Please answer all of the questions and show all calculations.

In the 2000s, 20-29 year old men in the U.S. had a mean (u) body weight of 170 pounds. A researcher collects a sample (n) of 64 men with a sample standard deviation (s) of 40 pounds and a sample mean of 173 pounds. The study wants to know if body weight is changing and whether body weight in the population now differs.

Set a = 0.05 and run the appropriate hypothesis test.