Triangle Airlines operating shuttle flights between New York and Boston, claims that the average flight time is 2 hours. A travel agency monitored 46 flight times and found that the mean time is 2 hours 8 minutes, and the standard deviation is 16 minutes. Can the travel agency justifies that the mean flight time is more than 2 hours.

1. (a)(3 points) State the null hypothesis and alternative hypothesis
2. (b)(3 points) Find the test statistic

(c) (2 points) If the type-I error= 0.1, find the critical value(s) and shade the rejection region(s)

1. (d)(2 points) Base on the type-I errorand rejection region(s), given above, what is your con- clusion?
2. (e)(3 points) Find the p-value