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: 19.5,32.2,21.3,28.6,23.8
20.3,33.3,24.9,22.7,29.4
33.4,28.6,26.5,26.2,28.4
23.3,30.7,36.3,28.2,33.1
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(a) Can you support a claim that mean rainfall from seeded clouds exceeds 26.5 acre-feet? Use α=0.01. There is _______ evidence to indicate that the true mean rainfall is greater than 26.5 acrefeet at α=0.01. (b) Compute the power of the test if the true mean rainfall is 28.5 acre-feet.
_____ Round your answer to one decimal place (e.g. 98.7).