A commercial airline is concerned over the increase in weight of a carry-on luggage. In the past, the airline has estimated that the average price of carry-on luggage will weigh 14 pounds. A random selection of 24 pieces of carry-on luggage has an average weight of 16.05 pounds with a standard deviation of 4.37 pounds. Use a=0.005 to find the test statistic (rounded to four decimal places), the p-value with the alternative hypothesis of H1:u>14, and state your conclusion with the same alternative hypothesis.