Answer: 90% confidence interval for population mean =(21.163, 24.837)
95% confidence interval for population mean =(20.811, 25.189)
Explanation:
Confidence interval for population mean (
) is given by :-
, where n= sample size, z= critical z-value ,
= sample mean
= population standard deviation.
Given : n= 36 ,
cubic centimeters per cubic meter.
cubic centimeters per cubic meter
For 90% confidence level , z= 1.645 [by z-table]
Then, required interval for population mean (
) would be :



For 95% confidence level , z= 1.96 [by z-table]
Then, required interval for population mean (
) would be :



Hence, 90% confidence interval for population mean =(21.163, 24.837)
95% confidence interval for population mean =(20.811, 25.189)