The data set below, S10 , from Holmes and Mergen (1992)6 , is a sample of viscosity measurements taken from ten consecutive, but independent, batches of a product made in a batch chemical process.
S10 = {13.3, 14.5, 15.3, 15.3, 14.3, 14.8, 15.2, 14.9, 14.6, 14.1}
The desired target value for the product viscosity is 14.9. Assuming that the vis- cosity data constitutes a random sample from a normal population with unknown mean and unknown variance, at the α = 0.05 signi?cance level, test the hypothesis that the mean product viscosity is on target versus the alternative that it is not. What is the p-value associated with this test? Interpret your result. If the test were to be conducted at the α = 0.10 signi?cance level, will this change your conclusion?