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# STA301 Solved MCQs Mega Collection for mid Term Papers

### 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

0-9=-9

### Question

If the both tails of the distribution are equal, then distribution is called:

Select correct option:

J-shaped

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

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 ‘Stem-and –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 F-distribution always ranges from:

Select correct option:

0 to 1

0 to -8

-8 to +8

0 to +8

### Question

1-a 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

Non-negative

### 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=1-q

1-0.6=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

1-a

1-B

### 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 t-distribution?

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

F-distribution 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:

Randomly select a few ice cream shops in town, and

### 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 y-axis at ‘8’ units distance from origin then the value of

x-intercept 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 t-distribution

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 B

Herbicide 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

Non-linear 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 r-1*c-1

2-1*5-1=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

t-distribution is used to test the hypothesis about…..

Mean

proportion

The term 1-B is called

Level of the test

power of the test

Size of the test

Critical region

### Question

The asymptotic distribution of t-statistic with n-degree 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

F-test

Chi-square 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

t-distribtion 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 test-statistic

### 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

Test-statistics

### Question

The test statistic to test the U1 = U2 (U represent the mean of population)for normal

population for n>30.

F-test

Z-test

T-test

Chi-Square test

### Question

In a t-distribution

Mean=median=mode

Mean>Median<Mode

Median >Mean>Mode

Media<Mode<Mean

### Question

1-a 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 1-a

1-B

### 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 y-axis.

The line is parallel to x-axis.

### 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 t-distribution, 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

1/2

### 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