Statistics Assignment 3 Solution

The CIA’s World Factbook Website was used to collect information from a sample of 34 countries. For this question smaller samples, as indicated by the computer output, have been selected. The variables recorded for this study were: Country Median_Age Birth_Rate Death_Rate Expectancy Fertility_Rate Region Land_locked Name of country Median age of the population Number of births per 1000 population Number of deaths per 1000 population Life expectancy for total population Number of children born per woman Region in which the country is located 1 = Asia, 2 = Europe, 3 = Africa, 4 = South America, The country is entirely bordered by land 0 = No, 1 = Yes

5 = Oceania

Note: This data set was used in the 2003 End-of-Year Examination paper.

Question 1

Research Question

10 marks total

Is there a difference in the fertility rates of women in Africa compared to women in Europe/Asia? Comparison: Region Europe/Asia Africa Difference Fertility_rate Size Mean 13 2.698 13 5.149 13 2.452

Region

SE 0.366 0.330 0.476

StDev 1.320 1.189 1.717

Eur_Asia

Africa

Difference

-2

0

2 Fertility_Rate

4

6

8

The above output refers to the fertility rates of women from 13 randomly selected countries in Europe/Asia and the fertility rates of women from 13 randomly selected countries in Africa. Using appropriate parts of the output, answer the research question in the spaces provided on the next page.

Stat170/2011/I1/Assignment 3

1

Question 1

continued

1 mark each, 3 total

Study Information:

Target population: All countries in Europe/Asia and Africa Sample: A random sample of countries from each of the 2 regions Variable of Interest: Fertility rate of women in each country Data Summaries: Group 2:(Europe/Africa): Group 1 (Africa): Hypothesis Test: H0: μ1 – μ2 = 0 HA: μ1 – μ2 ≠ 0 Assumptions: 1. Independence: fertility rates are likely to be independent from one country to another 2. Randomisation: The 13 countries were selected...