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Ryan, Engineer
Category: Math Homework
Satisfied Customers: 8837
Experience:  B.S. in Civil Engineering
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A program gives all applicants an exam and accepts only

Customer Question

A program gives all applicants an exam and accepts only those applicants who score in the top 15%. Mean is 87. standard deviation is 8. Would an individual with a score of 110 be acceptable?
Submitted: 7 months ago.
Category: Math Homework
Expert:  Ryan replied 7 months ago.


Thank you for using the site. I'll be happy to help you with this.

Assuming that the scores are normally distributed, the cut-off score marking the top 15% is:

z for top 15% = 1.036

Cut-off score = µ + zs = 87 + (1.036)(8) = 102.54

Since the score of 110 is greater than the cut-off score of 102.54, yes, that individual would be acceptable.

Please feel free to ask if you have any questions about this solution.