In: Statistics and Probability
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________
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 )