Download GTU (Gujarat Technological University) MBA (Master of Business Administration) 2018 Winter 1st Sem 4519207 Business Statistics Bs Previous Question Paper

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 1 ? EXAMINATION ? WINTER 2018

Subject Code: 4519207 Date:01/01/2019

Subject Name: Business Statistics (BS)

Time: 10:30 AM To 01:30 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 Explain following terms with the help of suitable example. 14

(a) Skewness

(b) Frequency Distribution

(c) Conditional Probability

(d) Box Plot

(e) Coefficient of Variation

(f) Empirical rule

(g) Level of Significance

Q. 2 (a) Explain four levels of measurement with suitable example. 07

(b) The following data represent the sales of car tyres of several brands by a retail showroom of

tyres during the year 2001-02. 07

Brand of

Tyre

Dunlop Modi Firestone Ceat Goodyear JK

Tyres Sold 136 221 138 84 101 120

(i) Construct a relative and percentage frequency distribution.

(ii) Construct a bar and pie chart. Which of these charts you prefer to use? Why?

OR

(b) From a sales force of 150 persons, one will be selected to attend a special sales meeting. If

52 of them are unmarried, 72 are college graduates and 3/4

th

of the 52 unmarried are college

graduates, find the probability that the salesperson selected at random will be neither single nor

a college graduate. 07

Q. 3 (a) List out the characteristics of Binomial and Poisson distribution along with the

parameters mean and standard deviation. 07

(b) The mean inside diameter of a sample of 500 washers produces by a machine is 5.02 mm

and standard deviation is 0.05 mm. The purpose for these washers are intended allows

maximum tolerance in the diameter of 4.96 to 5.08 mm, otherwise the washers are considered

defective. Determine the percentage of defective washers produced by the machine, assuming

the diameters are normally distributed. 07

OR

FirstRanker.com - FirstRanker's Choice

Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 1 ? EXAMINATION ? WINTER 2018

Subject Code: 4519207 Date:01/01/2019

Subject Name: Business Statistics (BS)

Time: 10:30 AM To 01:30 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 Explain following terms with the help of suitable example. 14

(a) Skewness

(b) Frequency Distribution

(c) Conditional Probability

(d) Box Plot

(e) Coefficient of Variation

(f) Empirical rule

(g) Level of Significance

Q. 2 (a) Explain four levels of measurement with suitable example. 07

(b) The following data represent the sales of car tyres of several brands by a retail showroom of

tyres during the year 2001-02. 07

Brand of

Tyre

Dunlop Modi Firestone Ceat Goodyear JK

Tyres Sold 136 221 138 84 101 120

(i) Construct a relative and percentage frequency distribution.

(ii) Construct a bar and pie chart. Which of these charts you prefer to use? Why?

OR

(b) From a sales force of 150 persons, one will be selected to attend a special sales meeting. If

52 of them are unmarried, 72 are college graduates and 3/4

th

of the 52 unmarried are college

graduates, find the probability that the salesperson selected at random will be neither single nor

a college graduate. 07

Q. 3 (a) List out the characteristics of Binomial and Poisson distribution along with the

parameters mean and standard deviation. 07

(b) The mean inside diameter of a sample of 500 washers produces by a machine is 5.02 mm

and standard deviation is 0.05 mm. The purpose for these washers are intended allows

maximum tolerance in the diameter of 4.96 to 5.08 mm, otherwise the washers are considered

defective. Determine the percentage of defective washers produced by the machine, assuming

the diameters are normally distributed. 07

OR

Page 2 of 3

Q. 3 (a) Write a note on non-parametric tests. 07

(b) National Healthcare Company samples its hospital employees? attitude towards

performance in different regions. Respondents are given a choice between the present method

of two reviews a year and a proposed new method of quality reviews. The responses are given

below

Details North South East West

Method I 68 75 79 57

Method II 32 45 31 33

Test whether there is any significance difference in the attitude of employees in different

regions at 5 % level of significance. 07

Q. 4. (a) Write a note on the following: 07

(i) Null and alternate hypothesis

(ii) Type I and Type II error

(iii) One tailed and two tailed test.

(b) An automobile tyre manufacturer claims that the average life of a particular grade of tyre is

more than 20000km when used under normal conditions. A random sample of 16 tyres was

tested and a mean and standard deviation of 22000 Km and 5000 km, respectively were

computed. Assuming the life of the tyres in Km to be approximately normally distributed,

decide whether the manufacturer?s claim is valid. Consider level of Significance is 5%. 07

OR

Q. 4 (a) (i) List the assumption used in simple linear regression model. 07

(ii) List the assumptions in one way ANOVA.

(b) The following data relating to the number of weeks of experience in a job involving the

wiring of an electric motor and the number of motors rejected during the past week for 12

randomly selected workers.

Workers Experience (weeks) No of Rejects

1 2 26

2 9 20

3 6 28

4 14 16

5 8 23

6 12 18

7 10 24

8 4 26

9 2 38

10 11 22

11 1 32

12 8 25

Determine the linear regression equation for estimating the number of components rejected

given the number of weeks of experience. 07

FirstRanker.com - FirstRanker's Choice

Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER 1 ? EXAMINATION ? WINTER 2018

Subject Code: 4519207 Date:01/01/2019

Subject Name: Business Statistics (BS)

Time: 10:30 AM To 01:30 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 Explain following terms with the help of suitable example. 14

(a) Skewness

(b) Frequency Distribution

(c) Conditional Probability

(d) Box Plot

(e) Coefficient of Variation

(f) Empirical rule

(g) Level of Significance

Q. 2 (a) Explain four levels of measurement with suitable example. 07

(b) The following data represent the sales of car tyres of several brands by a retail showroom of

tyres during the year 2001-02. 07

Brand of

Tyre

Dunlop Modi Firestone Ceat Goodyear JK

Tyres Sold 136 221 138 84 101 120

(i) Construct a relative and percentage frequency distribution.

(ii) Construct a bar and pie chart. Which of these charts you prefer to use? Why?

OR

(b) From a sales force of 150 persons, one will be selected to attend a special sales meeting. If

52 of them are unmarried, 72 are college graduates and 3/4

th

of the 52 unmarried are college

graduates, find the probability that the salesperson selected at random will be neither single nor

a college graduate. 07

Q. 3 (a) List out the characteristics of Binomial and Poisson distribution along with the

parameters mean and standard deviation. 07

(b) The mean inside diameter of a sample of 500 washers produces by a machine is 5.02 mm

and standard deviation is 0.05 mm. The purpose for these washers are intended allows

maximum tolerance in the diameter of 4.96 to 5.08 mm, otherwise the washers are considered

defective. Determine the percentage of defective washers produced by the machine, assuming

the diameters are normally distributed. 07

OR

Page 2 of 3

Q. 3 (a) Write a note on non-parametric tests. 07

(b) National Healthcare Company samples its hospital employees? attitude towards

performance in different regions. Respondents are given a choice between the present method

of two reviews a year and a proposed new method of quality reviews. The responses are given

below

Details North South East West

Method I 68 75 79 57

Method II 32 45 31 33

Test whether there is any significance difference in the attitude of employees in different

regions at 5 % level of significance. 07

Q. 4. (a) Write a note on the following: 07

(i) Null and alternate hypothesis

(ii) Type I and Type II error

(iii) One tailed and two tailed test.

(b) An automobile tyre manufacturer claims that the average life of a particular grade of tyre is

more than 20000km when used under normal conditions. A random sample of 16 tyres was

tested and a mean and standard deviation of 22000 Km and 5000 km, respectively were

computed. Assuming the life of the tyres in Km to be approximately normally distributed,

decide whether the manufacturer?s claim is valid. Consider level of Significance is 5%. 07

OR

Q. 4 (a) (i) List the assumption used in simple linear regression model. 07

(ii) List the assumptions in one way ANOVA.

(b) The following data relating to the number of weeks of experience in a job involving the

wiring of an electric motor and the number of motors rejected during the past week for 12

randomly selected workers.

Workers Experience (weeks) No of Rejects

1 2 26

2 9 20

3 6 28

4 14 16

5 8 23

6 12 18

7 10 24

8 4 26

9 2 38

10 11 22

11 1 32

12 8 25

Determine the linear regression equation for estimating the number of components rejected

given the number of weeks of experience. 07

Page 3 of 3

Case Study

Q 5 Police records show the following numbers of daily crime reports for a sample number of

days during the winter months and a sample number of days during the summer months. 14

Winter: 18 20 15 16 21 20 12 16 19 20

Summer: 28 18 24 32 18 29 23 38 28 18

a. Compute the Mean, median and mode for each period.

b. Compute the Range and Interquartile range for each period.

OR

a. Compute the variance and Standard deviation for each period.

b. Compute the coefficient of variation for each period.

*************

FirstRanker.com - FirstRanker's Choice

This post was last modified on 19 February 2020