Question

In: Statistics and Probability

Construct a 99% confidence interval estimate for the mean μ using the given sample information. (Give...

Construct a 99% confidence interval estimate for the mean μ using the given sample information. (Give your answers correct to two decimal places.)

n = 26, x = 17.8, and s = 3

_________to________

Solutions

Expert Solution

Solution :

Given that,

= 17.8

= 3

n = 26

At 99% confidence level the z is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576

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

= 2.576 * (3 / 26)

= 1.52

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

- E < < + E

17.8 - 1.52 < < 17.8 + 1.52

16.28 < < 19.32

( 16.28 , 19.32 )


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