The Associate Dean of a Business School was looking for ways to improve the qual
ID: 3230201 • Letter: T
Question
The Associate Dean of a Business School was looking for ways to improve the quality of the applicants to its MBA program. In particular, she wanted to know whether the undergraduate degree of applicants differed among her school and the three nearby university with MBA programs. She sampled 100 applicants of her program and an equal number from each of the other Universities. She recorded their undergraduate degrees (1=BA, 2=BEng, 3=BBA, 4=other) as well as the university codes (1, 2, 3, 4)—see attached Excel File. Use the appropriate tabular technique and graph to determine whether the undergraduate degree and the university each person applied to appear related.
Unversity BA Beng BBA other total 100 34 11 2 52 14 27 7 100 100 31 18 24 27 4 40 12 42 100 48 400 total 167 121 64Explanation / Answer
here applying chi square test of independence:
from above degree of freedom =9 and chi stat =43.3596
for above stat ; p value =0.0000
as p value is significant; we reject null hypothesis and conclude that undergraduate degree and the university each person applied are related
Observed O BA Beng BBA Other Total 1.00 44 11 34 11 100 2.00 52 14 27 7 100 3.00 31 27 18 24 100 4.00 40 12 42 6 100 Total 167 64 121 48 400 Expected E=rowtotal*column total/grand total BA Beng BBA Other Total 1 41.750 16.000 30.250 12.000 100 2 41.750 16.000 30.250 12.000 100 3 41.750 16.000 30.250 12.000 100 4 41.750 16.000 30.250 12.000 100 Total 167 64 121 48 400 chi square =(O-E)^2/E BA Beng BBA Other Total 1 0.121 1.5625 0.4649 0.0833 2.232 2 2.516 0.250 0.349 2.083 5.199 3 2.768 7.563 4.961 12.000 27.291 4 0.073 1.000 4.564 3.000 8.637 Total 5.479 10.375 10.339 17.167 43.3596Related Questions
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