In: Statistics and Probability
Noise levels at various road construction sites were measured in decibels. The mean
the noise levels in a sample of 64 construction sites was 85 decibels. The
population standard deviation is 10 decibels. Find the 95% confidence interval for
the true mean noise level at road construction sites.
Let noise level at a road construction site in decibels be denoted by X.
Assumption :- X ~ N(,)
Let the mean of the sample of size 64 be denoted as .
So the 95% confidence interval for the true mean noise level at road construction sites is :-
(82.55 decibels , 87.45 decibels).