Question: With reference to Exercise 11.13 on page 400, assume a bivariate normal distribution for x and y. (a) Calculate r. (b) Test the null hypothesis

With reference to Exercise 11.13 on page 400, assume a bivariate normal distribution for x and y.

(a) Calculate r.

(b) Test the null hypothesis that ρ = −0.5 against the alternative that ρ < −0.5 at the 0.025 level of significance.

(c) Determine the percentage of the variation in the amount of particulate removed that is due to changes in the daily amount of rainfall.

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