The guidance counselor wants to create a 95% prediction interval for the GPA of a student who is graduating with a percentile rank of 89. What is the upper bound of this interval, to three decimal places? Use the fact that the average rank 82.217 and with a standard deviation of = 15.079. Use four (4) decimal places for all calculations up to the answer and report your answer to three (3) decimal places.
*For example, if a graduating class had 500 students and a student was ranked 5th, then that student's percentile rank would be 100 - (5/500)100 = 99.