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 1 be the slope for noninfected ryegrass, and let 2 be the slope for infected ryegrass Data From Exercise 8 Data From Exercise 7 (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

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Question: 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

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

(a) Find the posterior distribution of 1 - 2. (b) Calculate a

Data From Exercise 8

95% credible interval for B1-B2. (c) Test the hypothesis Ho B1 B20

Data From Exercise 7

versus H 1 - B2 > 0 at the 10% level of

(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.

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