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 3.3 seconds. you wish to see if the mean time μμ is changed by vigorous exercise, so you have a group of 20 college students exercise vigorously for 30 minutes and then complete the maze. it takes them an average of x¯=29.5x¯=29.5 seconds to complete the maze. use this information to test the hypothesis h0: μ=30h0: μ=30 ha: μ≠30 ha: μ≠30 conduct a test using a significance level of α=0.01α=0.01.