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.
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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