The data listed on the following page were "obtained" from a random sample of "Ivy" College seniors (actually, I made them up); the senior class consisted of 350 members. Using Stata, SPSS, or another computer-based statistics package analyze these data and answer the questions below. Click here, to display the data in a form that they can be saved as a text file for input into a statistics package.

In creating the computer file and doing the problems you must use the statistical package's command language; listings of these files (but not of the output) must be turned in as part of the assignment.

1. Is there a relationship between religion and major?



2. Is there a relationship between religion and total SAT Score?



3. Describe the relationship between SAT verbal and SAT math scores; how strong is the relationship? Is it statistically significant?



4. Is there a difference in average SAT Verbal scores for men and women? SAT Math scores?



5. Obtain a 95% interval estimate for the difference in performance between men and women at "Ivy" [Hint: you should take advantage of the fact that class rank has a uniform distribution]. Would you be prepared to conclude that there was in fact a difference in performance?



6. Is class rank related to total SAT score?



7. Obtain a 99% interval estimate of the average total SAT scores of all "Ivy" seniors.



8. Is it reasonable to presume that this is in fact a random sample of seniors, or is there evidence that the sample over represents students who performed well in college?

NOTE: The scores on the SAT tests are designed to have an underlying normal distribution.

----------------------------------------------------------------------------
Class       Parents'        SAT       SAT       Major2    Religion3    Sex4
Rank        Income1        Verbal     Math
----------------------------------------------------------------------------
 12            3            675       702         1           1         1 
 40            3            725       610         2           2         2 
 65            3            650       670         2           1         1 
  3            3            700       750         3           3         2 
 89            3            621       675         1           3         2 
210            1            580       610         1           1         1 
155            2            575       580         1           1         1 
305            1            580       560         2           2         2 
 17            2            700       610         2           1         2 
 29            2            680       685         1           1         1 
 66            3            610       580         1           1         1 
276            2            580       590         3           1         1 
187            1            590       625         1           2         2 
337            1            550       605         3           2         1 
 45            3            680       650         2           1         2 
121            2            710       600         3           3         1 
201            1            550       590         1           2         2 
 62            2            600       585         2           1         1 
191            1            580       550         3           2         1 
261            1            550       585         1           1         2 
275            1            525       550         3           2         1 
134            3            580       670         1           3         2 
 37            2            700       780         1           1         1 
 83            2            650       670         3           3         1 
----------------------------------------------------------------------------

11=low, 2=medium, 3=high 

21=science, 2=humanities, 3=social sciences 

31=Protestant, 2=Catholic, 3=Jewish 

41=male, 2=female 


Bert Kritzer, 608-263-2277, Kritzer@PoliSci.Wisc.Edu  
Last modified, February 1, 2001