In: Statistics and Probability
The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 15% of UGPAs? (b) Between what two values does the middle 50% of the UGPAslie? mean- 3.28 Standard deviation- 0.17 A normal curve labeled mu = 3.28 and sigma = 0.17 is over a horizontal x-axis labeled Grade point average from 2.56 to 4 in increments of 0.36 and is centered on 3.28. (a) The minimum UGPA that would still place a student in the top 15% of UGPAs is _______ (Round to two decimal places as needed.) (b) The middle 50% of UGPAs lies between _____ on the low end and ______ on the high end. (Round to two decimal places as needed.)