5. (15 points) the time needed for college students to complete a certain maze follows
a normal distribution with a mean of 45 seconds. to see if the mean time time (in
seconds) is changed by vigorous exercise, we have a group of nine college students exercise
vigorously for 30 minutes and then complete the maze. the sample mean and standard
deviation of the collected data is 49.2 seconds and 3.5 seconds respectively. use these
data to perform an appropriate test of hypothesis at 5% level of significance.
(a) state the null and alternative hypothesis
(b) find the rejection region
(c) find your test statistic
(d) state your conclusion