Saturday 28 July 2012

MB0040, Statistics for Management, MBA-1



Statistics for Mgmt
1. A common misconception is that is a statistician is simply a ‘number cruncher’ or a person who calculates
and summarizes number. (T/F)
2. The word statistics is derived from the Latin word status, which means state a political state.
3. In plural form, it stands for numerical facts per tainting to a collection of objects. (T/F)
4. In singular form, it stands for the science of collections organization, analysis and interpretation of
numerical facts. (T/F)
5. A.L. Boddingtons defined statistics as “The science of estimates and probabilities”. (T/F)
6. A study of characteristics of units of a population by using statistical device and techniques is called:
1. Statistical Investigation 2. Statistical Survey
3. Statistical Carriers 4. Conclusion Collection
7. Primary data are the fresh data collected directly from the field. They are first – hand data. (T/F)
8. Secondary data are the data which the investigator does not collect directly from the field. They are the data
which the borrows from others who have collected them for some other purpose. (T/F)
9. The collection of data depends mainly on proper drafting of the questionnaire.
1. Drafting Schedule 2. Mail enquiry
3. Informants 4. Principle
10. Pilot survey is a small trial Survey (Survey of a new units) undertaken before the main survey is
conducted. (T/F)
11. Classification is a systematic grouping of the units according to their common characteristics. So units
having common characteristics are grouped together each of these groups is called.
1. Class 2. Group
3. Logically arranged 4. Instructions
12. Tabulation is a systematic arrangement of classified data in raw & columns of a table. (T/F)
13. Range is the set of all possible values of the variable.
14. A frequency distribution in which class intervals are considered is a continuous (grouped) frequency
distribution. (T/F)
15. Each class interval is specified by two limit Which are called class limits. (T/F)
16. The case of an inclusive class interval, first of all, it should be converted into the exclusive type. (T/F)
17. Frequency distribution of a single variable is called Univariate frequency distribution. (T/F)
18. A histogram is the simplest form of graphical presentation. (T/F)
19. Frequency polygon is another way of depicting a frequency distribution in form of a graph. (T/F)
20. Drawing a frequency polygon does not necessary require constructing a histogram first. (T/F)
21. A cumulative frequency curve popularly known as ogive. (T/F)
22. Arithmetic mean of a set of values is obtained by dividing the sum of the value by the number of values in
the set. (T/F)
23. Median of a set of value is the middle most value, when they are arrangement in the ascending order of
magnitude. (T/F)
24. Mode is the value, which has the highest frequency. (T/F)
25. For a frequency distribution, there are three quartiles. They divide the distribution into four quarters. (T/F)
26. The first quartile is also called lower quartile. The third quartile is called upper quartile. (T/F)
27. Variation (dispersion) is the property of deviation of values from the average. (T/F)
28. Range is the difference between the highest and the lowest values in the data. (T/F)
29. Events are said to be mutually exclusive if one only one of them can take place at a time. (T/F)
30. Event is described as one or more of the possible outcomes of doing something.
31. Classical probability is also called a
1. Priori 2. Exhaustive
3. Dependent 4. Event
32. If two events are mutually exclusive, their parts of the rectangle will not overlap each other. (T/F)
33. A marginal or unconditional probability is the simple probability of the occurrence of an event. (T/F)
34. The probability that A will occur given that B has occurred and P(AB) is “the probability that both A and
B will occure”. And the marginal probability P(A) is the probability that A will occur, whether or not B
happens.
35. The subjective approach to assigning probabilities was introduced in 1926 by Frank Ramsey in his book,
the foundation of Mathematics and other Logical Essays. (T/F)
36. The probability of scoring a penalty shot in hockey is 0.47 (RF/S)
37. The probability of getting two sixes in rolling of two dice is (1/36) (C/S)
38. The probability that the current minister will resign is 0.85 (S/RF)
39. The probability that you will go abroad this year is 0.14 (S/RF)
40. The probability that the minister elected to office in a year ending with zero will not last in office is 7/10.
(RF/Sub)
41. A marginal or unconditional probability is the simple probability of the occurrence of an event. (T/C)
42. The probability of the two or more independent events occurring together or in succession in the product
of their marginal probability.
P(AB) = P(A) x P(B)
1. Joint 2. Marginal
3. Conditional 4. Subjective
43. Event B and A are statistically independent the conditional probability can be written as
P(B/A) = P(B)
Or
P(A/B) = P/A (T/F)
44. The binomial distribution describes discrete, not continuous, date, resulting from an experiment
known as ___________Process.
Ans. Bernoulli
45. The Probability of r successes in n trial is given as:
n!
r!(n-r)! P r q n-r (T/F)
46. ___________ to, resort because of two primary reasons namely:
Time and Cost.
1. Sampling 2. Stata
3. Statistics 4. Estimate
47. A _________is a characteristic of a sample: a parameter is a characteristic of a population.
48. ___________selects samples by methods that allow each possible sample to have an equal
probability of being picked and each item in the entire population to have an equal chance of being
included in the sample.
49. In _________is a population in which it is the oretically impossible to observe all the element.
50. In ___________ elements are selected from the population at a uniform interval that is measured in
time, order, space.
51. In __________, we divide the population into relatively homogenous groups called ______.
52. In cluster sample, we divide the population into ____________ and then select a random sample of
these clusters.
53. A probability distribution of all the possible means of the samples is a distribution of the sample
means. Statisticians call this is a ___________of the mean.
54. The standard deviation of the distribution of sample static is known as the___________ of the
statistic.
55. Statistical inference is based on __________ and_____________.
56. A___________is a single number that is used to estimate unknown population parameters.
57. An _____________ is a range of values used to estimate a population parameter.
58. __________refers to the size of the standard error of the statistic
59. The probability that we associate with an interval estimate is called the confidence level.
60. An _________ is a number, which is used to measure the level of a certain phenomenon as
compared to the level of the same phenomenon at some ______________
61. Index number represent the relative changes are
1. Expressed in number
2. Expressed in Percentage
3. Relative measure.
4. Average
62. Implicit Method:
Several varieties of a certain type of commodity.
63. __________ the weights are laid down on the basic of tone outward evidence of importance of
commodities.
64. ___________ is based on fixed weights of the base year.
65. ___________is based on current years quantities.
66. Current year’s quantities are used as weights.
67. Fisher’s Ideal India number is the Geometric Mean of the Laspeyre’s and Paasche’s Index
numbers.
68. The __________ numbers are very easy to calculate.
69. __________in business depends upon successful forecasts of business events.
70. __________has always been necessary.
71. Forecast by reference to past history and statistics rather then by pure intuition and __________
72. _____________ refers to the analysis of past and present economic condition.
73. __________ in business depends on correct predictions.
74. One of the basic principles of statistical forecasting is that the forecaster should use the ________
on _______________
75. The __________ in the light of understanding of the reason change occur.
76. Business indices are the indicators of future conditions, so they are also known as
________________
77. ___________analysis is also used for the purpose of making business forecasting.
78. The _____________ offers many valuable contributions to the solution of the forecasting problem.
79. Srivastava UK Shenoy GV and Sharma SC in their book “Quantitative Techniques for managerial
Decision” have started that_______________ is the statistical technique.
80. Co-efficient of correlation is denoted by r.
81. Karl pearsoni coefficient of correlation. Formula.
a. r = _ x y b. r = x y
_ _x2 – y2 _ _x2 _2
c. r = x .y d. r = x y
_ (_x)2 – (_y)2 _ _x2
82. Rank Correlation
a.) R = 1 _ 6_D2 or 1 _ 6_D2
N(N2-1) N3-N
b.) R = 1 + 6_D2
N(N2-1)
c.) R = 1 _ _D2
N2-1
d.) R = 1 _ _D2
N3-N
83. Three dice are thrown simultaneously. Find the probability that:
(i) All of them show the same face
a. 1 b. 1 c. 1 d. 1
36 6 5 4
(ii) all show distinct bases.
a 5 b 4 c 5 d 9
9 9 5 9
(iii) two of them show the same face.
a 5 b 6 c 5 d 10
12 12 10 12
84. Find the probability that in a random arrangement of the letters of the word “UNIVERSITY” the
two is come together.
a 1 b 10 c 9 d 1
5 2 2 6
85. If persons are seated on a round table, what is the probability that two named individual will be
neighbors?
a 2 b 2.n c 2n d 2-n
n-1 n-1 n n-1
86. A five digit number is formed by the digit 1, 2, 3, 4, 5 without repetition. Find the probability that
the number is divisible by 4.
a 1 b 1 c 1 d 1
5 4 24 8
87. The adds in favour of an event are 3:5. Find the probability of occurrence of this event.
a. 3 b 1 c 5 d 3
8 8 8 5
88. A card is drawn from an ordinary pack of 52 cards and a gambler bets that it is a spade or an ace.
What are the odds against his winning this bet?
a 4 b 9 c 13 d 14
13 4 2 13
89. A die is thrown, find the probability of getting?
a 1 b 1 c 2 d 1
2 3 2 4
90 A, B, C are three mutually exclusive and exhaustive events associated with an random
experiments. Find P(A), it being given that P(B)= 3 P(A) and
1
P(C)= 1 P(B).
2
a 4 b 3 c 12 d 13
13 4 13 4
91 One number is chosen from number 1 to 200. find the probability that it is divisible by 4 and 6?
a 65 b 67 c 62 d 64
200 200 200 200
92 A card is drawn from a deck of 52 cards. Find the probability is getting a king or a heart or a red
card.
a. 6 b 7 c 5 d 6
13 13 13 14
93 Two dice are thrown together. What is the probability that the sum of the numbers on the two face
is divisible by 3 or 4?
a 3 b 4 c 5 d 2
9 9 9 9
94 A die is thrown twice and the sum of the numbers appearing is observed to be 6. what is the
conditional probability that the number 4 has appeared at least once?
a 4 b 3 c 1 d 2
5 5 5 5
95 Find the probability of drawing a diamond card in each of the two consecutive draws from a wellshuffled
pack of cards if the card drawn is not replaced after the first draw.
a 1 b 1 c 1 d 1
12 17 15 16
96 If P(not A) = 0.7, P(B) = 0.7 and P (B/A) = 0.5. then find P(A/B) and P(AUB).
a 0.55 b 0.65 c 0.85 d 0.45
97. A bag contains 5 white, 7 red and 4 black balls. Four balls are drawn one by one with replacement, what is
the probability that none is white?
a. 11/16 b. (11/16)4 c. 16/11 d. [ 11/16]2
98. A class consists of 80 students: 25 of them are girls and 55 boys: 10 of them are rich and the remaining
poor; 20 of them are four complexioned. What is the probability of selecting a fair complexioned rich girl?
a. 4/512 b. 6/512 c. 5/512 d. 2/512
99. A bag contains 3 red and 5 black balls and a second bag contain 6 red and 4 black balls. A balls is draw
from each bag. Find the probability that both are (i) Red (ii) Black
100. A policeman fires four bullets on a dacoit. The probability that the dacoit will be killed by one bullet is
0.6. What is the probability that the dacoit is still alive?
a. 0.004096 b. 0.004095 c. 0.04059 d. 0.0469
101. Two dice are thrown. Find the probability of getting an odd number on the first dice and a multiple of
3 on the other.
a. 1/2 b. 1/6 c. 1/3 d. 6/1
102. The odds against A solving a certain problem are 4 to 3 and the odds in favour of B the same problem are
1 to 5. Find the probability that the problem will be solved.
a. 16/21 b. 16/20 c. 15/21 d. 14/21
103. Two cards are drawn without replacement from well stuffed pack of 52 cards. Find the probability
that one is a space and other is a queen of red color.
a. 1/50 b. 1/51 c. 1/49 1/52
104. Calculate the correlation co-efficient from the following results:
n=10, _x=140, _y=150, _ (x-10)2 =180, _ (y-15)2= 215 and _ (x-15) (y-15)=60
a. 0.9151 b. 0.8151 c. 0.7151 d. 0.9215
105. Calculate the variance and co-efficient of variation.
a. x= _ _fd2/N-(_fd/N)2 xi , C.V = s/x b. x= _ (_fd)2/N-_fd/N xi
c. x = _ _fd/N-_fd/N xi d. x= _ _f2/N- _fd2/N xi
106. Fishers ‘Ideal’ Method Define which is correct.
a. Po1 = _ _p1qo/_poqo X _p1q1/_poq1 X 100 b. Po1 = _ _po/_qo X _po/_qo X 100
c. Po1 = _ _poq1/_qo X _po/_qo X 100 d. Po1 = _ _poqo/_poqo X _p1q1/_po X 100
107. Marshall – Edge worth Method:
a. Po1 = _( qo+q1) p1/_(q0+q1) po X 100 b. Po1 = _(qo+q1) P1/_(qo) po X 100
c. Po1 = _(q1+qo) q1/_(qo) (po) (qo) X 100 d. None of these
108. Event is a possible outcome of an experiment or a result of a trial or an observation. (T/F)
109. Height of six students are 163, 173, 168, 156, 162 and 165 cms. Find the arithmetic mean.
a. 164.5 cms b. 164 c. 166 d. 165.1
110. In a one day cricket match, a bowler bowls 8 overs. He gives away 3, 5, 12, 0, 4, 1, 3, 7 runs in these
overs. Find the mean run rate per over.
a. 43.75 b. 4.375 c. 43.7 d. 437.5
111. The following is the frequency distribution of wage of workers of a factory. Find the arithmetic mean.
a. 129 b. 128 c. 120 d. 121
112. The mean ( x ) of marks scored by 30 girls of a class is 44%. The mean for 50 boys is 42%. Find the
mean for whole class.
a. 40.27% b. 41.27% c. 42.75% d. 42.7%
113. For continuous frequency distribution the median is:
a. M= 1 + [[N/2-m] x c] b. M= L [N/2-m x c]
f f
c. M= L+ [N/2-M x C] d. None of the above
f
114.For the mode the formula as:
a. Z= 1+ [(f-f1) x c] b. Z= 1+ [f-f1 x c]
2f-f1 x c f1 f1-f2
c. Z= 1+ [(f-f1) x c] d. Z= 1+ [(f-f1) x c]
2f1–f1-f2 2f-f1-f2
115. Find the geometric mean of 1, 4, 16.
a. 3 b. 4 c. 9 d. 16
116. Find the geometric mean of 1.03, 1.04, 1.06, 1.08.
a. 1.040 b. 1.070 c. 1.40 d. 1.70
117. Define it.
a. Mode = 3 Median – 2 Mean b. Mode = Median – 3 Mean
c. Mode = 3 Mean – 2 Mode d. None of above
118. Find the formula of Range:
a. R = H-L b. R = H-2L c. R = 2H-L d. R = H-2L
119. Describe three type of probability.
a. Classical approach b. Relative frequency approach
c. Subjective approach d. All of the above
120. The sample space is a set of all possible outcomes of an experiment.
a. S b. E c. E d None of the above
121. Suppose the probability of dialing a wrong number is 0.05. Then, what is the probability of dialing
exactly 3 wrong numbers in 100 dials?
a. 0.14 b. 0.15 c. 0.4 d. 0.16
122. Suppose there are 8 persons from whom we have to select samples of size 3. How many samples can be
selected?
a. 56 b. 57 c. 53 d. 99
123. A group of 10 students are to be divided into 2 groups of 5 each and seated two tables. How many
different ways are there of dividing the 10 students?
a. 200 b. 252 c. 201 d. 250
124. At a dinner party 12 guests had been invited. They are to be divided into 2 groups of 6 each and seated
at 2 tables. In how many different who is these guests can be seated?
a. 900 b. 920 c. 924 d. 921
125. A measurement of each element in a group or population of interested?
a. Census b. Area c. Sampling d. Population
126. Population having a stated or ltd size.
a. Finite population b. Infinite population c. Judgment d, Parametic
127. A sampling method in which a sample is drawn in such a way that it is systematically spread over all the
elements of population.
a. Stratified sampling b. Systematic sampling c. Sampling error d. Sample
128. A method of determine correction when the data are not available in numerical form and as a n attractive
method of ranking is used.
a. Rank correction b. Linear relationship c. Scatter diagram d. None of the above
129. Analysis of statistical data in concerned with the question of whether there is a relationship between two
variables.
a. Co-efficient of variables b. Correlation analysis c. Inverse analysis d. None of the above
130. A Plot of the paired observations X and Y that shows abroad pattern of relationship between the Two
variables
a. Graph b. Directed graph c. Scatter diagram d. None of the above
131. A relationship between two variables showing that their movements are in the same direction.
a. Direct relationship b. Undirectionship c. Linear relationship d. None of the above
132. A method that uses past data to estimate the relationship between two variables.
a. Regression b. Regression line c. Slope d. Standard line
133. Regression co-efficient the slope ‘b’ of the regression equation. Y=a+bx (T/F)
134. A nonparametric test that a concerned with the degrees of agreement between a set of observed ranks
(Sample Values) and a theoretical frequency distribution.
a. Kolmogorav – Smirnev test b. Kurskal – wall is test
b. Mann – Whitney U test d. All of the above
135. Data arranged in relation to time. Such data have four components trend, cycle, seasonal, irregular
movements.
a. Time series b. Seasonal index c. Forecasting d. None of the above
136. An index that links up different fixed base indices to obtain a long comparable series.
a. Chain index number b. Index number c. Defaulting number d. All of the above
137. An index that measures the change in value between two or more periods of time.
a. Value index b. Weighted index c. Relative method d. All of the above
138. Index that compares the change in the price or quantity of a single item between two or more periods of
time.
a. Quantity index b. Simple index number c. Price index d. None of the above
Answers
1. T 3. T 4. T 5. T 6. 1 7. T 8. T
10. T 11. 1 12. T 14. T 15. T 16. T 17. T
18. T 19. T 20. T 21. T 22. T 23. T 24. T
25. T 26. T 27. T 28. T 29. T 31. 1 32. T
33. T 35. T 36. RF 37. C 38. S 39. S 40. RF
41. T 42. 3 43. T 44. Bernoulli 45. T 46. 1 47. Statistic
48. Simple random sampling 49. Infinite 50. Systematic sampling
51. Stratified sampling 52. Groups or clusters 53. Sampling distribution
54. Standard error 55. Estimation and hypothesis testing 56. Point estimate
57. Interval estimate 58. Efficiency 60. Index number 61. Express in number
62. Implicit Method 63. Explicit Method 64. Laspeyre’s method 65. Paasche’s Method
68. Value index 69. Success 70. Forecasting 71. Guess work
72. Business forecasting 73. Success 74. Past Performance 75. Data are analyzed
76. Business Barometers 77. Time series 78. Regression approach 79. Correction analysis
81. A 82. A 83. A 84. A 85. A 86. A 87. A
88. A 89. A 90. A 91. B 92. B 93. C 94. D
95. B 96. C 97. B 98. C 99. A 101. B 102. A
103. B 105. A 106. A 108. T 109. A 110. B 111. A
112. C 113. A 114. A 115. B 116. A 117. A 118. A
119. D 121. A 122. A 123. A 124. B 126. A 127. B
128. A 129. B 131. A 132. A 133. T 134. A 135. A
136. A 137. A 138. B


2 comments:

  1. Madam answers of 6th, 7th ,9th are missing could u pls post it

    ReplyDelete