6. The term Freshman 15 refers to a common perception that university students tend to gain at least 15 pounds during
their first year at the university. In a random sample of 24 State U freshmen, the average weight gain during the first
year was 13.87 pounds with a standard deviation of 2.57 pounds. Assume all gains in weight follow a normal distribution.
(a) Do these data provide good evidence at the 2.5% level of significance the average weight gain for State U freshmen
is less than 15 pounds?
(b) Explain the meaning of a Type II error in the context of the data