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construct a Confidence interval for the population mean using the information below. Confidence level: 90%, sample...

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.

Math   Statistics-And-Probability   
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Answer #1

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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