In: Statistics and Probability
1. A seafood restaurant often receives complaints from it’s patrons that the lobster is too small. The menu lists the weight of a lobster as 462g. The next time the restaurant receives a batch of 60 lobsters it weighs them and finds the average is 449g with a standard deviation of 31g. Do you think the restaurant sells lobsters that are smaller than advertised? Perform a hypothesis test at α = 0.01
2. The lifespan of a fruit fly is normally distributed with an average of 40 days and a standard deviation of 7.4 days.
If we take a sample of 80 fruit flies, what is the probability the sample mean is within 1 day of the population mean?