# Statistics for Management (QAM601)-Semester I

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AMITY (Assignment)  MBA  Semester 1

Statistics for Management (QAM601)-Semester I

Question 1

Inferential statistics can be defined as a part of statistics related to _______.

Select one:

a. summarising data

b. organising data

c. research on data

d. sorting data

Question 2

________ is facilitated by Statistics.

Select one:

a. data representation

b. comparison

c. easy interpretation

d. all of these

Question 3

Measures of central tendency are part of which type of statistics?

Select one:

a. descriptive

b. inferential

c. both of these

d. none of these

Question 4

The data set 32,41,52,11,53,74,21,44,26,75, has _______ number of modes.

Select one:

a. 1

b. 2

c. 3

d. none of these

Question 5

According to the idea of interquartile range, the whole data set is divided into ____ number of parts.

Select one:

a. 2

b. 4

c. 6

d. 8

Question 6

________ can be considered as balancing point of the data.

Select one:

a. mean

b. mode

c. skewness

d. all of these

Question 7

________ data requires no order or sequence while collection.

Select one:

a. nominal

b. ordinal

c. both of these

d. none of these

Question 8

The most frequent data value is called ______

Select one:

a. mean

b. median

c. mode

d. variance

Question 9

Dispersion can also be defined as degree of _____

Select one:

b. diversity

c. scatterness

d. all of these

Question 10

Data collected on weight of students in a class of 50 students is a _________ type of data.

Select one:

a. nominal

b. ordinal

c. discrete

d. continuous

Question 11

For finding median in continuous series, which amongst the following are of importance?

Select one:

a. Lower limit of the median class

b. Particular frequency of the median class

c. cumulative frequency preceeding the median class

d. all of these

Question 12

In continuous type of series, for finding mean, which amongst the following is considered as X variable value?

Select one:

a. lower limit of the interval

b. upper limit of the interval

c. mid point of the interval

d. none of these

Question 13

Temperature of 100 patients visited to a doctor’s clinic on Sunday can be an example of ________ type of data.

Select one:

a. grouped

b. ungrouped

c. nominal

d. ordinal

Question 14

Median as quartiles can be termed as _____

Select one:

a. Q1

b. Q2

c. Q3

d. Q4

Children – ungrouped

Question 15

For a continuous data distribution, 10-20 with frequency 3, 20-30 with frequency 5, 30-40 with frequency 7and 40-50 with frequency 1, the value of Q_3 is ________.

Select one:

a. 34

b. 30

c. 35.7

d. 32.6

Question 16

For a continuous data distribution, 10-20 with frequency 3, 20-30 with frequency 5, 30-40 with frequency 7and 40-50 with frequency 1, the value of quartile deviation is ________.

Select one:

a. 2

b. 6.85

c. 6.32

d. 10

Question 17

For a continuous data distribution, 10-20 with frequency 3, 20-30 with frequency 5, 30-40 with frequency 7and 40-50 with frequency 1, the value of Q_1 is ________.

Select one:

a. 10.5

b. 22

c. 26

d. 24

30/30

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# Module 2

Binomial distribution is symmetrical when ____ .

Select one:

a. p>q

b. p<q

c. p=q

d. p≠q

Question 2

Range or scale of probability is ____.

Select one:

a. minus one to plus one

b. zero to one

c. minus one to zero

d. none of these

Question 3

As per the “Multiplication Rule of Probability”, in case of Dependent events P(AB) = P(A) . P(B/A), where P(AB) is called ____________ probability.

Select one:

a. Joint

b. Marginal

c. Conditional

d. none of these

Question 4

Normal Distribution is a continuous frequency distribution of _______ range.

Select one:

a. finite

b. infinite

c. both of these

d. none of these

Question 5

As per the “Multiplication Rule of Probability”, in case of Dependent events P(AB) = P(A) . P(B/A), where P(A) is called ____________ probability.

Select one:

a. Joint

b. Marginal

c. Conditional

d. none of these

Question 6

According to empirical rule _____ percentage of data lies between one standard deviation of data.

Select one:

a. 99.7

b. 13.5

c. 68

d. none of these

Question 7

If p represents the probability of success of a player in any game and M represents the sum of money he will receive in case of success

Then his expectation = ______.

Select one:

a. p/M

b. p*M

c. p+M

d. p-M

Question 8

Addition rule of probability is P(A union B)= P(A)+P(B) for ______ events.

Select one:

a. mutually exclusive

b. equally likely

c. non exhaustive

d. all of these

Question 9

In an experiment of tossing a coin. If A = getting a head and B = getting a tail. Then A and B are _________ events.

Select one:

a. mutually exclusive

b. equally likely

c. exhaustive

d. all of these

Question 10

Events are said to be _______ when one does not occur more often than the others.

Select one:

a. equally likely

b. complementary

c. disjoint

d. mutually exclusive

Question 11

In which case will the binomial distribution be applied?

Select one:

a. When we have to find the probability of 6 heads in 10 throws of a fair coin

b. When we have to find the probability that 3 out of 10 items produced by a machine, which produces 8 % defective items on an average, will be defective

c. both of these

d. None of these

Question 12

Which of the following will present a symmetrical graph when plotted?

Select one:

a. B(0.3,10)

b. B(0.5,10)

c. B(0.8,10)

d. B(0.9,10)

Question 13

Consider an experiment of rolling a fair dice. The probability that both dice show a 4 is ____

Select one:

a. 1/2

b. 1/36

c. 1/4

d. 1/12

Question 14

Total number of items in the sample space of an event of tossing two coins together is _____.

Select one:

a. 2

b. 4

c. 8

d. 16

Question 15

A table of 4 students has 1 is senior and 3 juniors. The teacher is going to pick 2 students at random from this group to present homework solutions. Probability that both students selected are juniors is _____.

Select one:

a. 1/3

b. 1/2

c. 1/4

d. 1/6

Question 16

Regarding a certain normal distribution concerning the income of the individuals we are given that mean = 500 rupees and standard deviation = 100 rupees. Find the possibility that an individual selected at random will belong to the income group Rs. 420 to Rs. 570.

Select one:

a. 0.183

b. 0.213

c. 0.546

d. none of these

Question 17

Births in a hospital occur randomly at an average rate of 1.8 births per hour. What is the probability of observing 4 births in a given hour at the hospital?

Select one:

a. 0.3628

b. 0.0723

c. 0.7329

d. none of these

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Other Questions

As per the “Multiplication Rule of Probability”, in case of Dependent events P(AB) = P(A) . P(B/A), where P(B/A) is called ____________ probability.

condtonal

In an experiment of tossing a coin. If A = getting a head and B = getting a tail. Then A and B are _________ events.

d. all of these ryt

As per the “Multiplication Rule of Probability”, in case of Dependent events P(AB) = P(A) . P(B/A), where P(AB) is called ____________ probability.

Joint

Addition rule of probability is P(A union B)= P(A)+P(B) for ______ events.

non exhaustive

Normal Distribution is a continuous frequency distribution of _______ range.

infinite

If p represents the probability of success of a player in any game and M represents the sum of money he will receive in case of success

p*M

According to empirical rule _____ percentage of data lies between one standard deviation of data.

68

As per the “Multiplication Rule of Probability”, in case of Dependent events P(AB) = P(A) . P(B/A), where P(A) is called ____________ probabilit

Marginal

Events are said to be _______ when one does not occur more often than the others.

Select one:

equally likely

Total number of items in the sample space of an event of tossing two coins together is

4

Which of the following will present a symmetrical graph when plotted?

B(0.5,10

In which case will the binomial distribution be applied?

both of these

In which case amongst the following can we use Poisson Distribution?

both of these

Regarding a certain normal distribution concerning the income of the individuals we are given that mean = 500 rupees and standard deviation = 100 rupees. Find the possibility that an individual selected at random will belong to the income group Rs. 420 to Rs. 570

0.546

A table of 4 students has 1 is senior and 3 juniors. The teacher is going to pick 2 students at random from this group to present homework solutions. Probability that both students selected are juniors is _____.

1/2

Births in a hospital occur randomly at an average rate of 1.8 births per hour. What is the probability of observing 4 births in a given hour at the hospital?

none of these  0.213   0.183 Wrong

Births in a hospital occur randomly at an average rate of 1.8 births per hour. What is the probability of observing 4 births in a given hour at the hospital?

0.0723

28/30

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## 3rd Module Assessment

What does the ‘representativeness’ of a sample mean?

Select one:

a. The size of the sample relative to the population

b. Whether a random or non-random sampling method has been used

c. How closely the sample represents or matches the population on key characteristics

d. The level of non-response bias present within a sample

Question 2

What is NOT a source of error in survey research?

Select one:

a. When people provide socially desirable answers

b. Bias introduced by the method of selecting participants

c. Effects of the survey interviewer or questions on respondents

d. The number of questions included in a survey

Question 3

When might you use stratified sampling?

Select one:

a. When conducting a household opinion survey

b. When the snowball method is not appropriate

c. When it is difficult or impossible to know who is part of the sampling frame

d. When you want to maintain the proportionality of groups in your sample

Question 4

The goal of sampling is to select a sample that accurately represents the larger population, taking into account the ________

Select one:

a. practicalities

b. constraints

c. both of these

d. none of these

Question 5

Sampling is a process of _________.

Select one:

a. selecting observations from a larger population

b. arranging data in sequencing

c. data cleansing

d. organising data

Question 6

What is a ‘convenience sample’?

Select one:

a. Randomly selecting groups to participate

b. Selecting people at random from a population

c. Asking people to nominate others to participate

d. Selecting people based on their willingness or interest in taking part in the project

Question 7

What’s the difference between a statistic and a parameter?

Select one:

a. A statistic is the R2 value of a regression and a parameter is the regression weight

b. A statistic is an average and the parameter is a weighted average

c. A statistic is an estimate of a population parameter; we compute statistics and estimate parameters

d. none of these

Question 8

What does a population include?

Select one:

a. The population is a smaller sample of the larger group

b. The population includes all objects/observations of interest

c. The population is the group of observations that are selected at random

d. The population is a group of employees who report directly to a manager

Question 9

How is sampling NOT like an experiment?

Select one:

a. Sampling influences the observations whereas an experiment does not

b. Sampling is the same process as an experiment so there is no difference

c. Sampling is a process within an experiment as part of statistical analysis

d. Sampling does not influence or affect the observations whereas an experiment does

Question 10

What is ‘sampling error’?

Select one:

a. Forgetting to include everyone in the survey mailing list

b. Inaccuracies in our sample introduced by the methods we use to select participants

c. Sending the survey invitation to people outside your company

d. A way of quantifying the effects of a statistical cluster

Question 11

What is the critical z-score value for a 95% confidence level?

Select one:

a. 0.96

b. 1.96

c. 2.96

d. none of these

Question 12

If a z-score is 1.96, what does this mean?

Select one:

a. The score is 1.96 SD above the population mean, which is meaningful

b. The score is 1.96% above the population mean, which is not meaningful

c. The sample mean is 1.96

d. The sample mean ranges between +/- 1.96

Question 13

When do we use a t-distribution?

Select one:

a. when it is impractical to calculate z-scores

b. When the sample size is very large

c. For small samples and when the population SD is unknown

d. When we know the population SD

Question 14

What is the standard error?

Select one:

a. The error inherent within the sampling method

b. When the p-value exceeds 0.05

c. The standard deviation of the sampling distribution for the statistic

d. The 95% confidence interval

Question 15

What is the rule of thumb to assume a sampling distribution of a proportion is approximately normal?

Select one:

a. There must be 30 or more cases in the sample

b. √p(1-p)/n must be less than 1

c. n*p and n(1-p) both at least 10 or more

d. The reliability must be 0.70 or more

Question 16

What affects the sampling distribution of a proportion?

Select one:

a. Sample size only

b. The population proportion only

c. The standard error of the proportion

d. Both the sample size and the population proportion

Question 17

What is the key practical implication of the Central Limit Theorem?

Select one:

a. A sufficiently large sample can predict the parameters of a population such as a mean and standard deviation

b. It informs how you should sample respondents

c. The smaller the sample, the more accurate our estimates of the population parameters

d. A ‘normal’ distribution looks like a bell-shaped curve

Other Question

What is NOT a component of a confidence interval.

Select one:

a. A p-value

b. A statistic

c. A confidence level

d. A margin of error

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# Statistics for Management (QAM601)-Semester I

5th Module Assessment

General equation of the regression line x on y is ________.

Select one:

a. (x-xbar)=b_xy (y-ybar)

b. (x-xbar)=b_yx (y-ybar)

c. (x+xbar)=b_xy (y+ybar)

d. (y-ybar)=b_xy (x-xbar)

Question 2

If cov (x,y) = 0 is zero, then is ______ correlation.

Select one:

a. positive

b. negative

c. zero

d. none of these

Question 3

In rank correlation coefficient formula, sum of squared differences between the ranks is divided by _______.

Select one:

a. n(n^2-1)

b. n(n^2+1)

c. n(1-n^2)

d. n(1+n^2)

Question 4

If cov (x,y) is negative, then variable x ______ as variable y increase.

Select one:

a. increase

b. decrease

c. remains constant

d. None of these

Question 5

Range of Correlation coefficient is _____.

Select one:

a. minus infinity to plus infinity

b. minus one to plus 1

c. minus one to zero

d. zero to plus one

Question 6

On the basis of change in proportion, which amongst the following is a type of correlation.

Select one:

a. Simple

b. Multiple

c. Zero

d. none of these

Question 7

Regression line equation is in which form of equation?

Select one:

a. intercept form of equation

b. point slope form of equation

c. two point form of equation

d. none of these

Question 8

On the basis of number of variables __________correlation is a type of correlation.

Select one:

a. positive

b. negative

c. partial

d. zero

Question 9

Correlation is denoted by _______

Select one:

a. r

b. ρ

c. both of these

d. none of these

Question 10

“If a car increases speed, travel time to a destination decreases”, is an example of _______ correlation.

Select one:

a. Partial

b. Negative

c. Multiple

d. Positive

Question 11

Which amongst the following is not required to find rank correlation coefficient?

Select one:

a. Difference between ranks

b. Number of items

c. Pearson correlation coefficient

d. All of these

Question 12

Regression coefficient b_yx can be calculated as _____ * [S.D. (y) / S.D. (x)]

Select one:

a. rho

b. sigma

c. phi

d. alpha

Question 13

Which amongst the following is not required to find Karl pearson coefficient of correlation?

Select one:

a. Standard deviation

b. variance

c. covariance

d. None of these

Question 14

Variable of sales dependent upon both advertisement and price variables, can be considerred as an examples of ______ correlation.

Select one:

a. simple

b. partial

c. multiple

d. zero

Question 15

Following data refers to the years of service (variable X) put in by seven specialized workers in a factory and their monthly incomes (variable Y). X variable values with corresponding Y variable values can be listed as,, 11 years of service with income 700, 7 years of service with income 500, 9 years of service with income 300, 5 years of service with income 200, 8 years of service with income 600, 6 years of service with income 400, 10 years of service with income 800. Regression equation y on x is ______.

Select one:

a. y=3/4x+1

b. y=4/3x-1

c. y=3/4x-1

d. y=1-3/4x

Question 16

Following data refers to the years of service (variable X) put in by seven specialized workers in a factory and their monthly incomes (variable Y). X variable values with corresponding Y variable values can be listed as,, 11 years of service with income 700, 7 years of service with income 500, 9 years of service with income 300, 5 years of service with income 200, 8 years of service with income 600, 6 years of service with income 400, 10 years of service with income 800. Find the correlation coefiicient.

Select one:

a. -0.45

b. 0.29

c. 0.36

d. 0.75

Question 17

Following data refers to the years of service (variable X) put in by seven specialized workers in a factory and their monthly incomes (variable Y) in hundreds of rupees. X variable values with corresponding Y variable values can be listed as,, 11 years of service with income 700, 7 years of service with income 500, 9 years of service with income 300, 5 years of service with income 200, 8 years of service with income 600, 6 years of service with income 400, 10 years of service with income 800. Bases on the regression equation y on x, for 12 years of service in the similar field, what would be the recommended salary in hundreds of rupees?

Select one:

a. 600

b. 700

c. 500

d. 800

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Other questions

If cov (x,y) is positive, then variable x ______ as variable y increase.

Select one:

a. increase

b. decrease

c. remains constant

d. None of these

Variables like Advertisement and Sales which would yield a positive correlation, can be considerred as an examples of ______ correlation.

Select one:

a. simple

b. partial

c. multiple

d. zero

29/30

Assignment 2

A researcher is comparing two multiple-choice tests with different conditions. In the first test, a typical multiple-choice test is administered. In the second test, alternative choices (i.e. incorrect answers) are randomly assigned to test takers. The results from the two tests are given below.

Mean   59.9     44.8

S.D.      10.2     12.7

Question 1 : Can the scatterness of the two distributions be compared, just by looking at the given figures?

Select one:

a. Yes, as the S.D. is given

b. No, as the mean is not same

c. May be

d. Can’t say

Question 2

What relative measure of dispersion can be used in order to compare these two distributions?

Select one:

a. Range

b. Coefficient of quartile deviation

c. Coefficient of variation

d. variance

Question 3

Value of coefficient of variation for first type “Regular test” will be ______.

Select one:

a. 10.4

b. 12.3

c. 17.3

d. 15

Question 4

Value of coefficient of variation for first type “Randomized answers” will be ______.

Select one:

a. 23

b. 28.3

c. 10

d. 16.3

Question 5

Coefficient of variation is measured in terms of ____.

Select one:

a. units

b. ratios

c. percentages

d. none of these

15/15

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