Due to habitat, giraffes travel in small groups. Hence, they require excellent vision in order to detect predators. The eyesight of giraffes was studied in African Zoology (Oct. 2013). The researchers measured a variety of eye characteristics for 27 giraffes native to Zimbabwe, Africa. One variable measured was eye mass (in grams). The study reported x̅ = 53.4 g and s = 8.6 g.
a. Use this information to find a 99% confidence interval for the true mean eye mass of giraffes native to Zimbabwe.
b. Suppose it is known that the mean eye mass of an African water buffalo is ( = 31 grams. Is it likely that the true mean eye mass of a giraffe is larger or smaller than this mean? Explain.
c. Suppose it is known that the mean eye mass of an African elephant is ( = 58 grams. Is it likely that the true mean eye mass of a giraffe is larger or smaller than this mean? Explain.