How JustAnswer Works:
  • Ask an Expert
    Experts are full of valuable knowledge and are ready to help with any question. Credentials confirmed by a Fortune 500 verification firm.
  • Get a Professional Answer
    Via email, text message, or notification as you wait on our site. Ask follow up questions if you need to.
  • 100% Satisfaction Guarantee
    Rate the answer you receive.
Ask Ryan Your Own Question
Ryan, Engineer
Category: Math Homework
Satisfied Customers: 9079
Experience:  B.S. in Civil Engineering
Type Your Math Homework Question Here...
Ryan is online now
A new question is answered every 9 seconds

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: 1 year ago.
Category: Math Homework
Expert:  Ryan replied 1 year 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.