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
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:
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
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