1. A farmer is growing a type of apple with a known mean weight of 0.3 lbs, and a standard deviation of 0.05 lbs. After looking through his orchard, he believes his apples might weigh
less on average. He selects a random sample of 35 apples and finds the mean weight to be 0.28
lbs. Write null and alternative hypotheses to describe this situation.

2. An automated machine is calibrated to fill bags of pretzels so that each bag weighs 8 ounces. A worker at the factory believes the machine is not filling the bags up to the correct weight. She randomly selects 40 bags of pretzels and after weighing them calculates their mean weight to be 8.4 ounces. Write hill and alternative hypothesis to describe this situation.