On an achievement test the mean and standard deviation for grade 5 males were 76 and 9.0 respectively. On the same test the mean and standard deviation for grade 7 female students were 70.0 and 6.0 respectively.
a. What percentage of 7th grade male scores fall above the mean of 7th grade female students?
b. What percentage of 7th grade female scores fall above the mean of 7th grade male students?
3. In the process of selecting candidates for a graduate program, two faculty members read and rated the admission test of the candidates. Each faculty member rates the test on a scale of 1 (poor) to 30 (outstanding). The ratings for 12 applicants follow.
sub Judge A Judge B
1 18 28
2 25 24
3 12 10
4 9 12
5 12 15
6 21 18
7 27 27
8 24 30
9 18 15
10 27 27
11 27 24
12 11 16
Assume the ratings are ordinal level measurement at best. What is the correlation between the judge’s ratings? Is it significant? What does your decision mean in the context of the exercise?
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