# Hypothesis Test

If when you do a Hypothesis test about the Population Mean, somehow you have the actual value for the Population Standard Deviation. Suppose that you were able to get a sample of size 100, and did not know the Population Standard Deviation. What can you do to still carry out the Hypothesis test?

Â© BrainMass Inc. brainmass.com May 24, 2023, 12:50 pm ad1c9bdddfhttps://brainmass.com/statistics/hypothesis-testing/population-standard-deviation-3621

#### Solution Preview

Let's assume that the mean of samples is M, and the Population Mean is m.

Then H0: m = M against H1: m<>M

We will construct the confidence interval of the mean M. If m falls within the interval, we can accept H0; if not, we reject it.

To construct the confidence interval, we should estimate the standard deviation s first. When s is known, the formula:

M - z*s < m < M + z*s

is used for a confidence interval. ...

#### Solution Summary

The solution addresses when you do a Hypothesis test about the Population Mean, somehow you have the actual value for the Population Standard Deviation. Suppose that you were able to get a sample of size 100, and did not know the Population Standard Deviation. What can you do to still carry out the Hypothesis test?