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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
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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.
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No of boys
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5
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4
|
5
|
2
|
1
|
0
|
|
No of girls
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0
|
1
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0
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3
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4
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5
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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.
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Conc of quinine
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0.00
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0.10
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0.20
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0.30
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0.40
|
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Fluorescence intensity
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0.00
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5.2
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9.80
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12.30
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17.10
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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:
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General Instrument
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11
|
12
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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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