the following statistical measure is based on all observations ?
(A) Harmonic mean
(B) Range
(C) Mode
(D) None of these
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36. Which of the following can be calculated from a cumulative frequency curve ?
(A) Geometric mean
(B) Harmonic mean
(C) Median
(D) Mode
37. Which of the following is a relative measure of dispersion ?
(A) Variance
(B) Co-efficient of variation
(C) Both (A) & (B)
(D) None of these
38. The most commonly used measure of dispersion is
(A) Range
(B) Standard Deviation
(C) Coefficient of Variation
(D) Quartile Deviation
39. The model class is a class with
(A) highest frequency
(B) lowest frequency
(C) no frequency
(D) None of these
40. If the first and third quartile is 40 and 80 respectively, the median is
(A) 60
(B) 50
(C) 45
(D) 70
41. The range based on middle 50% of the observations is called
(A) quartile deviation
(B) interquartile deviation
(C) interquartile range
(D) None of these
42. For symmetrical distribution which of the following is true ?
(A) Median – Q1 = Q3 – Median
(B) Mode – Q1 = Q3 – Median
(C) Mean – Q1 = Q3 – Mode
(D) None of these
43. Arithmetic mean of a group of 100 items is 50 and of another group of 150 items is 100. What will be the mean of all items ?
(A) 75
(B) 100
(C) 80
(D) None of these
44. Given mode = 22 and Median = 214. Find out the average mean.
(A) 21.1
(B) 21.4
(C) 22.1
(D) 22.4
45. In a moderately asymmetrical distribution, the mode and mean are 42 and 40 respectively. The median is
(A) 39
(B) 40.67
(C) 38
(D) 41.02
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46. Which of the following is a relative measure of dispersion ?
(A) Standard Deviation
(B) Variance
(C) Coefficient of Variation
(D) None of these
47. Arithmetic mean of 98 items is 50. Two items 60 and 70 were left out at the time of calculation. What will be the correct mean of all the items ?
(A) 50.2
(B) 50.3
(C) 49.9
(D) 50.9
48. Curve of normal distribution is
(A) Symmetrical
(B) Perfectly symmetrical
(C) Asymmetrical
(D) None of these
49. Not rejecting null hypothesis, when it is in fact false is
(A) Type I error
(B) Type II error
(C) Two tailed error
(D) None of these
50. The level of significance is the probability of committing
(A) Type I error
(B) Type II error
(C) Type III error
(D) None of these
51. Chi-square test is based on
(A) Frequencies
(B) Mean
(C) Standard Deviation
(D) All of these
52. Yates has suggested a correction in chi-square value, when cell frequencies are
(A) large
(B) small
(C) uniform
(D) None of these
53. T-test was developed by
(A) RA Fisher
(B) William Gosset
(C) Karl Pearson
(D) None of these
54. Which one among the following is a small sample ?
(A) 5
(B) 10
(C) 29
(D) All of these
55. Which of the following test is used to test the significance of the coefficient of association ?
(A) Z-test
(B) T-test
(C) Chi-square test
(D) F-test
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56. The total area of a normal distribution between the average value +- 1.96 of standard deviation is
(A) 95%
(B) 99%
(C) 100%
(D) None of these
57. Goodness of fit of a distribution is tested by
(A) T-test
(B) Chi-square test
(C) F-test
(D) None of these
58. F-test is a
(A) Probability test
(B) Variance test
(C) Factor analysis
(D) None of these
59. Elastic demand is
(A) greater than one
(B) less than one
(C) equal to one
(D) zero
60. The nature of cross price elasticity of demand in case of complementary products will be
(A) positive
(B) negative
(C) Both (A) and (B)
(D) zero
61. What is the nature of elasticity of demand for luxury item like high class furnitures ?
(A) Unit elastic
(B) Highly elastic
(C) Fairly elastic
(D) Zero elastic
62. Which of the following does not influence the individual demand for a product ?
(A) Price of product
(B) Price of close substitute
(C) State of production technology
(D) Change of climatic condition
63. The elasticity of demand for luxury good is
(A) infinite
(B) more than one
(C) less than one
(D) equal to one
64. Calculate the elasticity of demand when a 60% increase in the price of rice causes the amount of rice you buy to fall by 120%.
(A) 2
(B) 4
(C) 6
(D) 8
65. Which one of the following is not a type of demand ?
(A) Price demand
(B) Derived demand
(C) Supply demand
(D) Joint demand
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66. When the income elasticity of demand is greater than unity, the commodity is
(A) a necessity
(B) a luxury
(C) inferior good
(D) non-related good
67. If the demand curve is a rectangular hyperbola, elasticity is
(A) 1
(B) 0
(C) infinity
(D) less than 1
68. In general, the demand for necessaries is relatively
(A) inelastic
(B) elastic
(C) unity
(D) None of these
69. Price determination is profitable and possible if the two markets have
(A) equal elasticity of demand
(B) different elasticity of demand
(C) inelastic demand
(D) highly elastic demand
70. The area which lies under the demand curve for a given good measures
(A) marginal utility
(B) marginal cost
(C) marginal profit
(D) total utility
71. At point of satiety, marginal utility is
(A) zero
(B) positive
(C) maximum
(D) negative
72. On the maximum level of satisfaction of good A, the marginal utility of
good A will be
(A) positive
(B) negative
(C) zero
(D) infinity
73. The equilibrium level of output for the pure monopolist is where
(A) MR = MC
(B) MR < MC
(C) MR > MC
(D) None of these
74. Of the following goods, the one where the law of diminishing marginal utility is least likely to apply is
(A) water
(B) cigarettes
(C) toothpaste
(D) rap music
75. Which of the following is one of the basis for the indifference curve analysis ?
(A) Independent utility
(B) Ordinal utility
(C) Cardinal utility
(D) Diminishing utility
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76. When marginal utility is negative, then total utility
(A) increases
(B) decreases
(C) is zero
(D) is negative
77. A consumer consuming two goods will be in equilibrium, when the marginal utilities from both goods are
(A) maximum possible positive
(B) minimum possible positive
(C) equal
(D) zero
78. Total production will be maximum when
(A) marginal production is maximum
(B) average production is maximum
(C) marginal production is zero
(D) None of these
79. Selling cost is necessary under
(A) pure monopoly
(B) perfect competition
(C) imperfect monopoly
(D) None of these
80. Monopolist can fix
(A) both price and output
(B) either price or output
(C) neither price nor output
(D) none of these
81. Price determination will always lead to
(A) increase in output
(B) decrease in output
(C) no change in output
(D) None of these
82. Consumers are likely to get maximum variety of goods under
(A) Imperfect competition
(B) Monopoly
(C) Perfect competition
(D) Oligopoly
83. A shift in supply will have a bigger effect on price than output, if demand is
(A) income elastic
(B) income inelastic
(C) price elastic
(D) price inelastic
84. If the price was fixed below the equilibrium price there would be
(A) excess supply
(B) excess demand
(C) equilibrium
(D) downward pressure on prices
85. The price mechanism cannot
(A) act as a signal
(B) act as an incentive
(C) act as a rationing device
(D) shift the demand curve
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