Please answer the confidence Interval Question below. Show working.

Scenario: Question 1:

An investigator wishes to estimate the mean weight of all the hermit crabs on Wake Island.He collects a random sample of 36 crabs and finds that have a mean weight of 55 grams with an estimated population standard deviation based on sample data ('s') of 15 grams.

Construct a 99% confidence interval for the population's mean weight of crabs

QUESTION 2.

Thirty-three percent of the crabs collected in the experiment described above were missing at least one leg.Construct a 90% confidence interval for the population's proportion of crabs that are missing one leg.