Download GTU (Gujarat Technological University) MBA (Master of Business Administration) 2019 Summer 2nd Sem 4529901 Business Statistics Bs Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
MBA (PART TIME) ? SEMESTER 2 ? EXAMINATION ? SUMMER 2019
Subject Code: 4529901 Date: 09/05/2019
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 Definitions / terms / explanations / short questions
a) Explain different types of kurtosis.
b) Level of significance.
c) Type II error.
d) Types of correlation.
e) List assumptions of simple linear regression.
f) Give interpretation of a Spearman?s Rank coefficient of -1.
g) Give names of some bivariate non parametric tests.
14
Q.2 (a) Explain properties of Normal Distribution. 07
(b) The average percentage of failures in a certain examination is 40.
a) What is the probability that out of a group of 6 candidates, at least
4 passed in the examination?
b) What is the probability that at the most 2 passed?
07
OR
(b) Major problems in aircraft landing are very rare in an international
airport. The number of major problems are Poisson distributed with a
mean of 5 per year.
a) What is the probability that no major problem will occur in a year?
b) What is the probability that three or fewer major problem will
occur in a year?
07
Q.3 (a) A student studying MBA is considering three possible careers in
Pharmaceutical Industry: Finance, Sales and HRM. Since she is interested
in rapid advancement, she has surveyed the advancement of 18 top
executives in each of these areas. The ages at which current executive
level rank was reached are shown below:
07
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Page 1 of 3
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
MBA (PART TIME) ? SEMESTER 2 ? EXAMINATION ? SUMMER 2019
Subject Code: 4529901 Date: 09/05/2019
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 Definitions / terms / explanations / short questions
a) Explain different types of kurtosis.
b) Level of significance.
c) Type II error.
d) Types of correlation.
e) List assumptions of simple linear regression.
f) Give interpretation of a Spearman?s Rank coefficient of -1.
g) Give names of some bivariate non parametric tests.
14
Q.2 (a) Explain properties of Normal Distribution. 07
(b) The average percentage of failures in a certain examination is 40.
a) What is the probability that out of a group of 6 candidates, at least
4 passed in the examination?
b) What is the probability that at the most 2 passed?
07
OR
(b) Major problems in aircraft landing are very rare in an international
airport. The number of major problems are Poisson distributed with a
mean of 5 per year.
a) What is the probability that no major problem will occur in a year?
b) What is the probability that three or fewer major problem will
occur in a year?
07
Q.3 (a) A student studying MBA is considering three possible careers in
Pharmaceutical Industry: Finance, Sales and HRM. Since she is interested
in rapid advancement, she has surveyed the advancement of 18 top
executives in each of these areas. The ages at which current executive
level rank was reached are shown below:
07
Page 2 of 3
Finance Sales HRM
46 38 45
48 43 44
52 39 47
43 45 46
47 36 46
51 43 39
At 5% level of significance, can this student conclude that the three areas
offer her the same opportunity?
Q.3 (b) Ten female respondents are exposed to an advertising campaign about a
fairness cream. The results are given below:
Respondent 1 2 3 4 5 6 7 8 9 10
Score Before 35 37 38 36 40 35 30 38 36 38
Score After 40 38 39 36 44 45 35 37 40 45
Test whether the advertisement campaign is successful at a level of
significance of 5%.
07
OR
Q.3 (a) The following data gives the aptitude test scores and productivity indices
of 10 workers selected at random.
Aptitude Score (X) 60 62 65 70 72 48 53 73 65 82
Productivity Index (Y) 68 60 62 80 85 40 52 62 60 81
By using simple linear regression analysis, estimate the productivity index
of a worker whose test score is 90.
07
Q.3 (b) The breaking strength of cables produced by a manufacturer has a mean
of 1800 kg and a standard deviation of 100 kg. By a new technique of
manufacturing process it is claimed that the breaking strength will be
increased.
To test this claim a sample of 50 cables were tested and it is found that the
mean breaking strength is 1850 kg. Can we support the claim at a
significance level of 1%?
07
Q.4 (a) What are non-parametric tests? Explain Kruskal ? Wallis Test and when it
can be used.
07
(b) Two housewives were asked to express their preferences about different
kind of detergents available in the market. The result of the same is shown
Detergent A B C D E F G H I J
Neena 1 2 4 3 7 8 6 5 9 10
Meena 1 4 2 3 5 7 6 8 9 10
To what extent the preferences of the two ladies match?
07
OR
Q.4 (a) What is Discriminant Analysis? Give some practical use of Discriminant
Analysis in Business?
07
(b) The retail sale of clothes is classified as low, moderate and high,
according to the volume of sales and during the four quarters of a calendar
year the actual sales is mentioned in lacs in the table below:
07
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Page 1 of 3
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
MBA (PART TIME) ? SEMESTER 2 ? EXAMINATION ? SUMMER 2019
Subject Code: 4529901 Date: 09/05/2019
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 Definitions / terms / explanations / short questions
a) Explain different types of kurtosis.
b) Level of significance.
c) Type II error.
d) Types of correlation.
e) List assumptions of simple linear regression.
f) Give interpretation of a Spearman?s Rank coefficient of -1.
g) Give names of some bivariate non parametric tests.
14
Q.2 (a) Explain properties of Normal Distribution. 07
(b) The average percentage of failures in a certain examination is 40.
a) What is the probability that out of a group of 6 candidates, at least
4 passed in the examination?
b) What is the probability that at the most 2 passed?
07
OR
(b) Major problems in aircraft landing are very rare in an international
airport. The number of major problems are Poisson distributed with a
mean of 5 per year.
a) What is the probability that no major problem will occur in a year?
b) What is the probability that three or fewer major problem will
occur in a year?
07
Q.3 (a) A student studying MBA is considering three possible careers in
Pharmaceutical Industry: Finance, Sales and HRM. Since she is interested
in rapid advancement, she has surveyed the advancement of 18 top
executives in each of these areas. The ages at which current executive
level rank was reached are shown below:
07
Page 2 of 3
Finance Sales HRM
46 38 45
48 43 44
52 39 47
43 45 46
47 36 46
51 43 39
At 5% level of significance, can this student conclude that the three areas
offer her the same opportunity?
Q.3 (b) Ten female respondents are exposed to an advertising campaign about a
fairness cream. The results are given below:
Respondent 1 2 3 4 5 6 7 8 9 10
Score Before 35 37 38 36 40 35 30 38 36 38
Score After 40 38 39 36 44 45 35 37 40 45
Test whether the advertisement campaign is successful at a level of
significance of 5%.
07
OR
Q.3 (a) The following data gives the aptitude test scores and productivity indices
of 10 workers selected at random.
Aptitude Score (X) 60 62 65 70 72 48 53 73 65 82
Productivity Index (Y) 68 60 62 80 85 40 52 62 60 81
By using simple linear regression analysis, estimate the productivity index
of a worker whose test score is 90.
07
Q.3 (b) The breaking strength of cables produced by a manufacturer has a mean
of 1800 kg and a standard deviation of 100 kg. By a new technique of
manufacturing process it is claimed that the breaking strength will be
increased.
To test this claim a sample of 50 cables were tested and it is found that the
mean breaking strength is 1850 kg. Can we support the claim at a
significance level of 1%?
07
Q.4 (a) What are non-parametric tests? Explain Kruskal ? Wallis Test and when it
can be used.
07
(b) Two housewives were asked to express their preferences about different
kind of detergents available in the market. The result of the same is shown
Detergent A B C D E F G H I J
Neena 1 2 4 3 7 8 6 5 9 10
Meena 1 4 2 3 5 7 6 8 9 10
To what extent the preferences of the two ladies match?
07
OR
Q.4 (a) What is Discriminant Analysis? Give some practical use of Discriminant
Analysis in Business?
07
(b) The retail sale of clothes is classified as low, moderate and high,
according to the volume of sales and during the four quarters of a calendar
year the actual sales is mentioned in lacs in the table below:
07
Page 3 of 3
Volume
of sale
Quarter
I II III IV
Low 18 10 7 5
Moderate 17 16 17 20
High 5 14 26 35
Is there a significant evidence the in above data to show that the volume
of retail sale of clothes depends on the period of the year? (Take ? = 5%)
Q.5
A survey was carried out to study how much a young couple spends on
eating out at fast food joints per occasion.
The following data was collected after questioning 100 young couples.
Amount Spent
(Rs.)
per occasion
No of
Young
Couples
200 - 400 5
400 - 600 19
600 - 800 30
800 - 1000 26
1000 - 1200 20
Answer the following:
a) What is the average and modal spending of the couples per occasion?
b) Analyze whether the spending is skewed? On which side?
OR
a) What is the median spending of the couples per occasion?
b) By using quartiles, find above which amount 75% of the young couples
spend? Also find above which amount 25% of the young couples spend?
14
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This post was last modified on 19 February 2020