An audiologist is testing whether the noise at a soccer stadium is significantly louder than the threshold of hearing damage of 85 decibels. She measures the maximum loudness of the stadium in 25 games played at the stadium and recorded the following data:

n	25
mean	87 decibels
standard deviation	3.075 decibels

The audiologist uses a type-I error rate of .05. Her null hypothesis is that the stadium noise (forallgames, not just the 25 observed) is less than or equal to 85 decibels; her alternative hypothesis is that the stadium noise is greater than 85 decibels.

Please evaluate the hypothesis (basically, the last two steps of the 6-step procedure: do the math and make a decision).