Question

The health of the bear population in yellowstone national park is monitored by periodic measurements. a sample of 54 bears has a mean weight of 182.9 lb. assuming the standard deviation is known to be 121.8lb find a 99% confidence intreval estimate

Answer 1

The 99% confidence interval will be found as follows:
x_bar +/- z(σ/√n)
where
z- z-score
σ-sigma
n=sample size
thus from the information given we shall have:
182.9+/-2.58(121.8/√54)
=182.9+/-42.7632
=225.6632 or 140.1368