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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?
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