Question

1- We have two variables: infant mortality rate and the Mother’s age at first birth within 96 countries. The correlation between two variables is: (-0.8059528).

a) Do the t-test

b) Explain and interpret the correlation. Does it mean anything? (4-8 sentences)

2- On the other hand, we have two variables: infant mortality rate and the number of doctors within 147 countries. The correlation between two variables is : ( -0.6629184)

a) Which factor do you think is more important: The number of Dr.’s in a country or the mother’s mean age at first birth? Why? (4-8 sentences)

Answer 1

1-a) t-test

r is the correlation coefficient = -0.8059528

n total number of sample = 96

n - 2 is degree of freedom =(96 -2) = 94

t = 13.21

b) negative correlation between infant mortality rate and the mother age. t value is -13.21 and p-value is< 0.00001 so, the result is significant at p < 0.05.

2- a) t-test

r is the correlation coefficient = -0.6629184

n total number of sample = 147

n - 2 is degree of freedom =(147 -2) = 145

t= -10.5877479

negetive correletion between infant mortality rate and number of doctors. t value is -10.58 and p- value is < 0.00001 so, the result is significant at p < 0.05

so, the mother mean age of birth ismost important due to high correlation -0.8059528.