Question

5)

A zoologist weights 15 newborn African elephants born in captivity. The mean weight of the sample is 186.7 lbs with a standard deviation of 5.8 lbs.

a) Find a 99% confidence interval for the true weight of newborn African elephants born in captivity.

b) Provide the right endpoint of the interval as your answer.

Round your answer to 1 decimal place.

Answer 1

a)

df = n - 1 = 15 - 1 = 14

t critical value at significance level with df = 3.106

99% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

186.7 - 3.106 * 5.8 / sqrt(15) < < 186.7 + 3.106 * 5.8 / sqrt(15)

182.0 < < 191.4

99% CI is ( 182.0 , 191.4 )

b)

Right endpoint of interval = 191.4