In: Statistics and Probability
If Upper X bar= 147, sigma=28, and n=33, construct a 95% confidence interval estimate of the population mean, u .
Solution :
Given that,
= 147
= 28
n = 33
At 95% confidence level the z is ,
= 1 - 95% = 1 - 0.95 = 0.05
/ 2 = 0.05 / 2 = 0.025
Z/2 = Z0.025 = 1.96
Margin of error = E = Z/2* ( /n)
= 1.96 * (28 / 33)
= 9.5534
At 95% confidence interval estimate of the population mean is,
- E < < + E
147 - 9.5534 < < 147 +9.5534
137.4466< < 156.5534
(137.4466 , 156.5534 )