Answer: (94.08, 101.92)
Step-by-step explanation:
The confidence interval for unknown population mean is given by :-
, where = Sample mean
= Population standard deviation
z* = Critical z-value.
Given : A random variable x has a Normal distribution with an unknown mean and a standard deviation of 12.
n= 36
Confidence interval = 95%
We know that the critical value for 95% Confidence interval : z*=1.96
Then, the 95% confidence interval for the mean of x will be :-
Hence, the 95% confidence interval for the mean of x is (94.08, 101.92) .