In: Statistics and Probability
Solution :
All the steps needed to calculate a confidence interval using a z-distribution.
Point estimate = sample mean =
Population standard deviation =
Sample size = n
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)
=
At 99% confidence interval estimate of the population mean is,
- E < < + E
< <
< <
(, )