Chapter 04: Homework 6 MA3710 - Engineering Statistics Problem 6 (15 points, 3 points for part 1, 8 points for part 2, 4 points for part 3). A manufacturer of aircraft monitors the viscosity of primer paint. The viscosities for two different time periods are listed here. Time Period 1 33.8 33.1 34.0 33.8 33.5 34.0 33.7 33.3 33.5 33.2 33.6 33.0 33.5 33.1 Time Period 2 33.5 33.3 33.4 33.3 34.7 34.8 34.6 35.0 34.8 34.5 34.7 34.3 34.6 34.5 35.0 (1) Find the sample mean and sample variance of viscosity of paints from Time Period 1 and Time Period 2. (2) Use the rejection region approach and a significance level of 0.05 to test if the mean viscosities of paints from two time periods are different. [You must clearly specify 5 steps for your test.] (3) Construct a 95% two-sided confidence interval for the true difference in the mean viscosities.