Question
You are a member of your local apartment association. The association represents rental housing owners and managers who operate rental properties. Recently, the association has
You are a member of your local apartment association. The association represents rental housing owners and managers who operate rental properties. Recently, the association has received several complaints from renters in a particular area that feel that rent is much higher compared to other parts of the city. You want to investigate the rental fees. You gather the data shown in the file rental.mtw that is available on the blog. Area A represents the area of the city where the renters are unhappy. The data represent the monthly rents paid by a random sample of renters in area A and three other areas of similar size. Assume all the apartments represented are approximately the same size with the same amenities.
1. Describe how you would investigate the complaints from renters who are unhappy about their monthly rents? 2. What statistical measure (only one) do you think would best represent the data sets for the four areas of the city? (Do this without plotting the data, which will happen later) 3. Calculate the measure from part (2) for each of the four areas. Display results in a table. 4. What type of graph would you choose to display the data? 5. Construct the graph or graphs from part (4). 6. Based on the graph or graphs, does it appear the rents in area A are higher than the rents in the other areas of the city? Do you get the same conclusion when you use the results from part (3)? Explain. 7. What other statistical measures we have discussed so far could you use to analyze the monthly rent? 8. Calculate the measure or measures in part (7) and display in a table. 9. Do the results of part (8) compare with your conclusions in part (6)? Explain. 10.Do you think the complaints of the renters of area A are legitimate? Explain.
Problem B
In the file world_bank_data.mtw there is data relating to health care taken from the World Bank website (http://wdi.worldbank.org/tables). Data is for 2012 and only countries for which all three variables were available is used. Health care spending per capita represents the total amount of money spent on health care in each country divided by the number of individuals in each country (USD per capita). Life expectancy is the average life expectancy at birth (in years) for each country. Infant mortality rate represents the number of infant deaths per 1,000 births. Recall from Wednesday, the formula for the z-score is z=x and it represents how many standard deviations away from the mean an observation is.
1. For health care spending, create one graph that best represents the data and find at most two statistics that best summarize the data. Using terms used in class, describe the data. Find the health care spending value for the United States. Calculate the z-score for health care spending for the United States. 2. For life expectancy, create one graph that best represents the data and find at most two statistics that best summarize the data. Using terms used in class, describe the data. Find the life expectancy value for the United States. Calculate the z-score for life expectancy for the United States. 3. Interpret the results of the z-scores for health care spending and life expectancy in the United States. What could you conclude from these results? 4. Repeat part (3) for a country of your choice. 5. For infant mortality rate, create one graph that best represents the data and find at most two statistics that best summarize the data. Using terms used in class, describe the data. Find the infant mortality rate value for the United States. Calculate the z-score for infant mortality rate for the United States. 6. Interpret the results of the z-scores for health care spending and infant mortality rate in
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