Confidence Interval for a Population mean, with a known Population Variance

We have the following assumptions:

  • Population variance σ2 is known
  • Population is normally distributed

Under these assumptions, the confidence interval estimate will be given as follows:

cip1
cip1

Example

Let’s take an example to compute this.

We take a sample of 16 stocks from a large population with a mean return of 5.2%. We know that the population standard deviation is 1.5%.

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