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Cloud seeding has been studied for many decades as a weather modification procedure (for an interesting...

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Cloud seeding has been studied for many decades as a weathermodification procedure (for an interesting study of this subject,see the article in Technometrics, \"A Bayesian Analysis of aMultiplicative Treatment Effect in Weather Modification\", Vol. 17,pp. 161–166). The rainfall in acre-feet from 20 clouds that wereselected at random and seeded with silver nitrate follows: 19.0,31.7, 20.8, 28.1, 23.3, 19.8, 32.8, 24.4, 22.2, 28.9, 32.9, 28.1,26.0, 25.7, 27.9, 22.8, 30.2, 35.8, 27.7, 32.6

(a) Can you support a claim that mean rainfall from seededclouds exceeds 26.0 acre-feet? Use α=0.01.

(b) Compute the power of the test if the true mean rainfall is28.0 acre-feet.

(c) What sample size would be required to detect a true meanrainfall of 28.5 acre-feet if we wanted the power of the test to beat least 0.9?

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