construct a Confidence interval for the population mean using the information below. Confidence level: 90%, sample size : 139, standard deviation : 17.54, mean : 106.41.
Solution :
Given that,
t
/2,df = 1.656
Margin of error = E = t/2,df
* (s /
n)
= 1.656 * (17.54 /
139)
Margin of error = E = 2.46
The 90% confidence interval estimate of the population mean is,
- E <
<
+ E
106.41 - 2.46 <
< 106.41 + 2.46
103.95 <
< 108.87
(103.95 , 108.87)
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