On thefollowing text Web site http://wps.aw.com/aw_stock_ie_3/178/45691/11696965.cw/index.html
you will find a data file CPS92_O8 that contains an extendedversion of the dataset used in Table 3.1 of Stock&Watson (3rdedition) for the years 1992 and 2008. It contains data on full-time, full-yearworkers aged 25-34, with a high school diploma or B.A./B.S. as their highestdegree. A detailed description is given in CPS92_08_Description,available on the Web site. Use these data to answer the following questions.
1. Compute the sample mean for averagehourly earnings (AHE) in 1992 and in 2008. Construct a 95% confidence intervalfor the population means of AHE in 1992 and 2008 and the change between 1992and 2008.
- 2. In 2008, the value of the ConsumerPrice Index (CPI) was 215.2. In 1992, the value of the CPI was 140.3. Repeat(1) but use AHE measured in real 2008 dollars ($2008); that is, adjust the 1992data for the price inflation that occurred between 1992 and 2008.
- 3. If you were interested in the changein workers’ purchasing power from 1998 to 2008, would you use the results from(1) or from (2)? Explain
- 4. Use the 2008 data to construct a 95%interval for the mean of AHE for high school graduates. Construct a 95%confidence interval for the mean of AHE for workers with college degree.Construct a 95% confidence interval for the difference between the two means.
- 5. Repeat (4) using the 1992 dataexpressed in $2008.
- 6. Did real (inflation-adjusted) wagesof high school graduates increase from 1992 to 2008? Explain. Did the gapbetween earnings of college and high school graduates increase? Explain, usingappropriate estimates, confidence intervals and tests statistics.
- 7. Table 3.1 presents information onthe gender gap for college graduates. Prepare a similar table for high schoolgraduates using the 1992 and 2008 data. Are there any notable differencesbetween the results for high school and college graduates?