Bay Area Community College (BACC) has collected data comparing the starting salaries of
6. Bay Area Community College (BACC) has collected data comparing the starting salaries of their graduating students with last names beginning with the letters A through M with those whose last names begin with N through Z. The first category, A through M, provided 47 random responses . The second category, N through Z, had 52 random responses . (12 pts)
Students_A_M  Students_N_Z 
32890  21098 
23000  19880 
29015  25098 
31898  18993 
29466  20891 
27890  25876 
30654  23091 
31973  24562 
21456  18076 
22999  27889 
32776  22101 
30434  20993 
34954  21788 
36987  23569 
20876  20965 
27654  23458 
29432  24567 
31876  23863 
30987  20962 
29670  22553 
22579  21098 
35985  24898 
32470  21964 
28763  23009 
29415  21890 
35071  24874 
25983  19823 
21880  24538 
35593  24729 
22569  23789 
29841  25698 
32650  20436 
29427  24990 
29996  21343 
31874  23451 
23195  21099 
34990  25765 
29845  22567 
29996  27899 
33889  21005 
25182  22890 
36201  24321 
22994  21054 
35789  22378 
23198  27654 
29468  25645 
29379  19765 
23109 

18654 

22891 

19804 

25993 

a) If you assume that last names should not have an impact on starting salary of graduates of BACC, then what is the appropriate null hypothesis?
b) State the research hypothesis in words and in notation.
c) Calculate the appropriate test statistic.
d) Calculate the appropriate pvalue for the test statistic.
e) Is the statistic statistically significant?
f) What type of error if any has been committed?
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