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AIMA University Assignments BUSINESS STATISTICS
 
Product Name : BUSINESS STATISTICS
Product Code : AC2
Category : AIMA University
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GM03


 

BUSINESS STATISTICS


 

Assignment II



 

Assignment Code: 2014GM03A2    Last Date of Submission: 15th May 2014 Maximum Marks: 100


 

Attempt all the questions. All the questions are compulsory and carry equal marks.


 

Section‐A


 

1.    Ten students are given coaching for environmental statistics. The score obtained in tests 1 and 5 are given below:


 

Sl No of student

1

2

3

4

5

6

7

8

9

10

Marks in 1st test

50

52

53

60

65

67

48

69

72

80

Marks in 5th test

65

55

65

65

60

67

49

82

74

86


 

Does the score from test 1 to test 5 shown an improvement? Test at 5% level of significance.


 

2.    A random sample of 1000 workers from environmental consultancy shows that their mean wages are Rs. 470 per week with a standard deviation of Rs. 280 per week. A random sample of 1500 workers from environmental contaminant monitoring shows a mean wage of Rs. 490 per week with a standard deviation of Rs. 400. Is there any significance difference between their mean level of wages. Use 5% level of significance.


 

3.    A survey of families with 5 children each have revealed the following distribution.


 

No of boys

5

4

5

2

1

0

No of girls

0

1

0

3

4

5


 

Assuming that the births of males and females are equally probable is the result consistent. Use 5% level of significance. (chi‐square goodness of fit test)

 

 

4.    Quinine may be determined by measuring the fluorescence intensity in IM sulphuric acid. Standard solutions of quinine gave the following fluorescence values. Calculate the correlation coefficient.


 

Conc of quinine

0.00

0.10

0.20

0.30

0.40

Fluorescence intensity

0.00

5.2

9.80

12.30

17.10


 

If the intensity was observed to be 14.85 what is the conc of quinine likely to be in the solution.


 

Section‐B


 

Case Study


 

5.    Three new high‐definition television models are compared. The distances (in milesx10) over which a clear signal is received in random trials for each of the models are given below:


 

General Instrument

11

12

13

12

12

12

14

12

12

13

12

13

13

13

14

Phillips

12

12

12

12

13

11

11

12

12

13

11

12

12

13

11

Zenith

11

10

11

10

11

9

10

10

8

8

7

9

10

10

8

 
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