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​STATISTICS-PAGE 3


STATISTICS MCQ- PAGE 3

1:-A plan expressed in quantitative terms is known as
A:-Strategy

B:-Policy
C:-Procedure
D:-Budget

Ans: D

2:-For all normal goods, income elasticity of demand is
A:-Negative

B:-Equal to unity
C:-Positive

D:-None of the above
Ans: C


3:-Goods withdrawn by the proprietor for his personal use are
A:-Added to purchases

B:-Deducted from purchases
C:-Deducted from sales

D:-Treated as sales at cost price
Ans: B

4:-TQM's major emphasis is on
A:-Company profitability

B:-Customer delight
C:-Product quality

D:-Employee training
Ans: C


5:-Packing cost is an item of
A:-Distribution overhead

B:-Factory overhead
C:-Administrative overhead
D:-Selling overhead

Ans: D

6:-Civil liability of a company auditor is for
A:-Negligence

B:-Wilfully making a false statement
C:-Mis-statement in prospectus

D:-All of the above
Ans: A

7:-Pareto's law is concerned with

A:-JIT system
B:-FSN analysis
C:-VED analysis
D:-ABC analysis

Ans: D

8:-A company can purchase its own
A:-Equity shares

B:-Preference shares
C:-Debentures

D:-All the above
Ans: D

9:-360 degree method relates to

A:-Organization climate
B:-Performance appraisal
C:-Employee morale

D:-Retrenchment
Ans: B

10:-Which of the following is not a capital asset under capital gains head of income ?
A:-Stock in trade
B:-Goodwill of the business
C:-Agricultural land in Thiruvananthapuram city
D:-Jewellery

Ans: A

11:-Garner vs Murray relates to

A:-Deficiency
B:-Insolvency
C:-Contract

D:-Hire purchase
Ans: B

12:-Independent events A and B would be consistent with which of the following statements
A:-P(A) = .3, P(B) = .5, P(A ` nn` B) = .4

B:-P(A) = .4, P(B) = .5, P(A ` nn` B) = .2
C:-P(A) = .5, P(B) = .4, P(A ` nn` B) = .3
D:-P(A) = .4, P(B) = .3, P(A ` nn` B) = .5
Ans: B

13:-If each of two independent file servers has a reliability of 93% and either alone can run the web site, then the overall web site availability is
A:-0.9951
B:-0.8649
C:-0.9300
D:-0.9522
Ans: A

14:-A major airline company is concerned that its proportion of late arrivals has substantially increased in the past month. Historical data shows that on the average 18% of the company airplanes have arrived late. In a random sample of 1240 airplanes, 310 airplanes have arrived late. If we are conducting a hypothesis test of a single proportion to determine if the proportion of late arrivals has increased. What is the value of the calculated test statistic ?
A:-3.208
B:-6.416
C:--3.208
D:--6.416
Ans: B

15:-The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with a mean of 3.2 pounds and standard deviation of 0.84 pounds. If a sample of 16 fish is taken, what would the standard error of the mean weight equal ?
A:-0.200
B:-0.053
C:-0.210
D:-0.800
Ans: C

16:-A type I error occurs when we

A:-Reject a false null hypothesis B:-Reject a true null hypothesis
C:-Don't reject a false null hypothesis D:-Don't reject a true null hypothesis
Ans: B

17:-We have created a 95% confidence interval population mean for with the result (8, 13).
What conclusion will we make if we test `H_(0)` : population mean = 15 vs. `H_(1)` : population mean `!=` 15 at alpha =
0.05 ?
A:-Reject `H_(0)` in favor of `H_(1)`
B:-Accept `H_(0)` in favor of `H_(1)`

C:-Fail to reject `H_(0)` in favor of `H_(1)`
D:-We cannot tell what our decision will be from the information given.
Ans: A


18:-Given the correlation coefficient measuring the association between X and Y is 0.70, what can you say about the coefficient of determination ?
A:-0.49
B:-0.70
C:-0.90
D:-Cannot be determined
Ans: A


19:-According to a survey of the top 10 employers in a major city in the Midwest, a worker spends an average of 413 minutes a day on the job. Suppose the standard deviation is 25 minutes and the time spent is approximately a normal distribution. What are the times that approximately 95.45% of all workers will fall ?
A:-[388 438]
B:-[338 488]
C:-[363 463]
D:-[338 438]
Ans: C

20:-When using the normal distribution to obtain the bounds for a 99.73 percent of the values in a population, the interval generally will be __________  the interval obtained for the same percentage if Chebyshev's theorem is assumed (empirical rule).
A:-Wider than
B:-Narrower than
C:-The same as

D:-Greater than or less than (depending on the size of the SD)
​Ans: A
​21:-Find the value of m if the function f(x) =`{(3  if - oo < x< 1),(mx + 5  if 1 <= x < oo):}` is continuous at x = 1.
A:-8
B:-2
​C:--2
D:-3
Ans: C

22:-Which of the following real valued functions f : R `->` R is not differentiable at x = 0 ?
A:-f(x) = 3
B:-f(x) = |x|
C:-f(x) = |x - 1|
D:-f(x) = `e^(x)`
Ans: B

23:-If the complex function f is defined as f(z) = `(z)/(z-3)` find `int_(C)` f(z)dz if C is the circle
|z - 1| = 1.
A:-0
B:-2`pi`i
C:-3
D:-1
Ans: A

24:-Which of the following is not a solution of the differential equation y" - 5y' + 6y = 0 ?
A:-`e^(2x)`
B:-`e^(x)`
C:-0
D:-`2e^(2x) + e^(3x)`
Ans: B

25:-In which of the following intervals is the function f(x) = `2x^(3) - 3x^(2) + 2` is increasing ?
A:-(-`oo` , 1)
B:-(0, 1)
C:-(`(1)/(2)`, 2)
D:-(2, 3)
Ans: D

26:-How many generators are there for the cyclic group `Z_(4)` ?
A:-1
B:-2
C:-3
D:-4
Ans: B

27:-Find the value of `lim_(x->oo)` `(4x^(2)-5x+4)/(2x^(2)+x-2)`.
A:-`oo`
B:-0
C:--2
D:-2
Ans: D

28:-If the function f is continuous and `int^(2)_1`f(x)dx = 3 and `int^(4)_1` f(x)dx = 7 then the value of
`int^(4)_2` f(x)dx =
A:-4
B:--4
C:-10
D:--10
Ans: A

29:-Which of the following is not an eigen value of the matrix
`[[2 1  3],[0  1  0], [0  1  4]]`  ?
A:-1
B:-2
C:-3
D:-4
Ans: C

30:-` int^((pi)/(2)` `cos^(4)` x dx =` _0`
A:-`(pi)/(4)`
B:-`(pi^(2))/(16)`
C:-`(3pi^(2))/(16)`
D:-`(3pi^)/(16)`
Ans: D

31:-The smallest number with 15 divisors is
A:-5625
B:-324
C:-144
D:-2025
Ans: C

32:-The remainder when `2^(1000)` is divided by 17 is
A:-1
B:-3
C:-7
D:-16
Ans: A

33:-If `alpha` , `beta` d `gamma` are the roots of the `x^(3)+px^(2)+qx+r=0` then the value of `alpha^(2)+beta^2` `+ gamma^(2) =` ` `
A:-`p^(2)-2q`
B:-`p^(2)+2q`
C:-`-p^(2)+2q`
D:-`-p^(2)-2q`
Ans: A

34:-Which of the following pairs of vectors are perpendicular to each other ?
A:-3i + 4j - 5k and 4i + 3j + 2k B:-2i + 3j - k and 3i + 2j + k
C:-2i - 3j + k and 2i + 3j + k D:-4i + 3j - 2k and i + 4j + 8k
Ans: D

35:-If Z represents the set of all integers and +,. represents usual addition and multiplication of integers respectively, which of the following is not a group ?
A:-(Z, +)
B:-(Z, .)
C:-(Z - {0}, .)
D:-None of these
Ans: B
36:-If tan A = `(1)/(5)` and tan B = `(2)/(3), ` then A + B =
A:-` `30°
B:-60°
C:-90°
D:-45°
Ans: D

37:-If `((n),(3))` = `((n),(15))`, then n =
A:-12
B:-18
C:-5
D:-None of these
Ans: B

38:-The local maximum point of the function f(x) = `x^(3)-3x^(2)-9x+4` is at
A:-x = 1
B:-x = -3
C:-x = -1
D:-x = 3
Ans: C

39:-Which of the following is true about the real function f(x) = [x], -5 `<=` x `<=` 5 ?
A:-f(x) is a continuous function
B:-lim f(x) exist at x = 0
C:-f(x) has only finitely many discontinuities
D:-f(x) has infinitely many discontinuities
Ans: C

40:-The period of the function f(x) = sin 2x is
A:-`pi`
B:-`(pi)/(2)`
C:-`(pi)/(4)`
D:-`2pi`
Ans: A

41:-The absolute value of the cross elasticity of demand of two goods X and Y are zero, then the goods are
A:-Substitutes
B:-Complementary
C:-Independent
D:-None of the above
Ans: C

42:-Which one of the following is a measure of monopoly power of the firm ?
A:-Lerner Index
B:-Fisher Index
C:-Herfindahl Index
D:-Human Development Index
Ans: A

43:-The absolute value of the slope of the isoquant is called
A:-Marginal rate of substitution
B:-Marginal rate of productivity
C:-Marginal rate of product transformation
D:-Marginal rate of technical substitution
Ans: D

44:-Which of the following degree of price discrimination is a case of charging a different price in different markets?       
A:-First degree
B:-Second degree
C:-Third degree
D:-Fourth degree
Ans: C

45:-Economic values expressed in current prices are termed as
A:-Real values
B:-Nominal values
C:-Deflator
D:-Constant price
Ans: B

46:-The interest rate is determined by the intersection between the supply of loanable funds and the demand for loanable funds is given by
A:-Keynes
B:-Keynesians
C:-Neoclassicals
D:-Post Keynesians
Ans: C

47:-The purchasing power parity theory is associated with
A:-W. W. Leonitief
B:-Gustav cassel
C:-J. B. Say
D:-Alexander Hamilton
Ans: B

48:-The long run supply curve of a decreasing cost industry under perfect competition is
A:-Horizontal
B:-Vetical
C:-Positively sloped
D:-Negatively sloped
Ans: D

49:-The book 'Development as Freedom' is written by
A:-Jagdish Bhagwati
B:-Amartya Sen
C:-Vakil and Brahmananda
D:-C. Rangarajan
Ans: B

50:-The 'ratchet' effect is related to which of the following consumption hypothesis
A:-Permanant income hypothesis
B:-Life cycle hypothesis
C:-Relative income hypothesis
D:-Absolute income hypothesis
Ans: C

51:-Equal treated equally in taxation leads to
A:-Vertical equity
B:-Horizontal equity
C:-Real equity
D:-None of these
Ans: B

52:-Gilt-edged market deals with
A:-Currency notes
B:-Gold
C:-Silver
D:-Govt. securities
Ans: D

53:-Which one of the following are the cost of inflation ?
A:-Menu costs
B:-Shoe leather costs
C:-Reduction in standard of living
D:-All the above
Ans: D

54:-The ratio of the change in the overall money supply to a given change in the monetary base is called
A:-Money multiplier
B:-Required reserve ratio
C:-Deposit ratio
D:-Income multiplier
Ans: A

55:-If the accommodating capital is zero in the balance of payments of a country, there will be
A:-Deficit in the balance of payments
B:-Surplus in the balance of payment
C:-Equilibrium in the balance of payments
D:-Disequilibrium in the balance of payments
Ans: C

56:-The rate at which RBI borrows from commercial banks is called
A:-Call money rate
B:-Bank rate
C:-Repo rate
D:-Reverse Repo rate
Ans: D

57:-NITI Aayog is a replacement of
A:-Planning Commission
B:-Finance Commission
C:-Social Justice Commission
D:-Poverty Eradication Commission
Ans: A

58:-Which one of the following is not a part of outside money ?
A:-Bank deposit
B:-Currency in circulation
C:-Gold
D:-Foreign exchange
Ans: A

59:-Which of the following is the condition of shut down point of a firm ?
A:-Price equals average total cost
B:-Price equals average variable cost
C:-Price equals average fixed cost
D:-Total cost equals total revenue
Ans: B

60:-The law of increasing state activity was propounded by
A:-Adolf Wagner
B:-Musgrave
C:-Collin Clark
D:-Keynes
Ans: A

61:-Which principle has important bearing on the capital revenue classification ?
A:-Principle of consistency
B:-Principle of full disclosure
C:-Principle of materiality
D:-Principle of conservatism
Ans: C

62:-Which of the following is used for International monetary transfer ?
A:-SWIFT
B:-NEFT
C:-RTGS
D:-None of the above
Ans: A

63:-Who developed the 4Ps of marketing ?
A:-Peter F Drucker
B:-Hanson
C:-McCarthy
D:-Abraham Maslow
Ans: C

64:-Assets appearing in the books but not having any real value are known as
A:-Fictitious assets
B:-Intangible assets
C:-Wasting assets
D:-All the above
Ans: A

65:-Employee morale relates to
A:-Experience
B:-Productivity
C:-Empathy
D:-Attitude
Ans: D

66:-Which of the following documents defines the scope of the company's activities ?
A:-Articles of association
B:-Memorandum of association
C:-Prospectus
D:-Statutory declaration
Ans: B

67:-Which of the following items is not taken into account while computing quick ratio ?
A:-Cash
B:-Bank overdraft
C:-Bank balance
D:-Sundry creditors
Ans: B

68:-The first mutual fund scheme in India was introduced by
A:-Government of India
B:-Reserve Bank of India
C:-Unit Trust of India
D:-State Bank of India
Ans: C

69:-"Student" word may be used for
A:-t-test
B:-Z-test
C:-F-test
D:-None of these
Ans: A
70. Skewness is the tendency of distribution depart from symmetry around the
A) Mean B) Mode
C) Median D) Standard deviation
Ans: A
 
71. Co-efficient of correlation is numerically marked as
A) X B) N C) M D) R
Ans: D
 
72. The formula for calculating mode
A) 3 Median-2 Mean B) 3 Mean-2 Median
C) Arithmatic Mean/Median D) Mean/Standard Deviation
Ans: A

73. Average of difference of the Values of items from sum average of the series is called : 
(a) Mode   (b) Mean deviation  (c) Standard deviation   (d) Skewness
 Ans: B

74. Highest value of an item in a series – lowest level of an item in the series denotes
(a) Median (b) Range (c) Mode  (d) Mean
Ans: B

75. Correction in Chi-Square test was suggested by
(a) F. Yates (b) Prof. Fischer (c) Baker, R.P.  (d) Ackaff Russel
 Ans: A

76. Which of the following is correct ? 
(a) Scaling is a procedure of assigning numbers to various degrees of opinion & attitude. 
(b) Rating scale is a scaling technique. 
(c) Itemised rating scale is a scaling.  
(d) All of the above
 Ans: D

77. Which of the following is correct ? 
(a) Sample design must be such that create small sampling error. 
(b) Sample design must be viable to fund available. 
(c) Sample design must result in a true representative sample.  
(d) All of the above
  Ans: D

78. Which of these is related to research objectives ? 
(a) To gain information with a regard to a phenomenon. 
(b) To portray with regard to characteristics of an individual or group situation. 
(c) To test hypothesis of relationship between variables.  
(d) All of the above
  Ans: D

79. Which of the following is true ? 
(a) Hypothesis should be consistent with most known facts. 
(b) Hypothesis should not be consistent with most known facts. 
(c) The scope of hypothesis should be unlimited.  
(d) None of the above
  Ans: A

80. Which of the following is correct ? 
(a) Hypothesis should state relationship between variables. 
(b) Hypothesis should be testable. 
(c) Hypothesis should have been limited scope and must be specific.  
(d) All of the above
 Ans: D

81. In determining sample size following should be considered : 
(a) Nature of Universe  (b) Nature of Study  (c) Availability of Finance  (d) All of the above
Ans: D

82. Which of the following sampling method is based on probability ? 
(a) Convenience sampling (b) Quota sampling  (c) Judgement sampling  (d) Stratified sampling

 Ans: D

83. In research methodology, SPSS stands for what ? 
(a) Source Package for Special Science 
(b) Statistics Processing Special Software 
(c) Statistical Package for Social Science 

(d) Simple Program for Social Science
Ans: C

84.  In hypothesis testing, type-I error stands for what ? 
(a) False Positive   (b) False Negative  (c) Either of the two  (d) None of the two

 Ans: A

85.  Identify the statistical tool through which a researcher estimates the unknown value of a variable from the known value of another variable. 
(a) Regression (b) Correlation (c) Diversion  (d) Enumeration

 Ans: A

86. What would be the standard deviation if in a series, the co-efficient of variation is 20 and the mean value is 40 ? 
(a) 2 (b) 3 (c) 9  (d) 8

 Ans: D
87. In research methodology probability ranges from ________ to ________. 
(a) –1 to +1 (b) 1 to 9 (c) 0 to 1  (d) –9 to +9

 Ans: C

88.  A statistical measure of the degree to which two variables move together : 
(a) Co-efficient of variation (b) Variance  (c) Co-variance    (d) Certainty equivalent

 Ans: C
89. Which one of the following averages can be applied only to quantitative variables ? 
(1) Mean and Median (2) Mode and Mean  (3) Median and Mode (4) None of the above
 Ans: 1

90. Standard deviation is generally measured in terms of deviation from 
(1) Mode (2) Median  (3) Mean (4) All of the above
 Ans: 3

91. Chi square ( χ2) test of significance is applicable to 
(1) two quantitative variables only.  (2) two qualitative variables only. 
(3) one qualitative variable and another quantitative variable.  (4) any types of combination of two variables.
 Ans: 4

92. Which one of the following measures of average can be applied to qualitative data ?
 (1) Mean
 (2) Median
 (3) Mode 
(4) All the above

 Ans: 3
 
93. Standard deviation is a measure of :
 (1) Dispersion around Mode
 (2) Dispersion around Mean
 (3) Dispersion around Mode and Mean
 (4) Dispersion around Median and Mode
 Ans: 2
 
94. Case study aims at :
 (1) Qualitative analysis of a unit
 (2) Quantitative analysis of a unit
 (3) Both Qualitative and Quantitative analysis
 (4) Qualitative and detailed analysis of all aspects of a unit 
 Ans: 4
95. The value of variable which occurs most frequently is called as-
A) Mean B) Mode C) Median D) Weighted Mean
Ans: B
 
96. Variance is-
A) The square root of variation of values B) The coefficient of variation of values
C) The reciprocal of mean of standard deviation D) The square of standard deviation

Ans: D
 
97. The average of the absolute deviations taken from centrol value is called as
A) Mean deviation B) Standard deviation
C) Coefficient of variation D) Range

Ans: A

98. When value of one variable changes while other variable remains constant, it is known as
A) Negative correlation B) Direct correction
C) Positive correction D) Independent

Ans; 4
 
99. If Q1 = 5, Q2 = 10 and Q3 = 20, the quartile deviation will be
A)  15
B) 25
C) 7.5
D) 30

Ans: C

100. Which of the following would you regard as discrete variable
A) Height
B) Time
C) Wages paid to workers
D) Number of children in a family

Ans: D
​​
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