Use the data of Problem 40 of Chapter 10. a. Estimate π, the probability that more...

Use the data of Problem 40 of Chapter 10.

a. Estimate π, the probability that more rain will fall from a randomly selected seeded cloud than from a randomly selected unseeded cloud.

b. Use the bootstrap to estimate the standard error of .

c. Use the bootstrap to form an approximate confidence interval for π.

Reference

Olson, Simpson, and Eden (1975) discuss the analysis of data obtained from a cloud seeding experiment. A cloud was deemed “seedable” if it satisfied certain criteria; for each seedable cloud a decision was made at random whether to actually seed. The nonseeded clouds are referred to as control clouds. The following table presents the rainfall from 26 seeded and 26 control clouds. Make Q-Q plots for rainfall versus rainfall and log rainfall versus log rainfall. What do these plots suggest about the effect, if any, of seeding?

Based on your results, how would you expect boxplots of precipitation from seeded and unseeded clouds to compare? How would you expect boxplots of log precipitation to compare? Make the boxplots and see whether your predictions are confirmed.