You and two other people have applied for a job on campus and the supervisor wan

Question

You and two other people have applied for a job on campus and the supervisor wants to pick the student who got the highest mid-term exam score on a 300-level class, because she thinks that student will do the best job. You are each currently taking one 300-level class. It turns out that each of the three of you got an 80 on your mid-term exam. Using the information in the following table about the means and standard deviations for the exam scores, calculate the z scores and percentile ranks for each of you and make your case for why you should be the one that was hired. Mean Grade Standard Deviation Person A You Person B 90 60 8 x3

Explanation / Answer

for person A: zscore =(X-mean)/std deviation =(80-90)/3 =-3.33 =~ 0.04 percentile

for You: zscore =(X-mean)/std deviation =(80-60)/3 =-6.67 = 100th percentile

for person B: zscore =(X-mean)/std deviation =(80-81)/3 =-0.33 =~36.94 percentile

as the percentile ranking of the preson is highest among his own distribution of mid term exam score therefore his relative stregth is higher than other candidates in heir respective groups.

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