Suppose Donald told you about a normally distributed population where o=5. Using the sampling distribution of S, we find that from a random sample of size n =15, S=9.441. Does the population variance (above) seem reasonable? Note: We will consider our population variance reasonable if our value falls within the interval [x20.975 (df), x0.025(df)]. 1) Find the values of the interval [20.975 (df), x0.025(df)]. x0.975(df) = x0.025 (df) = (Round to 3 decimals.) (Round to 3 decimals.) 2) Find the value of x that comes from the data you collected in the problem statement. (Round to 3 decimals.) 3) Donald wants to know if the population variance seems reasonable. Is it? Yes, it is reasonable. No, it is not reasonable.