Question
Alpha is the probability of ……
Select correct option:
Rejecting H0
Accepting H0
Rejecting H1
Accepting H1
Question
What type of data is collected in population census?
Select correct option:
Two Types
Question
The collection of all outcomes for an experiment is called
Select correct option:
a sample space
the intersection of events
joint probability
population
Question
Which of the graph is used for a time series data:
Select correct option:
Frequency curve
Frequency polygon
Historigram
Histogram
Question
A histogram is consists of a set of adjacent rectangles whose bases are marked off by:
Select correct option:
Class boundaries
Class limits
Class frequency
Class marks
Question
The value that has half of the observations above it and half the observations below it is
known as:
Select correct option:
Mean
Median
Mode
Standard deviation
Question
The height of a student is 60 inches. This is an example of ………..?
Select correct option:
Continuous data
Qualitative data
Categorical data
Discrete data
Question
Range of the values 2,3,4,3,9,2,8,1,0 is
Select correct option:
0
9
89
09=9
Question
If the both tails of the distribution are equal, then distribution is called:
Select correct option:
Jshaped
Symmetrical
Positively Skewed
Negatively Skewed
Question
Ranking scale also include the properties of which scale?
Select correct option:
Nominal scale
Interval scale
Ratio scale
All of these
Question
Range of the values 2.50,3.70,4.80,3.10,9.70,2.20,8.90,1.60, 0.60 is
Select correct option:
10.03
10.30
9.10
9.00
0.60+9.70=10.30
Question
What is/are the mode for the following data: 1,m,d,n,,2,d,2,d,s,5,5,7
Select correct option:
2
d5 2,d,5
Question
133. If the standard deviation of a population is 5.5, the population variance is:
Select correct option:
5.5
31
25
30.25
Question
What we commonly called a bell shaped distribution:
Select correct option:
syme
bi moder
u shap
skewed
Question
The beginnings of a cumulative frequency distribution are presented below. What is the
next number in the Cumulative Frequency column? Classes Frequency Cumulative Frequency
6.1 to 8 1 1 8.1 to 10 2 10.1 to 12 3
Select correct option:
0
123
Question
Range of the values 10, 19, 9, 15, 28, 26, 25 is:
Select correct option:
+18
18
19
+19
Question
Which one of the following is less than median for a symmetrical distribution:
Select correct option:
50percentile
51 percentile
2quartile
4decile
Question
The value of the middle term in a ranked (ordered) data set is called the
Select correct option:
mode
mean
median
harmonic mean
Question
Sum of absolute deviations of the values is least when deviations are taken from
Select correct option:
mean
median
mode
g.m
Question
Statistic is a numerical quantity, which is calculated from
Select correct option:
data
observation
sample
population
Question
The branch of Statistics that is concerned with the procedures and methodology for
obtaining valid conclusions is called:
Select correct option:
descriptive
advance
infernetial
sample
Question
How to find the class midpoint?
Select correct option:
Half the sum of upper class limit and lower class limit
Find the difference between consecutive lower limits
Count the number of observations in the class
Divide the class frequency by the number of observ
Question
For given data, discuss the shape of the distribution: X f 0.2 8 1.2 15 2.2 23 3.2 40
Select correct option:
Positively skewed
Negatively skewed
Symmetric curve
U Shaped curve
Question
Data classified by attributes are called:
Select correct option:
group
qulitative
quantitive
array
if ‘2’ is a leading digit in 24335, than what are the trailing digits in the observation to
display a ‘Stemand –Leaf display’.
Select correct option:
4 335
4335
43
Question
A frequency polygon is obtained by plotting the class frequencies against what?
Select correct option:
classbounday
cumulative frequency
relative frequency
mid point
Question
When more values are lying at the start of the distribution, it is:
Select correct option:
u shape
positive
negative
symmetrica
Question
The data for an ogive is found in which distribution:
Select correct option:
A cumulative frequency distribution
A joint frequency distribution
A frequency distribution
A relative frequency distribution
Question
Which one of the following is greater than median for a symmetrical distribution:
Select correct option:
1st Decile
7th Decile
44th Percentile
14th Percentile
Question
Statistics deals with
Select correct option:
Individuals
Isolated items
Isolated items
Aggregates of facts
Question
Data classified by attributes are called:
Select correct option:
Grouped data
Qualitative data
Quantitative data
Arrayed data
Question
As a general rule, statisticians tends to use which of the following number of classes when
arranging the data
Select correct option:
Fewer than 5
Between 5 & 20
Between 8 & 15
More than 20
Question
The collection of all outcomes for an experiment is called
Select correct option:
a sample space
the intersection of events
joint probability
population
Question
A quantity obtained by applying certain rule or formula is known as

Select correct option:
Estimate
Estimator
Question
Criteria to check a point estimator to be good involves
Select correct option:
Consistency
Unbiasedness
Efficiency
Above all pg 258
Question
The Fdistribution always ranges from:
Select correct option:
0 to 1
0 to 8
8 to +8
0 to +8
Question
1a is the probability of ……
Select correct option:
Type 1 error
Rejection region
Acceptance region
Type 2 error
Question
Parameter is a ………quantity.
Select correct option:
Constant
Variable
Question
To find the estimate of a parameter…….methods are used.
Select correct option:
Two
Three
Four
Many
Question
A failing student is passed by an examiner. It is an example of:
Select correct option:
Type I error
Type II error
Correct decision
No information regarding student exams
Question
For two mutually exclusive events A and B, P (A) = 0.2 and P (B) = 0.4, then P(AUB) is:
Select correct option:
0.8
0.2
0.6
0.5
P(AUB)=P(A)+p(B)=0.2+0.4=0.6
Question
An urn contains 4 red balls and 6 green balls. A sample of 4 balls is selected from the urn
without replacement. It is the example of:
Select correct option:
Binomial distribution
Hypergrometric distribution
Poisson distribution
Exponential distribution
Question
A standard deck of 52 cards is shuffled. What is the probability of choosing the 5 of diamonds:
Select correct option:
1/5
1/13
1/52
Question
If P(AnB) = 0.12 P (A) = 0.3, find P (B) where ‘A’ and ‘B’ are independent:
Select correct option:
0.1
0.2
0.3
0.4
0.3X0.4=0.12
Question
The mean deviation of the normal distribution is approximately:
Select correct option:
7/8 of the S.D
4/5 of the S.D
3/4 of the S.D
1/2 of the S.D
Question
We use the Poisson approximation to the binomial when:
Select correct option:
p is 0.01 or less & n is 10 or more
p is 0.05 or less & n is 20 or more pg221
p is 0.04 or less & n is 15 or more
p is 0.02 or less & n is 10 or more
Question
The conditional probability P (A\B) is:
Select correct option:
P(A n B)/P(B) pg157
P(A n B)/P(A)
P(A U B)/P(B)
P(A U B)/P(A)
Question
We use the General Rule of Multiplication to combine:
Select correct option:
Events those are not independent
Mutually exclusive events
Events that total more than 1.00
Events based on subjective probabilities
Question
The moment ratios of normal distribution come out to be:
Select correct option:
0 and 1
0 and 2
0 and 3 pg 226
0 and 4
Question
The probability of an event is always:
Select correct option:
less than 1
between o and 1
greater than 1
Question
Symbolically, a conditional probability is:
Select correct option:
P(AB)
P(A/B)
P(A)
P(AUB)
Question
Suppose the test scores of 600 students are normally distributed with a mean of 76 and
standard deviation of 8. The number of students scoring between 70 and 82 is:
Select correct option:
272
164
260
328
Question
If P (A) = 0.3 and P (B) = 0.5, find P (A/B) where ‘A’ and ‘B’ are independent:
Select correct option:
0.3
0.5
0.8
0.15
Question
An urn contains 4 red balls and 6 green balls. A sample of 4 balls is selected from the urn
without replacement. It is the example of:
Select correct option:
Binomial distribution
Hypergrometric distribution
Poisson distribution
Exponential distribution
Question
If the second moment ratio is less than 3 the distribution will be:
Select correct option:
Mesokurtic
Leptokurtic
Platykurtic pg 226
None of these
Question
For the independent events A and B if P (A) = 0.25, P (B) =0.40 then P (A and B) =……
Select correct option:
0.65
0.1
0.50
0.15
P(A)*P(B)0.25*0.40=0.1
Question
A set of possible values that a random variable can assume and their associated probabilities of
occurrence are referred to as __________.
Select correct option:
Probability distribution
The expected return
The standard deviation
Coefficient of variation
Question
A random variable X has a probability distribution as follows: X  0 1 2 3 P(X)  2k 3k 13k 2k
What is the possible value of k:
Select correct option:
0.01
0.03
0.05
0.07
Question
The probability of drawing any one spade card is:
Select correct option:
1/52
4/52
13/52
52/52
Question
The function abbreviated to d.f. is also called the……
Select correct option:
Probability density function
Probability distribution function pg 172
Commutative distribution function
Discrete function
Question
Binomial distribution is skewed to the right if:
Select correct option:
p=q
P<q
p>q
p=n
Question
A discrete probability function f(x) is always:
Select correct option:
Zero
One pg 172
Negative
Nonnegative
Question
For a binomial distribution, n= 10 & q= 0.6, the mean of the distribution is:
Select correct option:
0.6
6.0
10
4
P=1q
10.6=0.4,
mean =np10*0.4=4
41. In the FA examination, 24candidates offered Statistics. If the probability of passing the subject
be 1/3, what will be the mean of the distribution?
Select correct option:
7865
Question
The probability that a certain machine will produce a defective item is 1/4. If a random sample
of 6 items is taken from the output of this machine, what is the probability that there will be 5
or more defectives in the sample?
Select correct option:
3/4096
18/4096
19/4096
4/4096
Question
Probability of type II error is
Select correct option:
a
B pg 276
1a
1B
Question
If the values of variables are increasing or decreasing in the same direction then such kind of
correlation is referred as
Select correct option:
Zero Correlation
Perfect Correlation
Positive Correlation
Negative Correlation
Question
The moving averages of the Prices 55,60,65,70 are
Select correct option:
70, 75
60, 65
65,65
70,60
Question
The best measure of variation is
Select correct option:
Range
Quartile deviation
Variance
Coefficient of variance
Question
Ms. Christian calculated a correlation coefficient of .75. Which of the following reflects the
best interpretation of this?
Select correct option:
Weak negative.
Strong negative.
Weak positive.
Strong positive.
Question
………use the division of a circle into different sectors. Select correct option:
Line graph
Sector graphs
Frequency Polygon
Conversion Graphs
Question
The measurement of measure of degree of to which any two variables vary together is called
Select correct option:
Regression Coefficient
Correlation
Both (a) and (b)
None of these
Question
Analysis of Variance (ANOVA) is a test for equality of:
Select correct option:
variances
means
proportions
only two parameters
Question
For some data you are given Maximum value = 96 , Minimum Value = 23 , Range = 73,

number of classes selected between 5 and 15 Then class width will be Select correct option:
15
85
All options 1,2 ,3 are possible
Question
If strength of the association between X and Y is very weak, then r = ? Select correct option:
r = – 1
r = 0
r = 1
r = 2
53. The moving averages of the Prices 90,70,30,110 are Select correct option:
63.33, 70
73.33, 80
45.45, 68
65.50, 75
Question
With increase in sample size, distribution tends to be a…….
Select correct option:
Meso kurtic
Normal
Bell shaped
Above all
Question
In the central tendency Mean, Median and Mode
Select correct option:
Mean is better than Median
Median is better than Mode
Mean is better than Mode
All of these are true
Question
The degree to which numerical data tend to spread about an average is called
Select correct option:
The dispersion
Standard deviation
Correlation
None of these
Question
…………..graphs are similar to bar graphs.
Select correct option:
column
line
conversion
sector
Question
A pattern of variation of a time series that repeats every year is called:
Select correct option:
Cyclical
Seasonal
Trend
Secular
Question
In the central tendency Mean, Median and Mode
Select correct option:
Mean is better than Median
Median is better than Mode
Mean is better than Mode
All of these are true
Question
The degree to which numerical data tend to spread about an average is called
Select correct option:
The dispersion
Standard deviation
Correlation
None of these
Question
…………..graphs are similar to bar graphs.
Select correct option:
column
line
conversion
sector
Question
A pattern of variation of a time series that repeats every year is called:
Select correct option:
Cyclical
Seasonal
Trend
Secular
Question
You have measured the systolic blood pressure of a random sample of 22 employees of a
company. A 95% con?dence interval for the mean systolic blood pressure for the employees is
computed to be (120,138). Which of the following statements gives a valid interpretation of this
interval?
Select correct option:
About 95% of the sample of employees has a systoli
About 95% of the employees in the company have a
If the sampling procedure were repeated many times
If the sampling procedure were repeated many times
Assume that a population consists of 7 similar containers having the following weights (km):
9.8, 10.2, 10.4, 9.8, 10.0, 10.2, 9.6 What is the second moment about mean?
Select correct option:
0.262 kg
0.069kg
0.521 kg
0.313kg
Question
How many numbers of parameter(s) are in tdistribution?
Select correct option:
0
1 pg 292
2
3
Question
With increase in sample size, distribution tends to be a…….
Select correct option:
Meso kurtic
Normal
Bell shaped
Above all
Question
Fdistribution is a…………….. distribution.
Select correct option:
Unimodel pg 312
Bimodal
Discrete
Negatively skewed
Question
Which one of the following sampling methods would give unbiased results, if you need to find
out the number of people in your town liking vanilla or chocolate ice creams?
Select correct option:
Ask my neighbors
Randomly select a few ice cream shops in town, and
Ask my friends
Ask my classmates
Question
A standard deviation obtained from sampling distribution of sample statistics is known as
Select correct option:
Sampling Error
Standard error pg 240
Question
If the regression line: Y= 3+5X meets yaxis at ‘8’ units distance from origin then the value of
xintercept is
Select correct option:
(3/5)
3/5
11/5
1
Question
Sum of three terms whose mean is equal to 90 is
Select correct option:
270
30
Also 90
None of these
270/3=90
Question
FREQUENCY Function calculates how often values occur within a range of values.
Select correct option:
true
False
73. Which of the following correlation coefficients represents the weakest correlation between two
variables?
Select correct option:
0.15
0.15
0.02
1.00
Question
If the value of r is 0.8 ,then the coefficient of determination is
Select correct option:
67%
64%
80%
75%
75. If the dependent variable increases with the independent variable then the coefficient of
correlation is
Select correct option:
0 to 1
0 to – 0.5
0 to 2
0 to 1
Question
F distribution tends to normality, if
Select correct option:
V1~8
V2~8
V1 and V2 ~8
Sample size is large
Question
Consistency of an estimator can be checked by comparing
Select correct option:
Mean
MSE
Variance
Standard deviation
Question
A standardized estimate has mean and variance
Select correct option:
(1, 0)
(0, 1)
(μ, s2)
(μ, s)
Question
A composite hypothesis comprises of ………
Select correct option:
Equality
Not equal to
Less than/greater
(b) and (c)
Question
For a particular hypothesis test, a=0.05and B=0.05. The power of test is equal to:
Select correct option:
0.14
0.90
0.95
0.25
Question
In a tdistribution
Select correct option:
Mean=median=mode
Mean>Median<Mode
Median >Mean>Mode
Media<Mode<Mean
Question
If we reject the null hypothesis, we might be making
Select correct option:
Type I error
Type II error
A correct decision
Unpredictable
Question
The Central Limit Theorem is important in Statistics because it allows us to use the normal
distribution to make inferences concerning the population mean:
Select correct option:
Provided that the population is normally distributed a
Provided that the population is normally distributed (
Provided that the sample size is reasonably large (fo
Provided that the population is normally distributed and the population variance is known (for
any sample size)
Question
Herbicide A has been used for years in order to kill a particular type of weed, but an
experiment is to be conducted in order to see whether a new herbicide, Herbicide B, is more effective than Herbicide A. Herbicide A will continue to be used unless there is sufficient evidence that Herbicide B is more effective.The alternative hypothesis in this problem is that
Select correct option:
Herbicide A is more effective than Herbicide BHerbicide B is more effective than Herbicide A
Herbicide A is not more effective than Herbicide B
Herbicide B is not more effective than Herbicide A
Question
A data in which we study about Regions is called……
Select correct option:
Qualitative
Quantitative
Geographical
Chronological
Question
If the median of an arrangement of numbers is equal to the mean of its middle terms then the
arrangement contains
Select correct option:
Odd number of terms
Even number of terms
Unlimited number of terms
Prime number
Question
If the graph is very much scattered, then what can be the suitable value of r?
Select correct option:
r = – 0.9
r = 0.5
r = 0.1
r=0.8
Question
In scatter diagram, clustering of points around a straight line indicates
Select correct option:
Linear regression
Nonlinear regression
Curvilinear linear regression
Both a and b
Question
If the standard deviation of a population is 9, the population variance is
Select correct option:
39 21.35
81
Question
How many steps are involved in general procedure for testing hypothesis:
4567 91. When testing for independence in a
contingency table with 2
rows and 5
columns, there are
________ degrees of freedom.
4
10
75 r1*c1
21*51=4
Question
The critical region is in:
The middle of a distribution
The tails of a distribution
Either the middle or the tails of a distribution
Neither the middle nor the tails of a distribution
Question
tdistribution is used to test the hypothesis about…..
Mean
proportion
The term 1B is called
Level of the test
power of the test
Size of the test
Critical region
Question
The asymptotic distribution of tstatistic with ndegree of freedom is
F
Normal
Z T
Question
The Gallup Poll has decided to increase the size of its random sample of Canadian voters from
about 1200 people to about 4000 people. The e?ect of this increase is to:
Reduce the bias of the estimate
Increase the standard error of the estimate
Reduce the variability of the estimate
Increase the con?dence interval width for the parameter
Question
The value of chi square can never be :
Zero
Less then 1
Greater then 1
Negative
Question
The curve of the F distribution depends upon:
Mean
Variance
Standard Deviation
Sample Size
Question
We want to test H0 : μ = 1.5 vs. H1 : μ 6= 1.5 at _= .05 . A 95% confidence interval for μ
calculated from a given random sample is (1.4, 3.6)Based on this finding we:
Fail to reject H0
Reject H0
Cannot make any decision at all because the value of the test statistic is not available
Cannot make any decision at all because (1.4, 3.6) is only a 95%
99. When we want to test the equality of two variances we usually use
Ftest
Chisquare test
ANOVA
Z_test
Question
To find the estimate of a parameter…….methods are used.
Two
Three
Four
Many
Question
In testing hypothesis, we always begin it with assuming that:
Null hypothesis is true
Alternative hypothesis is true
Sample size is large
Population is normal
Question
tdistribtion is applicable in case of
Independent samples
Dependent samples
Both (a) and (b)
Normal populations
Question
When testing for independence in a contingency table with 3 rows and 4 columns, there are
________ degrees of freedom.
567 12
Question
The Chi Square distribution is continuous distribution ranging from:
0 = ?2= 8
8 =?2 =0
8 =?2 =1
8 = ?2= 8
Question
The location of the critical region depends upon:
Null hypothesis
Alternative hypothesis
Value of alpha
Value of teststatistic
Question
A random sample of n = 6 has the elements 6, 10,13,14,18 and 20.What is the point
estimate of the population mean?
12
13.5
11
11.5
Question
ML estimators may not ………
Consistent
Efficient
Unbiased
Bised
Question
Which of the following reveals the weakest fact.
Select correct option:
The measure of central tendency measures that value which depends only on the extreme values
The measure of central tendency measures that value in tha data which occurs in the data most frequent times.
The measure of central tendency measures the value which has tendency to lie in the central part of the data.
Question
The measure of central tendency measures the distance of values from means Frequency polygon is …………
Select correct option:
Bar Charts
A line graph
Pareto Chats
None of these
Question
1A bar graph uses ……to show data.
Select correct option:
Points
Bars
Lines
Pictures
Question
Geographical data deals with…
Select correct option:
Religion
Height
Income
Regions
Question
Which one provides the basis for hypothesis testing?
Null hypothesis
Alternative hypothesis
Critical value
Teststatistics
Question
The test statistic to test the U1 = U2 (U represent the mean of population)for normal
population for n>30.
Ftest
Ztest
Ttest
ChiSquare test
Question
In a tdistribution
Mean=median=mode
Mean>Median<Mode
Median >Mean>Mode
Media<Mode<Mean
Question
1a is the probability of ……
Type 1 error
Rejection region
Acceptance region
Type 2 error
Question
Inferential statistics involves …….
Testing
Confidence interval
Estimation
Above all
Question
Probability of type II error is
a
B 1a
1B
Question
if the equation of regression line is y = 5, then what result will you take out from it?
Select correct option:
The line passes through origin.
The line passes through (5, 0)
The line is parallel to yaxis.
The line is parallel to xaxis.
Question
If the estimating equation is Y = a – b X ,Which of the following is true
Select correct option:
a)The y intercept is’b’
b) Slope of line is negative
c) There is inverse relationship
d) b & c
Question
The variance of tdistribution, for v >2, is always:
Select correct option:
Greater than zero
Less than one
Equal to one
Greater than one
Question
Which statement is NOT CORRECT?
Select correct option:
The sample standard deviation measures variability of our sample values
A larger sample will give answers that vary less from the true value than smaller samples
The sampling distribution describes how our estimate (answer) will vary if a new sample is taken
A large sample size always gives unbiased estimators regardless of how the sample is chosen
Question
Probability of an impossible event is always:
Select correct option:
Less than one
Greater than one
Between one and zero
Zero
Question
The number of parameters in uniform distribution is (are):
Select correct option:
12
pg 224
34
Question
The probability can never be:
Select correct option:
1 1/2
1 –
1/2
Question
The conditional probability P (A\B) is:
Select correct option:
P(A n B)/P(B)
P(A n B)/P(A)
P(A U B)/P(B)
P(A U B)/P(A)
Question
A random sample of n=25 values gives sample mean 83. Can this sample be regarded as drawn
from a normal population with μ= 80 and s= 7? In this question the alternative hypothesis will
be:
Select correct option:
H1: μ = 80
H1: μ ? 80
H1: μ > 80
H1: μ <80 pg 278
Question
If f(x) is a continuous probability function, then P(X = 2) is:
Select correct option:
10 1/2
2
Question
The binomial distribution is negatively skewed when:
Select correct option:
p>q pg 214
p<q
p=q
p=q=1/2
Question
If we roll three fair dices then the total number of outcomes is:
Select correct option:
6 36
216
1296
6^3=216
Question
When we draw the sample with replacement, the probability distribution to be used is:
Select correct option:
Binomial
Hypergeometric
Binomial & hypergeometric pg 219
Poisson