Answer: (1.4964, 1.5126)
Step-by-step explanation:
We know that the confidence interval for population mean is given by :-
, where = population standard deviation.
n= sample size
= Sample mean
As per given , we have
σ = 0.01 inches
n= 10
Also, the critical value for 99% confidence interval = [From x-value table.]
[Significance level =1-0.99=0.01 and is 2.576.]
Then, the 99% two-sided confidence interval on the mean hole diameter will be :-
Hence, the required confidence interval = (1.4964, 1.5126)