The time needed for college students to complete a certain
paper-and-pencil maze follows a Normal distribution with a mean of
30 seconds and a standard deviation of 3 seconds. You wish to see
if the mean time μ is changed by vigorous exercise, so you have a
group of nine college students exercise vigorously for 30 minutes
and then complete the maze. Assume that σ remains unchanged at 3
seconds. The hypotheses you decide to test are H0: μ = 30 versus
Ha: μ ≠ 30. Suppose it takes the nine students an average of =
32.05 seconds to complete the maze. At the 1% significance level,
what can you conclude?