Download GTU (Gujarat Technological University) MBA (Master of Business Administration) 2019 Summer 1st Sem 2810007 Quantitative Analysis I Previous Question Paper

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER I ? EXAMINATION ? SUMMER 2019

Subject Code:2810007 Date:22/05/2019

Subject Name: Quantitative Analysis-I

Time: 02.30 PM To 05.30 PM Total Marks: 70

Instructions:

1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

Q.1 (a) Answer the following questions 6

1. The simple probability of occurrence of an event is called the

A. Joint Probability B. Marginal probability

C. Conditional Probability D. Bayesian Probability

2. For two tail test of hypothesis, the acceptance region is the entire region

A. To right of negative critical value B. Between two critical values

C. Outside the two critical values D To left of positive critical value

3. The central limit theorem assures us that the sampling distribution of the mean

A. Is always normal B. Is always normal for large sample

C. Approaches normality as sample

size increases

D. Appears normal when n=1000

4.

A chi square test on a contingency table with four rows and four columns will have

degrees of freedom

A. 16 B. 8

C. 6 D. 9

5. Which of the following is an example of a parameter?

A. ? B. ?

C. N D. All of these

6. With lower significance level, the probability of rejecting a null hypothesis that is actually

true:

A. Decreases B. Increases

C. Remains same D. None of these

Q.1 (b) Discuss descriptive and inferential statistics. 4

Q.1 (c) What do you mean by skewness? Explain types of skewness with appropriate figures. 4

Q.2

(a) Discuss basic levels of data measurement with appropriate examples. 7

(b) A private sector bank conducted a survey to assess the investment intention of people

after the crash of share market in October 2008. In all, 70% people responded that they

will invest in government schemes, 65% responded that they will invest in mutual

funds. If a researcher selected 25 potential customers at random:

i. What is the probability that exactly 14 customers said that they will invest in

government schemes?

ii. What is the probability that 10 or fewer customers will invest in government

investment schemes?

iii. What is the probability that more than 20 customers invest in Government

bonds?

7

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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER I ? EXAMINATION ? SUMMER 2019

Subject Code:2810007 Date:22/05/2019

Subject Name: Quantitative Analysis-I

Time: 02.30 PM To 05.30 PM Total Marks: 70

Instructions:

1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

Q.1 (a) Answer the following questions 6

1. The simple probability of occurrence of an event is called the

A. Joint Probability B. Marginal probability

C. Conditional Probability D. Bayesian Probability

2. For two tail test of hypothesis, the acceptance region is the entire region

A. To right of negative critical value B. Between two critical values

C. Outside the two critical values D To left of positive critical value

3. The central limit theorem assures us that the sampling distribution of the mean

A. Is always normal B. Is always normal for large sample

C. Approaches normality as sample

size increases

D. Appears normal when n=1000

4.

A chi square test on a contingency table with four rows and four columns will have

degrees of freedom

A. 16 B. 8

C. 6 D. 9

5. Which of the following is an example of a parameter?

A. ? B. ?

C. N D. All of these

6. With lower significance level, the probability of rejecting a null hypothesis that is actually

true:

A. Decreases B. Increases

C. Remains same D. None of these

Q.1 (b) Discuss descriptive and inferential statistics. 4

Q.1 (c) What do you mean by skewness? Explain types of skewness with appropriate figures. 4

Q.2

(a) Discuss basic levels of data measurement with appropriate examples. 7

(b) A private sector bank conducted a survey to assess the investment intention of people

after the crash of share market in October 2008. In all, 70% people responded that they

will invest in government schemes, 65% responded that they will invest in mutual

funds. If a researcher selected 25 potential customers at random:

i. What is the probability that exactly 14 customers said that they will invest in

government schemes?

ii. What is the probability that 10 or fewer customers will invest in government

investment schemes?

iii. What is the probability that more than 20 customers invest in Government

bonds?

7

2

OR

(b) A public interest group was planning to make a court challenge to auto insurance

rates in one of the three cities: A, B, or C. The prob. that it would select A was

0.40, B-0.35, and C is O.25. The group knows that it had a 45% chance of a

favorable ruling if it chose A, 60% if it chooses B and 35% if it chose C. If the

group did receive favourable ruling, what is the probability that they choose (i) city

A, (ii) City B (iii) City C.

7

Q.3 (a) Discuss characteristics of Uniform and Poisson distribution 7

(b) A brand manager is concerned that her brand?s share may be unevenly distributed

throughout the country. In a survey in which the country was divided into four

geographic regions, a random sampling of 100 consumers in each region was

surveyed , with the following results:

NE NW SE SW

Purchase the

brand

40 55 45 50

Do not

purchase

60 45 55 50

Calculate the expected frequencies and test whether brand share is the same across

the four regions. Use significance level of 0.05

7

OR

Q.3 (a) What is stratified sampling? How is it different from cluster sampling? 7

(b)

An insurance company has developed a training program that is entirely self- paced. In

last several years, the average completion of training program is 44 days with a

standard deviation of 12 days.

(i)What is the probability an employee will finish the program in 33 to 42 days?

(ii)What the probability of finishing the program in fewer 30 days?

(iii)More than 60 days?

7

Q.4 (a) What are types of error in hypothesis testing? Discuss one tail and two tail test with

appropriate figures.

7

(b) Two research laboratories have independently produced drugs that provide relief to

arthritis patients. The first drug was tested on a group of 90 arthritis patients and

produced an average of 8.5 hours of relief and a standard deviation of 1.8 hour. The

second drug was tested on 80 patients producing an average of 7.9 hours and a standard

deviation of 2.1 hours. At the 0.05 level of significance, does the second drug provide a

significantly shorter period of relief?

7

OR

Q.4 (a) Explain in detail graphical representation of data. 7

(b) A television documentary on overeating claimed that Indians are about 10 kgs

overweight on average. To test this claim, 18 randomly selected individuals were

examined, their average excess weight was found to be 12.4 kgs and the sample

standard deviation was 2.7 kgs. At significance level of 0.01, test the whether the

average excess weight is different from the claim.

7

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Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER I ? EXAMINATION ? SUMMER 2019

Subject Code:2810007 Date:22/05/2019

Subject Name: Quantitative Analysis-I

Time: 02.30 PM To 05.30 PM Total Marks: 70

Instructions:

1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

Q.1 (a) Answer the following questions 6

1. The simple probability of occurrence of an event is called the

A. Joint Probability B. Marginal probability

C. Conditional Probability D. Bayesian Probability

2. For two tail test of hypothesis, the acceptance region is the entire region

A. To right of negative critical value B. Between two critical values

C. Outside the two critical values D To left of positive critical value

3. The central limit theorem assures us that the sampling distribution of the mean

A. Is always normal B. Is always normal for large sample

C. Approaches normality as sample

size increases

D. Appears normal when n=1000

4.

A chi square test on a contingency table with four rows and four columns will have

degrees of freedom

A. 16 B. 8

C. 6 D. 9

5. Which of the following is an example of a parameter?

A. ? B. ?

C. N D. All of these

6. With lower significance level, the probability of rejecting a null hypothesis that is actually

true:

A. Decreases B. Increases

C. Remains same D. None of these

Q.1 (b) Discuss descriptive and inferential statistics. 4

Q.1 (c) What do you mean by skewness? Explain types of skewness with appropriate figures. 4

Q.2

(a) Discuss basic levels of data measurement with appropriate examples. 7

(b) A private sector bank conducted a survey to assess the investment intention of people

after the crash of share market in October 2008. In all, 70% people responded that they

will invest in government schemes, 65% responded that they will invest in mutual

funds. If a researcher selected 25 potential customers at random:

i. What is the probability that exactly 14 customers said that they will invest in

government schemes?

ii. What is the probability that 10 or fewer customers will invest in government

investment schemes?

iii. What is the probability that more than 20 customers invest in Government

bonds?

7

2

OR

(b) A public interest group was planning to make a court challenge to auto insurance

rates in one of the three cities: A, B, or C. The prob. that it would select A was

0.40, B-0.35, and C is O.25. The group knows that it had a 45% chance of a

favorable ruling if it chose A, 60% if it chooses B and 35% if it chose C. If the

group did receive favourable ruling, what is the probability that they choose (i) city

A, (ii) City B (iii) City C.

7

Q.3 (a) Discuss characteristics of Uniform and Poisson distribution 7

(b) A brand manager is concerned that her brand?s share may be unevenly distributed

throughout the country. In a survey in which the country was divided into four

geographic regions, a random sampling of 100 consumers in each region was

surveyed , with the following results:

NE NW SE SW

Purchase the

brand

40 55 45 50

Do not

purchase

60 45 55 50

Calculate the expected frequencies and test whether brand share is the same across

the four regions. Use significance level of 0.05

7

OR

Q.3 (a) What is stratified sampling? How is it different from cluster sampling? 7

(b)

An insurance company has developed a training program that is entirely self- paced. In

last several years, the average completion of training program is 44 days with a

standard deviation of 12 days.

(i)What is the probability an employee will finish the program in 33 to 42 days?

(ii)What the probability of finishing the program in fewer 30 days?

(iii)More than 60 days?

7

Q.4 (a) What are types of error in hypothesis testing? Discuss one tail and two tail test with

appropriate figures.

7

(b) Two research laboratories have independently produced drugs that provide relief to

arthritis patients. The first drug was tested on a group of 90 arthritis patients and

produced an average of 8.5 hours of relief and a standard deviation of 1.8 hour. The

second drug was tested on 80 patients producing an average of 7.9 hours and a standard

deviation of 2.1 hours. At the 0.05 level of significance, does the second drug provide a

significantly shorter period of relief?

7

OR

Q.4 (a) Explain in detail graphical representation of data. 7

(b) A television documentary on overeating claimed that Indians are about 10 kgs

overweight on average. To test this claim, 18 randomly selected individuals were

examined, their average excess weight was found to be 12.4 kgs and the sample

standard deviation was 2.7 kgs. At significance level of 0.01, test the whether the

average excess weight is different from the claim.

7

3

Q.5

An investment company is interested to know how interest rates are affecting the new

housing starts in the area To explore this question; the company has gathered data on

new housing starts during the past three quarters for the five surrounding regions. This

information is presented in the following table. At the 0.05 level of significance, are

there any differences of new housing starts during the three quarters?

Quarter 1 41 53 54 55 43

Quarter 2 45 51 48 43 39

Quarter 3 34 44 46 45 51

Also discuss the assumptions of Analysis of variance (ANOVA) test.

14

OR

Q.5 Happy Cola is studying the effect of its latest advertising campaign. People chosen at

random were called and asked how many cans of Happy cola they had brought in the

past week and how many advertisements of Happy cola they have either read or seen in

the past week.

X( number of ads) 3 7 4 2 0 4 1 2

Y ( cans Purchased) 11 18 9 4 7 6 3 8

(a)Develop the estimating equation that best fits the data

(b)Discuss and calculate the coefficient of determination and correlation

coefficient

14

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This post was last modified on 19 February 2020