Question

Construct the confidence interval for the population mean μ. c=0.90​, x=16.1​, σ=8.0, and n=85 A 90%...

Construct the confidence interval for the population mean μ.

c=0.90​, x=16.1​, σ=8.0, and n=85

A 90% confidence interval for μ is ( , ).

​(Round to one decimal place as​ needed.)

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

Sample size = n = 85

Z/2 = 1.645

Margin of error = E = Z/2* ( /n)

= 1.645 * (8.0 / 85)

= 1.4

At 90% confidence interval estimate of the population mean is,

- E < < + E

16.1 - 1.4 < < 16.1 + 1.4

14.7 < < 17.5

A 90% confidence interval for μ is (14.7 , 17.5)

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