In the previous two problems we found the posterior distribution of the slope of y on x, the rate of weevil infestation for endophyte infected and noninfected ryegrass. Let β₁ be the slope for noninfected ryegrass, and let β₂ be the slope for infected ryegrass

Data From Exercise 8

Data From Exercise 7

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(a) Find the posterior distribution of 1 - 2. (b) Calculate a 95% credible interval for B1-B2. (c) Test the hypothesis Ho B1 B20 versus H 1 - B2 > 0 at the 10% level of significance.