Cloud seeding has been studied for many decades as a weather modification procedure (for an interesting study of this subject, see the article in Technometrics, "A Bayesian Analysis of a Multiplicative Treatment Effect in Weather Modification", Vol. 17, pp. 161-166). The rainfall in acre-feet from 20 clouds that were selected at random and seeded with silver nitrate follows: 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, 31.6 (a) Can you support a claim that mean rainfall from seeded clouds exceeds 25.0 acre-feet? Use a = 0.01. There is (b) Compute the power of the test if the true mean rainfall is 27.0 acre-feet. evidence to indicate that the true mean rainfall is greater than 25.0 acre-feet at a = 0.01. nz Round your answer to one decimal place (e.g. 98.7). (c) What sample size would be required to detect a true mean rainfall of 27.5 acre-feet if we wanted the power of the test to be at least 0.9? Round your answer to the nearest integer. Statistical Tables and Charts

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