Suppose that a random sample consisting of 16 observations is available from the normal distribution for which both the mean 1 and the variance 2 1 are unknown, and an independent random sample consisting of 10 observations is available from the normal distribution for which both the mean 2 and the variance 2 2 are also unknown. For each constant r > 0, construct a test of the following hypotheses at the level of significance 0.05: H0: 2 1 2 2 = r, H1: 2 1 2 2

Chapter 15 Inferences for Regression Chapter 4 was all descriptive statistics (describing the relationship between Y and X in the sample data) and Chapter 15 is inferential statistics (describing the ‘true’ relationship between Y and X in the population) The first few pages of Chapter 15 have two main purposes: o To introduce the population regression model...