Complete the following sentence: “ 25% of the population of the world has a life expectancy at birth longer than 65.21 years old”.
According to another empirical study, you learned that life expectancy at birth worldwide is lower for men. Is this result consistent with the provided analysis? Explain?
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Yes.
Ha: σ 2 1 =σ 2 2 (Null Hypothesis)
Ha : σ 2 1 > σ 2 2 (Alternative Hypothesis)
In the lower tailed F test, the single critical value is 1.73, which is greater than the computed F which is 1.63. Therefore, we reject the null hypothesis that the two variances are equal and conclude that the life expectancy of birth worldwide is lower for men compared to women.
From the t-test assuming equal variances, since the p-value is less than our alpha, we reject the null hypothesis and conclude that the two means are not equal. Therefore, the life expectancy of men is less.
From the t-test assuming unequal means since the p-value is larger than our alpha, we fail to reject the null hypothesis and conclude that the life expectancy age of men is less than women
We are now interested in life expectancy by regions. Is there any significant association in life expectancy across regions? Justify your answer.
No.
From the chi-square test, the p-value is less than our chosen level of significance and hence we conclude that there is no significant relationship between life expectancy between regions.
Analyze life expectancy, according to both categories: developing and developed countries.
From the F test for two sample variances, the critical value is equal to the computed value and hence we conclude that life expectancy is greater in developed countries compared to developing countries
From the t-test assuming equal variances, the critical value 2.03 is greater than the computed t value -5.52 and hence we reject the null hypothesis and conclude that life expectancy in developed countries is greater than in developing countries.
Using the t-test two-sample unequal variances, the critical value is less than the observed value and hence we fail to reject the null hypothesis and conclude that life expectancy in developed countries is greater than in developing countries.
We want to investigate the effect of the number of people per physician on life expectancy. What can you say about the association between life expectancy and the number of people per physician? Explain the results. Life expectancy decreases with an increase in the number of people per physician . For both men and women, the p-value is less than the chi-square value hence we fail to reject the null hypothesis and conclude that the higher the number of people per physician, the lower the life expectancy.
