Question

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________

Answer 1

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 = Z_0.005 = 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 )