Suppose Dante told you about a normally distributed population where =5. Using the sampling distribution of S, we find that from a random sample of size n =11, S =12.152. Does the population variance (above) seem reasonable? Note: We will consider our population variance reasonable if our value falls within the interval [20.975 (df), x0.025(df)]. 1) Find the values of the interval [ 0.975 (df), x0.025(df)]. x0.975 (df) = x0.025 (df) = (Round to 3 decimals.) (Round to 3 decimals.) 2) Find the value of that comes from the data you collected in the problem statement. (Round to 3 decimals.) 3) Dante wants to know if the population variance seems reasonable. Is it? No, it is not reasonable. Yes, it is reasonable.