Not only are giraffes tall, the giraffe is one of the world's heaviest animal. A wildlife biologist believes that, on average, giraffes in Kenya weigh more than 2000 pounds. Twenty giraffes in Kenya were weighted and their average weight was 2075 pounds. Assume this data is normally distributed, the sample is random, and a population standard deviation of 174 pounds.

a. Go through the six steps of hypothesis testing to see if there is evidence to support the biologist's claim at a=0.04.
b. Find the p-value in this situation. What is your conclusion based on the P-value? Is it the same as the conclusion in part a?
c. Find the probability of a type Il error if the true mean weight of giraffes in Kenya is actually equal to 2100 pounds.
d. Find the sample size needed so that the probability found in part cis 0.05.