Question

Check if the following data set corresponds to normal distribution or not?

Life Expectancies for Men in European Countries in 2011:

73 79 67 78 69 66 78 74 71 74 79 75 77 71 78 78 68 78 78 71 81 79 80 80 62 65 69 68 79 79 79 73 79 79 72 77 67 70 63 82 72 72 77 79 80 80 67 73 73 60 65 79 66

Answer 1

To test that given sample is come from normal population or not we use Shapiro-Wilk test for normality using R

corresponding hypothesis are

H₀ : Given data set is normally distributed

H₁ : Given data set is not normally distributed

We use R-software to do the Shapiro-Wilk test

from following picture of R console we can see that P-Value of Shapiro test is 0.001239 which is less than 0.05 therefore we reject the null hypothesis that Given data is normally distributed

Conclusion : Given data set of Life Expectancies for Men in European Countries is not correspond to normal distribution.