In order to study the amount of saving and income of two populations of employees (boys and girls), two samples of twenty observations are drawn from each population, and the data is given below. Questions: 1. Can you develop a suitable hypothesis to compare between the two populations? 2. Discuss the following question without computations: Is it possible to compare between the means of the two populations? How it can be done? 3. Assume a=0.05;0.1 and interpret your results and give your conclusions.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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In order to study the amount of saving and income of two populations of employees (boys
and girls), two samples of twenty observations are drawn from each population, and the
data is given below.
Questions:
1. Can you develop a suitable hypothesis to compare between the two populations?
2. Discuss the following question without computations: Is it possible to compare
between the means of the two populations? How it can be done?
3. Assume a=0.05;0.1 and interpret your results and give your
conclusions.
Transcribed Image Text:In order to study the amount of saving and income of two populations of employees (boys and girls), two samples of twenty observations are drawn from each population, and the data is given below. Questions: 1. Can you develop a suitable hypothesis to compare between the two populations? 2. Discuss the following question without computations: Is it possible to compare between the means of the two populations? How it can be done? 3. Assume a=0.05;0.1 and interpret your results and give your conclusions.
P1 (boys)
Saving Income Saving
P2 (girls)
Income
7.6
76
12.96
72
8.2
82
10.26
57
7.2
72
12.78
71
6.4
64
10.62
59
7.7
77
9.90
55
8.1
81
10.62
59
7.2
72
13.50
75
80
11.52
64
7.1
71
12.06
67
7.3
73
12.24
68
6.8
68
11.88
66
8.7
87
11.34
63
9.6
96
10.98
61
7.2
72
12.24
68
7.2
72
9.90
55
7.2
72
10.98
61
7
70
11.52
64
8.6
86
13.14
73
70
12.06
67
7.2
72
11.16
62
Transcribed Image Text:P1 (boys) Saving Income Saving P2 (girls) Income 7.6 76 12.96 72 8.2 82 10.26 57 7.2 72 12.78 71 6.4 64 10.62 59 7.7 77 9.90 55 8.1 81 10.62 59 7.2 72 13.50 75 80 11.52 64 7.1 71 12.06 67 7.3 73 12.24 68 6.8 68 11.88 66 8.7 87 11.34 63 9.6 96 10.98 61 7.2 72 12.24 68 7.2 72 9.90 55 7.2 72 10.98 61 7 70 11.52 64 8.6 86 13.14 73 70 12.06 67 7.2 72 11.16 62
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