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Due to habitat, giraffes travel in small groups. Hence, they require excellent vision in order to...

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 32 giraffes native to Zimbabwe. One variable measured was eye mass (in grams). The study reported x = 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.

(b) Suppose the objective is to sample enough giraffes in order to obtain an estimate of the mean eye mass to within 3 grams of its true value with 99% confidence. Find the sample size required to obtain the desired interval with this margin of error and confidence level.

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