A polymer is manufactured in a batch chemical process. Viscosity measurements are normally made on each batch, and long experience with the process has indicated that the variability in the process is fairly stable with σ = 20. Fifteen batch viscosity measurements are given as follows: 724, 718, 776, 760, 745, 759, 795, 756, 742, 740, 761, 749, 739, 747, 742 A process change that involves switching the type of catalyst used in the process is made. Following the process change, eight batch viscosity measurements are taken: 735, 775, 729, 755, 783, 760, 738, 780 Assume that process variability is unaffected by the catalyst change. If the difference in mean batch viscosity is 10 or less, the manufacturer would like to detect it with a high probability. 

(a) Formulate and test an appropriate hypothesis using α = 0.10. What are your conclusions? Find the P-value.

(b) Find a 90% confidence interval on the difference in mean batch viscosity resulting from the process change.

(c) Compare the results of parts (a) and (b) and discuss your findings.