Often when we are doing hypothesis testing, we use what is considered the traditional method to make our decision about our hypothesis test. We have several different examples that we are going to look at where we have hypothesis tests done on different intervals. We will look at these and determine how to make s=our decision and find the critical values for these tests. In this we have null and ultimate hypothesis and have the standard deviation aka sigma = and not equals 9. 3. We do have a distribution that a variance follows which is the chi-square distribution. So when we are doing a hypothesis test with a standard deviation we are going to go through the chi squared distribution of the variance in order to get our critical values. The variance is the square of the standard deviation. In this situation we have an ultimate hypothesis that is not equal to which means we have a two tail tust.