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 .
Students_A_M Students_N_Z
32,890 21098
23000 19880
29015 25098
31898 18993
29466 20891
27890 25876
30654 23091
31973 24562
21456 18076
22,999 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
22,569 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 p-value for the test statistic.
e) Is the statistic statistically significant?
f) What type of error if any has been committed?