Answer:
Step-by-step explanation:
Given that a confidence interval was constructed using the sample standard deviation, say CI-1.
We then construct a confidence interval with the same numerical values of sample mean, standard deviation, and sample size, but this time assuming the population standard deviation is known, say CI-2.
When population std dev is known we use std error = [tex]\frac{\sigma}{\sqrt{n} }[/tex]
For sample std deviation s, we use std error = [tex]\frac{s}{\sqrt{n} }[/tex]
When s= sigma, there will not be any difference between these two confidence intervals.
So answer is equal.