g 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. The length of CI-2 is ________ the length of CI-1

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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.