33. Alternative Method When testing a claim about the population mean m using a simple random sample from a normally distributed population with unknown s, an alternative method (not used in this book) is to use the methods of this section if the sample is small (n # 30), but if the sample is large (n . 30) substitute s for s and proceed as if s is known (as in Section 8-4). A sample of size n 5 32 has and s 5 15.0. Use a 0.05 significance level to test the claim that the sample is from a population with a mean equal to 100. Use the alternative method and compare the results to those obtained by using the method of this section.