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Intro to Stats 2nd Semester Study Guide Name:____________________________ Study Guide Situation: This data shows the birth rates (number of births per thousand population) and the GNP (in thousands of dollars per capita) for a random selection of countries from around the world. Birthrate and GNP Birthrate and GNP Country Birthrate... GNP GNPori... Country Birthrate... GNP GNPori... 1 Algeria 18.9 1.72 11 1720 Israel 18.9 16.02 16020 2 Argentina 17.7 4.22 12 4220 Japan 9.6 34.01 34010 3 Australia 12.7 19.53 13 19530 Malaysia 24.2 3.54 3540 4 Brazil 18.1 2.83 14 2830 Mexico 22.3 5.92 5920 5 Denmark 12 30.26 15 30260 Nigeria 39.2 0.3 300 6 Egypt 24.9 1.47 16 1470 Pakistan 32.8 0.42 420 7 France 12.7 22.24 17 22240 Philippines 26.8 1.03 1030 8 Germany 8.8 22.74 18 22740 Spain 10 14.58 14580 9 India 23.8 0.47 19 470 11.1 25.51 25510 10 Indonesia 21.9 0.71 710 11 Israel 18.9 16.02 16020 United Ki... Part I. Analyze the birth rates for the sample of countries by doing the following: 1. Compute the following statistics: a. Minimum: _______________ b. Maximum: _______________ c. Range: _______________ d. Q1: _______________ e. Median f. Q3: _______________ g. Mean: _______________ h. Standard Deviation: _______________ i. Outliers: _______________ 2. Sketch the boxplot for the birth rates: Intro to Stats 2nd Semester Study Guide Name:____________________________ 3. Sketch the histogram for the birth rates: 4. Use your information from 1 – 3 above to describe the shape, center, and spread of the distribution for the birth rates of these countries: Part II. Analyze the GNP for the sample of countries by doing the following: 5. Compute the following statistics: a. Minimum: _______________ b. Maximum: _______________ c. Range: _______________ d. Q1: _______________ e. Median _______________ f. Q3: _______________ g. Mean: _______________ h. Standard Deviation: _______________ i. Outliers: _______________ 6. Sketch the boxplot for the GNP for the sample of countries: Intro to Stats 2nd Semester Study Guide Name:____________________________ 7. Sketch the histogram for the GNP for the sample of countries: 8. Use your information from 5 - 7 above to describe the shape, center, and spread of the distribution for the GNP for the sample of countries: Part III. Use your inference procedures and the birth rate/GNP data on page 1 to do the following (be sure to give the name of the procedure you are using, comment on whether the conditions for your procedure are met, and describe your conclusion in context): 9. Compute a 95% CI for the proportion of all countries in the world that have a higher birth rate than GNP. 10. Is there significant statistical evidence that the mean birth rate in all countries in the world is greater than 19 births per thousand? Intro to Stats 2nd Semester Study Guide Name:____________________________ 11. Is there significant statistical evidence that there is a mean difference in the birth rate and GNP in countries world wide? Part IV. Analyze the relationship between birth rate and GNP: 12 Sketch a scatterplot of the data and calculate the correlation coefficient. 13. Describe why you think there is or is not a linear relationship between birth rate and GNP, based on your answer to 12 only! 14. Calculate the LSRL to predict the GNP for countries of the world: a. LSRL Equation: ___________________________ b. Slope: _______________ c. Intercept: _______________ d. R2: _______________ Intro to Stats 2nd Semester Study Guide Name:____________________________ 15. Is there statistical evidence of a linear relationship between birth rate and GNP (DO a Test of Significance!)?