A college admissions officer for an MBA program has

determined that historically applicants have undergraduate

grade point averages that are normally distributed

with standard deviation 0.45. From a random

sample of 25 applications from the current year, the

sample mean grade point average is 2.90.

Question: Based on these sample results, a statistician computes

for the population mean a confidence interval

extending from 2.81 to 2.99. Find the confidence

level associated with this interval.