1. In an aptitude test given to a group of 200 applicants, the average score was 75 and the standard deviation was 5. If the scores are approximately normally distributed, about how many applicants got scores a. above 78? 78 - 75/5 = 0.6 0.5 - 0.2257 = 0.2743 or 27.43% 200 (0.2743) = 54.86 or 55 b. above 66? 66 - 75/5 = -1.8 0.5 + 0.4641 = 0.9641 or 96.41% 200 (0.9641) = 192.82 or 193 c. between 70 and 80? 70-75/5 = -1 80-75/5=1 0.1587 0.3413 0.3413-0.1587 = 0.1826 or 18.26% 200 (0.1826) = 36.52 or 37 2. Referring to the preceding problem, suppose only the top 10 applicants are to be considered for interview, what must be the cut- off score?
1. In an aptitude test given to a group of 200 applicants, the average score was 75 and the standard deviation was 5. If the scores are approximately normally distributed, about how many applicants got scores a. above 78? 78 - 75/5 = 0.6 0.5 - 0.2257 = 0.2743 or 27.43% 200 (0.2743) = 54.86 or 55 b. above 66? 66 - 75/5 = -1.8 0.5 + 0.4641 = 0.9641 or 96.41% 200 (0.9641) = 192.82 or 193 c. between 70 and 80? 70-75/5 = -1 80-75/5=1 0.1587 0.3413 0.3413-0.1587 = 0.1826 or 18.26% 200 (0.1826) = 36.52 or 37 2. Referring to the preceding problem, suppose only the top 10 applicants are to be considered for interview, what must be the cut- off score?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:1. In an aptitude test given to a group of 200 applicants, the average
score was 75 and the standard deviation was 5. If the scores are
approximately normally distributed, about how many applicants got
scores
a. above 78?
78 - 75/5 = 0.6
0.5 - 0.2257 = 0.2743 or 27.43%
200 (0.2743) = 54.86 or 55
b. above 66?
66 - 75/5 = -1.8
0.5 + 0.4641 = 0.9641 or 96.41%
200 (0.9641) = 192.82 or 193
c. between 70 and 80?
70-75/5 = -1
80-75/5=1
0.1587
0.3413
0.3413-0.1587 = 0.1826 or 18.26%
200 (0.1826) = 36.52 or 37
2. Referring to the preceding problem, suppose only the top 10
applicants are to be considered for interview, what must be the cut-
off score?
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