A zookeeper took a random sample of 30 days and observed how much food an elephant ate on each of those days. The sample mean wa

Question

3 years ago

14

s 350 kg and the sample standard deviation was 25 kg. Find the 95% confidence interval for how much food the elephant eats.

1 answer:

vampirchik [111] · Answer 1 · 2022-10-17T07:45:53+03:00

Answer:

341.95≤x≤358.95

Step-by-step explanation:

The confidence interval formula is expressed as;

CI = xbar±(z×s/√n)

xbar is the mean sample

s is the standard deviation

z is the z score at 95% confidence interval

n is the sample size

xbar = 350kg

z = 1.96

s = 25kg

n = 30

Substitute

CI = 350±(1.96×25/√30)

CI = 350±(1.96×4.564)

CI = 350±(8.946)

CI = (350-8.946, 350+8.946)

CI = (341.05, 358.95)

Hence the 95% confidence interval for how much food the elephant eats us 341.95≤x≤358.95