Statistic for Management
PART A
Q.1
|
_____
assumes a constant percentage increase each
year |
|
A)
|
Arithmetic
trend
|
|
B)
|
Semi
Log trend
|
|
C)
|
Modified
Exponential Curve
|
|
D)
|
Logistic
Curve
|
Q.2
|
_____
is a type of correlation
|
|
A)
|
Positive
|
|
B)
|
Partial
| |
C)
|
Multiple
|
|
D)
|
All
of the above
|
Q.3
|
T\here
are _____ percentiles for a frequency
distribution |
|
A)
|
4
|
|
B)
|
16
|
|
C)
|
99
|
|
D)
|
100
|
Q.4
|
One
of the requirements for using _____ is that the
probability of the outcome must be fixed over time |
|
A)
|
Binomial
Theorem
|
|
B)
|
Bernoulli
Process
|
|
C)
|
Binomial
Distribution
|
|
D)
|
None
of the above
|
Q.5
|
There
are _____ methods of selecting samples from
populations |
|
A)
|
2
|
|
B)
|
3
|
|
C)
|
4
|
|
D)
|
6
|
Q.6
|
_____
Correlation is used in a situation where three
and four variables involved |
|
A)
|
Positive
|
|
B)
|
Partial
|
|
C)
|
Rank
|
|
D)
|
All
of the above
|
Q.7
|
The
branch of Statistics which deals with problems in
Biology is _____ |
|
A)
|
Demography
|
|
B)
|
Biometry
|
|
C)
|
Bio-Informatics
|
|
D)
|
Bio-Graph
|
Q.8
|
_____
theory proceeds on the analysis of interplay
of current economic forces |
|
A)
|
Sequence
|
|
B)
|
Cross
Cut Analysis
|
|
C)
|
Economic
Rhythm
|
|
D)
|
Specific
Historical
|
Q.9
|
The
central value around which there is
concentration is called measure of _____ |
|
A)
|
Central
Tendency
|
|
B)
|
Class
Interval
|
|
C)
|
Frequency
Distribution
|
|
D)
|
None
of the above
|
Q.10
|
When
we observe numerical data at different points
of time the set of observations in known as _____ |
|
A)
|
Time
Sequence
|
|
B)
|
Time
Series
|
|
C)
|
Sequence
|
|
D)
|
Series
|
Q.11
|
_____
is used in testing the goodness of fit of a
theoretical distribution |
|
A)
|
a2
|
|
B)
|
x2
|
|
C)
|
y2
|
|
D)
|
z2
|
Q.12
|
_____
is known as general Index of business activity
which refers to weighted or composite indices of individual Index business activities |
|
A)
|
Barometers
relating to general business activities
|
|
B)
|
Business
Barometers for specific business or industry
|
|
C)
|
Business
Barometers concerning to individual business firm
|
|
D)
|
All
of the above
|
Q.13
|
In
_____, we infer something about a population
from information taken from a sample |
|
A)
|
Statistical
Inference
|
|
B)
|
Estimation
|
|
C)
|
Sampling
|
|
D)
|
Prediction
|
Q.14
|
Whenever
we reject the hypothesis, the conclusion
we do accept is called the _____ hypotheseis |
|
A)
|
Null
|
|
B)
|
Zero
|
|
C)
|
Choice
|
|
D)
|
Alternative
|
Q.15
|
If
the Long Term Trend Curve is _____, that is called
a trend line |
|
A)
|
Straight
Line
|
|
B)
|
Parabolic
|
|
C)
|
Rounded
|
|
D)
|
All
of the above
|
Q.16
|
_____
correlation method is developed by the British
Psychologist Charles Edward Spearman in 1904 |
|
A)
|
Positive
|
|
B)
|
Partial
|
|
C)
|
Rank
|
|
D)
|
All
of the above
|
Q.17
|
The
normal probability distribution is often called the
_____ |
|
A)
|
Binomial
Theorem
|
|
B)
|
Bernoulli
Process
|
|
C)
|
Gaussian
Distribution
|
|
D)
|
Binomial
Distribution
|
Q.18
|
The
_____ interval is the range of the estimate we
are making |
|
A)
|
Efficient
|
|
B)
|
Class
|
|
C)
|
Coefficient
|
|
D)
|
Confidence
|
Q.19
|
These
agents who collect and hand over information
to the investigator are _____ |
|
A)
|
Investigator
|
|
B)
|
Informants
|
|
C)
|
Respondents
|
|
D)
|
Enumerators
|
Q.20
|
A
_____ probability can take on only a limited
number of values, which can be listed |
|
A)
|
Discrete
|
|
B)
|
Continuous
|
|
C)
|
Either
A) or B)
|
|
D)
|
None
of the above
|
Q.21
|
Classification
of units on the basis of a single
characteristic is called as _____ classification |
|
A)
|
Simple
|
|
B)
|
One-way
|
|
C)
|
Either
A) or B)
|
|
D)
|
Mani-fold
|
Q.22
|
A
_____ is an estimate based solely in past data of
the series under investigation |
|
A)
|
Forecast
|
|
B)
|
Production
|
|
C)
|
Projection
|
|
D)
|
Prediction
|
Q.23
|
The
probability of two or more independent events
occurring together or in succession is the _____ of their marginal probabilities |
|
A)
|
Product
|
|
B)
|
Difference
|
|
C)
|
Reciprocal
|
|
D)
|
Aggregate
|
Q.24
|
The
primary purpose of _____ is to measure relative
temporal or cross-sectional changes in a variable or a group of related variables which are not capable of being directly measured |
|
A)
|
Correlation
Number
|
|
B)
|
Regression
Number
|
|
C)
|
Index
Number
|
|
D)
|
Value
Relative
|
Q.25
|
In
_____ sampling, we divide the population into
groups and then select a random sample of these groups |
|
A)
|
Systematic
|
|
B)
|
Stratified
|
|
C)
|
Cluster
|
|
D)
|
Random
|
Q.26
|
_____
survey is a small trial survey (survey of a few
units) undertaken before the main survey is conducted |
|
A)
|
Pre
|
|
B)
|
Proto
|
|
C)
|
Pilot
|
|
D)
|
Prototype
|
Q.27
|
_____
sampling differs from simple random sampling
in that each element has an equal chance of being selected but each sample does not have an equal chance of being selected |
|
A)
|
Systematic
|
|
B)
|
Stratified
|
|
C)
|
Cluster
|
|
D)
|
Random
|
Q.28
|
The
sample observations should be _____
distributed |
|
A)
|
Independently
|
|
B)
|
Normally
|
|
C)
|
Both
A) and B)
|
|
D)
|
Proportionately
|
Q.29
|
.
_____ exists when the probability of some event is
dependent on or affected by the occurrence of some other event |
|
A)
|
Mutually
Exclusive Events
|
|
B)
|
Independent
Event
|
|
C)
|
Statistical
Dependence
|
|
D)
|
None
of the above
|
Q.30
|
_____
always begins with zero at the meeting point
of the two axes |
|
A)
|
Horizontal
Axis
|
|
B)
|
Vertical
Axis
|
|
C)
|
Rectangular
Bar
|
|
D)
|
Vertical
Bar
|
Q.31
|
In
general, _____ is the chance something will
happen |
|
A)
|
Probability
|
|
B)
|
Statistics
|
|
C)
|
Trigonometry
|
|
D)
|
Possibility
|
Q.32
|
The
ratio V1 / V0 x 100 = p1q1 / p0q0 x 100 is called
_____ |
|
A)
|
Price
Relative
|
|
B)
|
Production
Relative
|
|
C)
|
Quantity
Relative
|
|
D)
|
Value
Relative
|
Q.33
|
The
Example of Quantitative Characteristic is _____
|
|
A)
|
Height
of a person
|
|
B)
|
Weight
of an apple
|
|
C)
|
Both
A) and B)
|
|
D)
|
Colour
of a person
|
Q.34
|
Total
Variance = _____
|
|
A)
|
Variance
between the samples + Variance within the samples
|
|
B)
|
Variance
between the samples - Variance within the samples
|
|
C)
|
Variance
between the samples / Variance within the samples
|
|
D)
|
Variance
between the samples * Variance within the samples
|
Q.35
|
Identity
the correct formula
|
|
A)
|
P(A’)
= 1 + P (A)
|
|
B)
|
P(A’)
= 1 – P (A)
|
|
C)
|
P(A)
= 1 – P (A’)
|
|
D)
|
P(A)
= 1 + P (A’)
|
Q.36
|
_____
refers to the size of the standard error of the
statistic |
|
A)
|
Unbiasedness
|
|
B)
|
Efficiency
|
|
C)
|
Consistency
|
|
D)
|
Sufficiency
|
Q.37
|
The
relationship between the shape of the
population distribution and the shape of the sampling distribution of the mean is called the _____ theorem |
|
A)
|
Binomial
|
|
B)
|
Frequency
|
|
C)
|
Baye’s
|
|
D)
|
Central
Limit
|
Q.38
|
When
the probability of the occurrence of an event
is dependent on, or effected by in some way the occurrence of another event or some other event, then the events are known to be _____ |
|
A)
|
Mutually
Exclusive
|
|
B)
|
Independent
|
|
C)
|
Statistically
Dependent
|
|
D)
|
None
of the above
|
Q.39
|
_____
tests enable us to test whether more than
two population proportions can be considered equal |
|
A)
|
Chi-square
|
|
B)
|
F
|
|
C)
|
Variance
Ratio
|
|
D)
|
Hypothesis
|
Q.40
|
Probability
of the event A is expressed as _____
|
|
A)
|
P
(A)
|
|
B)
|
P.
A.
|
|
C)
|
P
(A’)
|
|
D)
|
AP
|
Q.41
|
_____
assumes that each increment of growth will
be a constant per cent of the previous one |
|
A)
|
Arithmetic
trend
|
|
B)
|
Semi
Log trend
|
|
C)
|
Modified
Exponential Curve
|
|
D)
|
Logistic
Curve
|
Q.42
|
The
assumption we wish to test is called the _____
hypothesis |
|
A)
|
Null
|
|
B)
|
Zero
|
|
C)
|
Choice
|
|
D)
|
Alternative
|
Q.43
|
_____
is the difference between the highest and the
lowest values in the data |
|
A)
|
Range
|
|
B)
|
Class
Interval
|
|
C)
|
Frequency
|
|
D)
|
None
of the above
|
Q.44
|
_____
theory is based on the assumption that most
of the business data have the lag and lead relationships |
|
A)
|
Sequence
|
|
B)
|
Cross
Cut Analysis
|
|
C)
|
Economic
Rhythm
|
|
D)
|
Specific
Historical
|
Q.45
|
The
Geometric mean of n values is the nth root of
the _____ of the values |
|
A)
|
Product
|
|
B)
|
Difference
|
|
C)
|
Reciprocal
|
|
D)
|
Aggregate
|
Q.46
|
_____
is the “science of data†a science that will
enable us to become proficient data producers and efficient data users |
|
A)
|
Statistics
|
|
B)
|
Database
|
|
C)
|
Aggregate
|
|
D)
|
Probability
|
Q.47
|
_____
is/are used to measure the strength of
relationships between variable |
|
A)
|
Correlation
|
|
B)
|
Regression
|
|
C)
|
Both
A) and B)
|
|
D)
|
None
of the above
|
Q.48
|
Frequency
distribution of a single variable is called
_____ frequency distribution |
|
A)
|
Univariate
|
|
B)
|
Multivariate
|
|
C)
|
Bivariate
|
|
D)
|
All
of the above
|
Q.49
|
Early
theoretical work on ‘_____’ distributions was
done by W. S. Gosset |
|
A)
|
t
|
|
B)
|
f
|
|
C)
|
g
|
|
D)
|
h
|
Q.50
|
The
middle most value of a class interval is called
_____ |
|
A)
|
Class
mid-value
|
|
B)
|
Class
mark
|
|
C)
|
Either
A) or B)
|
|
D)
|
None
of the above
|
Q.51
|
The
assumption used in Hypothesis Testing when
population is not known is, use the t distribution whenever the: |
|
A)
|
Sample
size is less than 30
|
|
B)
|
Population
SD is not known
|
|
C)
|
Population
is normal or approximately normal
|
|
D)
|
All
of the above
|
Q.52
|
_____
is the means by which we select from among
the many possible relationships between variables in a complex economy those which will be useful for forecasting |
|
A)
|
Business
Barometers
|
|
B)
|
Time
Series Analysis
|
|
C)
|
Extrapolation
|
|
D)
|
Regression
Analysis
|
Q.53
|
The
set of all possible outcomes’ of an experiment is
called the “_____†for the experiment |
|
A)
|
Event
|
|
B)
|
Probability
|
|
C)
|
Possibility
|
|
D)
|
Sample
Space
|
Q.54
|
_____
is a statistical measure which is designed to
express changes or differences in a variable or a group of related variables, usually expressed in percentage form |
|
A)
|
Correlation
Number
|
|
B)
|
Regression
Number
|
|
C)
|
Index
Number
|
|
D)
|
Value
Relative
|
Q.55
|
_____
is the appropriate measure for averaging
growth rates |
|
A)
|
H.
M.
|
|
B)
|
Mean
|
|
C)
|
Median
|
|
D)
|
G.
M.
|
Q.56
|
SSE
= _____
|
|
A)
|
SST
+ SSC - SSR
|
|
B)
|
SST
– SSC - SSR
|
|
C)
|
SST
– SSC + SSR
|
|
D)
|
SST
+ SSC + SSR
|
Q.57
|
ANOVA
stands for
|
|
A)
|
Analysis
over variable
|
|
B)
|
Analysis
of variable
|
|
C)
|
Analysis
over variance
|
|
D)
|
Analysis
of variance
|
Q.58
|
_____
data are the data which the investigator does
not collect directly from the field |
|
A)
|
Primary
|
|
B)
|
Secondary
|
|
C)
|
Field
|
|
D)
|
Indirect
|
Q.59
|
‘History
repeats itself’ is the main foundation of
_____ theory |
|
A)
|
Sequence
|
|
B)
|
Cross
Cut Analysis
|
|
C)
|
Economic
Rhythm
|
|
D)
|
Specific
Historical
|
Q.60
|
The
range of correlation coefficient is from _____ +1
|
|
A)
|
-1
|
|
B)
|
0
|
|
C)
|
-8
|
|
D)
|
-16
|
Q.61
|
For
a raw data and for a discrete distribution, the r
th Quartile is: |
|
A)
|
[r
(n+1) / 4] th
|
|
B)
|
[r
(n-1) / 4] th
|
|
C)
|
[r
(n+1) * 4] th
|
|
D)
|
[r
(n-1) * 4] th
|
Q.62
|
A
variable which assumes all the values in the range
is a _____ variable |
|
A)
|
Discrete
|
|
B)
|
Continuous
|
|
C)
|
Isolated
|
|
D)
|
Separated
|
Q.63
|
The
harmonic mean of n values is the ______ of the
arithmetic mean of the reciprocals of the given values |
|
A)
|
Product
|
|
B)
|
Difference
|
|
C)
|
Reciprocal
|
|
D)
|
Aggregate
|
Q.64
|
The
_____ of a set of values is the positive squareroot
of mean of the squared deviations of the values from their arithmetic mean |
|
A)
|
A.M.
|
|
B)
|
G.
M.
|
|
C)
|
H.
M.
|
|
D)
|
Standard
Deviation
|
Q.65
|
A
tabular presentation of frequency distribution is
called _______ |
|
A)
|
Frequency
Table
|
|
B)
|
Class
Intervals
|
|
C)
|
Continuous
Distribution
|
|
D)
|
Discrete
Distribution
|
Q.66
|
A
_____ test of a hypothesis will reject the null
hypothesis if the sample mean is significantly higher than or lower than the hypothesized population mean |
|
A)
|
One
tailed
|
|
B)
|
Two
tailed
|
|
C)
|
Left
tailed
|
|
D)
|
All
of the above
|
Q.67
|
We
use _____ when it is not possible to count
|
|
A)
|
Complete
Enumeration
|
|
B)
|
Census
|
|
C)
|
Sampling
|
|
D)
|
Survey
|
PART B
Q.1
|
State
the True points with respect to chi-square
tests 1. Chi-square x2 tests are used only for the equality of several proportions 2. If we classify a population into several categories with respect to two attributes (such as age and |
|
A)
|
1-T,
2-T
|
|
B)
|
1-T,
2-F
|
|
C)
|
1-F,
2-T
|
|
D)
|
1-F,
2-F
|
Q.2
|
The
True points with regards to Cross-Cut Analysis
are: 1. This theory proceeds on the analysis of interplay of current economic forces 2. In this method, the combined effects of various factors are not studied 3. Under this theory |
|
A)
|
1
and 2
|
|
B)
|
2
and 3
|
|
C)
|
1
and 3
|
|
D)
|
1,
2 and 3
|
Q.3
|
Heights
of six students are 163, 173, 168, 156, 162
and 165 cms. Find the arithmetic mean. |
|
A)
|
164.5
cms
|
|
B)
|
197.4
cms
|
|
C)
|
164.3
cms
|
|
D)
|
198.3
cms
|
Q.4
|
The
assumptions used in Hypothesis Testing when
population is not known are: 1. Use the t distribution whenever the sample size is less than 30, population SD is not known and Population is normal or approximately normal 2. Doing hypot |
|
A)
|
1
and 2
|
|
B)
|
1
and 3
|
|
C)
|
2
and 3
|
|
D)
|
All
of the above
|
Q.5
|
The
different types of Mutually Exclusive Events are:
1. Collectively Exhaustive List of Events 2. Independent Event 3. Dependent Event |
|
A)
|
1
and 2
|
|
B)
|
1
and 3
|
|
C)
|
2
and 3
|
|
D)
|
1,
2 and 3
|
Q.6
|
The
reason (s) why the normal distribution occupies
such a prominent place in statistics is/are: 1. It has some properties that make it applicable to a great many situations in which it is necessary to make inferences by taking samples <br |
|
A)
|
Only
1
|
|
B)
|
Only
2
|
|
C)
|
1
and 2
|
|
D)
|
None
of the above
|
Q.7
|
State
True or False with respect to Statistics
a) In singular form, it stands for numerical facts (facts expressed in numbers) pertaining to a collection of objects b) In plural form, it stands for the science of collection organizatio |
|
A)
|
1-T,
2-T
|
|
B)
|
1-T,
2-F
|
|
C)
|
1-F,
2-T
|
|
D)
|
1-F,
2-F
|
Q.8
|
The
types of probabilities under statistical
dependence are: 1. Independent 2. Joint 3. Marginal |
|
A)
|
1
and 2
|
|
B)
|
1
and 3
|
|
C)
|
2
and 3
|
|
D)
|
1,
2 and 3
|
Q.9
|
Index
Numbers based on Variables are:
a. Price Index b. Quantity Index c. Value Index d. Production Index e. Cost of Living Index f. Wholesale Price Index |
|
A)
|
a,
b, e and f
|
|
B)
|
c,
d, e and f
|
|
C)
|
a,
b, c and d
|
|
D)
|
All
of the above
|
Q.10
|
The
various measures of variations which are in
common use are: 1. Range 2. Quartile Deviation 3. Standard Deviation 4. Mean Deviation 5. Mode |
|
A)
|
1,
2, 3, 4
|
|
B)
|
1,
3, 4, 5
|
|
C)
|
2,
3, 4, 5
|
|
D)
|
1,
2, 3, 5
|
Q.11
|
State
the True points with respect to Standard
Error of Estimate 1. The standard error of estimates helps to measure the accuracy of the estimated figures in regression analysis 2. If the value of the standard error of estimate is small, < |
|
A)
|
Only
1
|
|
B)
|
1
and 2
|
|
C)
|
2
and 3
|
|
D)
|
1,
2 and 3
|
Q.12
|
The
merits of Modern Econometric Methods are:
1. Accurate and reliable results are obtained under this method 2. Easy to construct growth model for every business activity 3. Explains in detail and in quantitative terms the way in |
|
A)
|
1
and 2
|
|
B)
|
2
and 3
|
|
C)
|
1
and 3
|
|
D)
|
1,
2 and 3
|
Q.13
|
The
assumptions used in Testing of Hypothesis are:
1. Use sample results to decide whether to use a twotailed, upper- tailed, or lower-tailed test 2. Before any data are collected, the form of the test is determined by what the decision ma |
|
A)
|
Only
1
|
|
B)
|
Only
2
|
|
C)
|
1
and 2
|
|
D)
|
None
of the above
|
Q.14
|
IIM
wants to conduct a survey of the annual
earnings of its graduates in international placements. It knows from the past experience that the standard deviation of its population of students is $1500. How large a sample size should be take |
|
A)
|
32.1
|
|
B)
|
33.4
|
|
C)
|
33.6
|
|
D)
|
34.6
|
Q.15
|
State
the True points with regards to Random
Sampling: 1. Systematic sampling, stratified sampling, and cluster sampling attempt to approximate simple random sampling 2. The principles of simple random sampling are the foundation f |
|
A)
|
1-T,
2-T
|
|
B)
|
1-T,
2-F
|
|
C)
|
1-F,
2-T
|
|
D)
|
1-F,
2-F
|
Q.16
|
Match
the Sets
Set A 1. Positive Correlation, 2. Simple Correlation, 3. Partial and Multiple Correlations 4. Linear Correlation Set B a. Relationship between two variables are studied b. Relationship between three or more v |
|
A)
|
1-a,
2-b, 3-c, 4-d
|
|
B)
|
1-d,
2-a, 3-b, 4-c
|
|
C)
|
1-c,
2-a, 3-b, 4-d
|
|
D)
|
1-d,
2-c, 3-a, 4-b
|
Q.17
|
Write
the following steps of solving the x2 problems
in proper order: 1. Divide the values obtained in the above step by the respective expected frequency and add all the values to get the value according to the formula 2. Take the dif |
|
A)
|
1,
2, 3
|
|
B)
|
2,
3, 1
|
|
C)
|
3,
2, 1
|
|
D)
|
1,
3, 2
|
Q.18
|
Calculate
Mean Deviation from median.
Number of T.V. sets sold: 18, 16, 16, 19, 12, 14, 20 |
|
A)
|
2.143
|
|
B)
|
2.431
|
|
C)
|
2.453
|
|
D)
|
2.521
|
Q.19
|
The
merits of Specific Historical Analogy are:
1. It is an easy method 2. Forecasting will be more reliable 3. Forecasting is made on a more scientific method |
|
A)
|
1
and 2
|
|
B)
|
2
and 3
|
|
C)
|
1
and 3
|
|
D)
|
1,
2 and 3
|
Q.20
|
In
case of continuous frequency distribution, in the
median formula, c and m stand for _____ |
|
A)
|
Cumulative
Frequency, Median Class
|
|
B)
|
Cumulative
Frequency, Cumulative Frequency corresponding to the class preceding the
median class
|
|
C)
|
Width
of the Median Class, Cumulative Frequency corresponding to the class
preceding the median class
|
|
D)
|
Width
of the Median Class, Median Class
|
Q.21
|
A
_____ is a characteristic of a sample; a _____ is a
characteristic of a population |
|
A)
|
Population,
Parameter
|
|
B)
|
Population,
Sample
|
|
C)
|
Parameter,
Statistic
|
|
D)
|
Statistic,
Parameter
|
Q.22
|
The
following are the number of children for 20
couples. Find the mode. No. of children per couple: 2 3 6 3 4 0 5 2 2 4 3 2 1 0 4 2 2 1 1 3 |
|
A)
|
1
|
|
B)
|
2
|
|
C)
|
3
|
|
D)
|
4
|
Q.23
|
Match
the Sets
Set A 1. Secular Trend 2. Cyclic Fluctuations 3. Seasonal Fluctuations Set B a. How the series has been moving in the past and what its future course is likely to be over a long period b. Whether the business |
|
A)
|
1-a,
2-b, 3-c
|
|
B)
|
1-b,
2-a, 3-c
|
|
C)
|
1-c,
2-a, 3-b
|
|
D)
|
1-c,
2-b, 3-a
|
Q.24
|
In
the Method of Moving Averages, when the
period is even, the following are the steps. Arrange them in proper order. 1. Compute 4-yearly moving totals and place them at the centre of time span. The four-yearly moving totals are compu |
|
A)
|
5,
3, 1, 2, 4
|
|
B)
|
3,
5, 1, 2, 4
|
|
C)
|
1,
3, 5, 4, 2
|
|
D)
|
1,
2, 3, 4, 5
|
Q.25
|
The
mean and the median of a slightly skew
distribution are 12 cms. and 12.7 cms. respectively. Find the mode of the distribution. |
|
A)
|
14
|
|
B)
|
14.01
|
|
C)
|
14.1
|
|
D)
|
14.2
|
Q.26
|
Match
the Sets
Set A 1. Quantitative classification 2. Qualitative classification 3. Spatial classification 4. Temporal classification Set B a. Classification with regard to attribute b. Geographical classification c. C |
|
A)
|
1-a,
2-b, 3-c, 4-d
|
|
B)
|
1-d,
2-a, 3-b, 4-c
|
|
C)
|
1-c,
2-a, 3-b, 4-d
|
|
D)
|
1-d,
2-c, 3-a, 4-b
|
Q.27
|
Value
Index Numbers
1. Are not weighted 2. Do not take into account either the price or the quantity 3. Are not very popular |
|
A)
|
1
|
|
B)
|
2
and 3
|
|
C)
|
1,
2 and 3
|
|
D)
|
None
of the above
|
Q.28
|
State
the True point with respect to diagrammatic
way to illustrate probability concepts 1. We use a pictorial representation called a Venn diagram, after the English mathematician John Venn 2. In these diagrams, the part of a sample space |
|
A)
|
1
and 2
|
|
B)
|
1
and 3
|
|
C)
|
2
and 3
|
|
D)
|
1,
2 and 3
|
Q.29
|
State
the True points with regards to Testing of
Hypothesis 1. The difference between the hypothesized population parameter and the actual statistic is more often neither so large that we automatically reject our hypothesis nor so smal |
|
A)
|
1-T,
2-T
|
|
B)
|
1-T,
2-F
|
|
C)
|
1-F,
2-T
|
|
D)
|
1-F,
2-F
|
Q.30
|
Arrange
the steps of Execution of the Survey in
order of occurrence: i) Collection of data ii) Scrutiny, editing and presentation of data iii) Analysis of data iv) Interpretation of analyzed data |
|
A)
|
1,
2, 3, 4
|
|
B)
|
1,
3, 2, 4
|
|
C)
|
3,
4, 1, 2
|
|
D)
|
3,
4, 2, 1
|
Q.31
|
Estimates
about a population are:
1. Point estimate 2. Sample estimate 3. Interval estimate |
|
A)
|
1
and 2
|
|
B)
|
2
and 3
|
|
C)
|
1
and 3
|
|
D)
|
1,
2 and 3
|
Q.32
|
The
mean of marks scored by 30 girls of a class is
44%. The mean for 50 boys is 42%. Find the mean for the whole class. |
|
A)
|
42.25%
|
|
B)
|
42.75%
|
|
C)
|
43.25%
|
|
D)
|
43.75%
|
Q.33
|
The
types of Correlation are:
a. Simple correlation b. Partial correlation c. Multiple correlation |
|
A)
|
a
and b
|
|
B)
|
b
and c
|
|
C)
|
a
and c
|
|
D)
|
a,
b and c
|
Q.34
|
Weighted
Index Numbers can be divided into:
1. Simple Aggregative Method 2. Simple Average of Relatives Method 3. Weighted Aggregative Method 4. Weighted Average of Relatives Method |
|
A)
|
1
and 2
|
|
B)
|
3
and 4
|
|
C)
|
1
and 3
|
|
D)
|
2
and 4
|
Q.35
|
A
small town has 20 textile companies of the same
size. All the companies are experiencing excessive labour turnover. It has been found that the SD of the turn over is 75 employees. If a sample of 5 companies is taken, find the standard er |
|
A)
|
28.7
|
|
B)
|
29.8
|
|
C)
|
30.3
|
|
D)
|
31.2
|
Q.36
|
Probability
distributions are classified as either _____
or _____ |
|
A)
|
Discrete,
Continuous
|
|
B)
|
Joint,
Marginal
|
|
C)
|
Fixed,
Variable
|
|
D)
|
Normal,
Observed
|
Q.37
|
State
the True points in the steps of Indirect
Personal Interview: 1. In this method, the investigator does not contact the units directly 2. This method is costly; it consumes much time and labour 3. In this method, there is no sc |
|
A)
|
2,
3 and 4
|
|
B)
|
1,
2 and 4
|
|
C)
|
1,
3 and 4
|
|
D)
|
1,
2, 3 and 4
|
PART C
Q.1
|
The
various methods of studying correlation are:
a. Scatter Diagram Method b. Graphic Method c. Karl Pearson’s Coefficient of Correlation d. Concurrent Deviation Method e. Multiple Regression Method f. Method of Least Squares |
|
A)
|
a,
b, c, d and e
|
|
B)
|
b,
c, d, e and f
|
|
C)
|
a,
b, c, d and f
|
|
D)
|
All
of the above
|
Q.2
|
The
Merits of Arithmetic Mean are:
1. It is rigidly defined 2. The logic behind its computation can be easily understood 3. It can be easily adopted for further statistical analysis 4. It is based on all the values 5. It is more st |
|
A)
|
Except
3
|
|
B)
|
Except
3 and 6
|
|
C)
|
Except
6
|
|
D)
|
All
of the above
|
Q.3
|
Assume
that we have one box containing 10 balls
distributed as follows: 3 – Colored and Dotted 1 – Colored and Striped 2 – Gray and Dotted 4 – Gray and Striped What is P(D/G), P(S/G), P(G/D) and P(C/D)? |
|
A)
|
2/3,
1/3, 2/5, 3/5
|
|
B)
|
1/3,
2/3, 3/5, 2/5
|
|
C)
|
1/3,
2/3, 2/5, 1/5
|
|
D)
|
1/3,
2/3, 2/5, 3/5
|
Q.4
|
The
underlying assumptions for the study of
analysis of variance are: 1. Each of the samples is a simple random sample 2. Population from which the samples are selected are independently distributed 3. Each of the samples is independen |
|
A)
|
2,
3, 4, 6
|
|
B)
|
1,
3, 4, 5
|
|
C)
|
2,
3, 4, 6
|
|
D)
|
1,
2, 4, 5
|
Q.5
|
A
bank calculates that its individual savings
accounts are normally distributed with a mean of Rs. 2,000 and a standard deviation of Rs. 600. If the bank takes a random sample of 100 accounts, what is the probability that the sample mean w |
|
A)
|
0.4525
|
|
B)
|
0.2967
|
|
C)
|
0.7492
|
|
D)
|
0.83
|
Q.6
|
State
the True points in comparison of t and z
tables 1. The t table is more compact and shows areas and t values for only a few percentages 2. The t table focuses on the chance that the population parameter being estimated will fall w |
|
A)
|
1
and 3
|
|
B)
|
2
and 3
|
|
C)
|
2
and 4
|
|
D)
|
All
of the above
|
Q.7
|
General
principles should be considered for Drafting
Questionnaire are: 1. The number of questions should be as less as possible 2. Questions should be short and simple 3. Questions should be such that the answers to them are short <br |
|
A)
|
1,
2, 3, 4 and 7
|
|
B)
|
2,
3, 4, 5 and 7
|
|
C)
|
2,
3, 5, 6 and 7
|
|
D)
|
All
of the above
|
Q.8
|
The
Characteristics of Business Forecasting are:
1. Based on past and present conditions 2. Based on mathematical and statistical methods 3. Period 4. Estimation of future 5. Scope |
|
A)
|
Except
3
|
|
B)
|
Except
4
|
|
C)
|
Except
2
|
|
D)
|
All
of the above
|
Q.9
|
Match
the Sets
Set A 1. Population 2. Sample Set B a. Collection of items being considered b. Parameters c. Symbols: N, σ, P d. Part or portion of the population chosen for study e. Statistics f. Symbols: n, , s |
|
A)
|
1-a,b,c
; 2-d,e,f
|
|
B)
|
1-a,c,e
; 2-b,d,f
|
|
C)
|
1-a,b,f
; 2-d,e,c
|
|
D)
|
1-d,e,f
; 2-a,b,c
|
Q.10
|
The
Utilities of Consumer Price Index Numbers are:
1. They are only approximate indicators of the relative level of phenomenon 2. It is useful to measure the change in purchasing power of currency, real income etc. 3. It helps the gove |
|
A)
|
3,
4, 5, 6 and 7
|
|
B)
|
2,
3, 5, 6 and 7
|
|
C)
|
1,
2, 3, 5 and 7
|
|
D)
|
All
of the above
|
Q.11
|
For
the following data, find the quartile deviation
and the coefficient of quartile deviation. No. of fruits per basket: 36 43 30 37 38 35 29 38 35 32 35 36 |
|
A)
|
32.75,
32.75
|
|
B)
|
32.75,
37.75
|
|
C)
|
37.75,
32.75
|
|
D)
|
37.75,
37.75
|
Q.12
|
The
criteria of a good estimator are:
1. Unbiasedness 2. Efficiency 3. Consistency 4. Sufficiency |
|
A)
|
1,
2 and 3
|
|
B)
|
2,
3 and 4
|
|
C)
|
1,
3 and 4
|
|
D)
|
All
of the above
|
Q.13
|
The
Merits of Moving Averages Method are:
1. This method is simple 2. This method is objective in the sense that any body working on a problem with this method will get the same results 3. This method is used for determining seasonal, |
|
A)
|
3,
4, 5, 6 and 7
|
|
B)
|
2,
3, 5, 6 and 7
|
|
C)
|
1,
2, 3, 5 and 7
|
|
D)
|
All
of the above
|
Q.14
|
The
important measures for Central Tendency are:
1. Arithmetic Mean 2. Median 3. Mode 4. Geometric Mean 5. Harmonic Mean |
|
A)
|
1,
2 and 3
|
|
B)
|
1,
2, 3 and 4
|
|
C)
|
2,
3, 4 and 5
|
|
D)
|
All
of the above
|
Q.15
|
The
Phases of Business Cycle are:
1. Prosperity 2. Accept 3. Depression 4. Improvement |
|
A)
|
Except
3
|
|
B)
|
Except
4
|
|
C)
|
Except
2
|
|
D)
|
All
of the above
|
Q.16
|
Take
an example of the number of vehicles passing
through a tollbooth at rush hour. If we divide the rush hour into periods of one second each, which of the following statements will we find as true? 1. The probability that exactly one veh |
|
A)
|
1,
2, 4
|
|
B)
|
2,
3, 4
|
|
C)
|
1,
2, 3
|
|
D)
|
All
of the above
|
Q.17
|
The
population of a city increase at the rates 18%
and 8% in two successive years. In the next two successive years, it decreased at the rates 5% and 4%. Find the average rate of growth. |
|
A)
|
3.60%
|
|
B)
|
3.70%
|
|
C)
|
3.80%
|
|
D)
|
3.90%
|
Q.18
|
The
characteristics of Statistics are:
1. Statistics means an average of facts 2. Statistics are affected to a marked extent by multiplicity of causes 3. Statistics are numerically expressed 4. Statistics are enumerated or estimated ac |
|
A)
|
1,
2, 3, 4 and 7
|
|
B)
|
2,
3, 4, 5 and 7
|
|
C)
|
2,
3, 5, 6 and 7
|
|
D)
|
All
of the above
|
Q.19
|
The
Main Advantages of Business Forecasting are:
1. Helpful in increasing profit and reduction in losses 2. Management decisions 3. Useful to administration 4. Basis for capital market 5. Useful in controlling the business cycles 6 |
|
A)
|
Except
5
|
|
B)
|
Except
5 and 8
|
|
C)
|
Except
8
|
|
D)
|
All
of the above
|
Q.20
|
The
probabilities of three events, A, B & C, occurring are
P(A) = 0.35, P(B) = 0.45 and P(C) = 0.2. Assuming that A, B and C has occurred the probabilities of another event X occurring are: P(X/A) = 0.8, P(X/B) = 0.65 and P(X/C) = 0.3. <br |
|
A)
|
0.4427,
0.4625, 0.0949, 0.6325
|
|
B)
|
0.6325,
0.4427, 0.4625, 0.0949
|
|
C)
|
0.4427,
0.6325, 0.4625, 0.0949
|
|
D)
|
0.4427,
0.4625, 0.6325, 0.0949
|
Q.21
|
Which
of the following are the examples of
published sources of secondary data? 1. Reports and publications of Central and State Government departments 2. Reports and publications of International bodies such as U. N. O., l. M. F., etc |
|
A)
|
1,
2, 3, 4
|
|
B)
|
2,
3, 4, 5
|
|
C)
|
3,
4, 5, 6
|
|
D)
|
All
of the above
|
Q.22
|
Classify
the below examples into Classical (C),
Relative Frequency (RF) or Subjective (S) 1. The probability of scoring a penalty shot in hockey is 0.47 2. The probability that the current minister will resign is 0.85 3. The probab |
|
A)
|
RF,
RF, C, RF, S
|
|
B)
|
C,
S, S, RF, S
|
|
C)
|
RF,
S, C, RF, S
|
|
D)
|
S,
RF, C, C, S
|
Q.23
|
The
characteristics of x2 tests are:
1. x2 test is based on parameters 2. It’s a non-parametric test where no parameters regarding the rigidity of population or populations are required 3. Additive property is also found in x2 test <br |
|
A)
|
2,
3, 4, 5, 6
|
|
B)
|
1,
3, 4, 5, 6
|
|
C)
|
2,
3 and 6
|
|
D)
|
1,
4 and 5
|
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