Question

A random sample of 144 trees in a New England forest has a mean height of...

A random sample of 144 trees in a New England forest has a mean height of 10.452 meters and a standard deviation of 2.130 meters. Construct a 99% confidence interval for the population mean height.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

t /2,df = 2.611

Margin of error = E = t/2,df * (s /n)

= 2.611 * (2.130 / 144)

Margin of error = E = 0.463

The 99% confidence interval estimate of the population mean is,

- E < < + E

10.452 - 0.463 < < 10.452 + 0.463

9.989 < < 10.915

(9.989 , 10.915)

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