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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
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
27899
33889
21005
25182
22890
36201
24321
22994
21054
35789
22378
23198
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?
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