Question

In: Statistics and Probability

The data below shows the life expectancy of men and women in different countries: LifeExpMale LifeExpFemale...

  1. The data below shows the life expectancy of men and women in different countries:
 
LifeExpMale
LifeExpFemale
Argentina
74
67
Bangladesh
53
54
Brazil
68
62
Canada
80
73
China
72
68
Colombia
74
68
Egypt
61
60
Ethiopia
53
50
France
82
74
Germany
79
73
India
58
57
Indonesia
63
59
Iran
65
64
Italy
82
75
Japan
82
76
Kenya
63
59
Korea.North
73
67
Korea.South
73
67
Mexico
76
68
Morocco
66
63
Burma
56
53
Pakistan
57
56
Peru
67
62
Philippines
67
62
Poland
77
69
Romania
75
69
Russia
74
64
South.Africa
67
61
Spain
82
75
Sudan
54
52
Taiwan
78
72
Tanzania
55
50
Thailand
71
66
Turkey
72
68
Ukraine
75
66
UK
79
73
USA
79
72
Venezuela
78
71
Vietnam
67
63
Zaire
56
52

a. what test should you use to test the two data sets (male and female life expectancy) for normality and why? (2 points)

b. Run that test on both variables.   Report the results below (2 points).  

  1. What do you conclude in each case. Explain! (2 points)
  1. Should you use a Pearson’s or a Spearman’s Rank Correlation for this data? Why? (2 points)


e. Calculate the correlation coefficient using SPSS. What is the value of r for this data set? (2 points)

  1. What do you conclude about the type of correlation (positive / negative, significant / non-significant)? Explain using information from the SPSS output (3 points)

Solutions

Expert Solution

a. what test should you use to test the two data sets (male and female life expectancy) for normality and why? (2 points)

The Anderson-Darling test because it gives the normality information correctly.

b. Run that test on both variables.   Report the results below (2 points).  

  1. What do you conclude in each case. Explain! (2 points)

Males' data is not normally distributed.

  1. Should you use a Pearson’s or a Spearman’s Rank Correlation for this data? Why? (2 points)

Pearson’s Correlation because the data is not ranked.

e. Calculate the correlation coefficient using SPSS. What is the value of r for this data set? (2 points)

r = 0.979

  1. What do you conclude about the type of correlation (positive / negative, significant / non-significant)? Explain using information from the SPSS output (3 points)

There is a strong positive significant relationship between the variables.


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