compute the power of the test if the true mean rainfall is 27
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Adi S.
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 titled "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: 17.0, 29.7, 18.8, 26.1, 21.3, 17.8, 30.8, 22.4, 20.2, 26.9, 30.9, 26.1, 24.0, 23.7, 25.9, 20.8, 28.2, 33.8, 25.7, 30.6. (a) Can you support a claim that mean rainfall from seeded clouds exceeds 24.0 acre-feet? Use α = 0.01. There is evidence to indicate that the true mean rainfall is greater than 24.0 acre-feet at α = 0.01. (b) Compute the power of the test if the true mean rainfall is 26.0 acre-feet: 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 26.5 acre-feet if we wanted the power of the test to be at least 0.9? n = Round your answer to the nearest integer:
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: 16.5, 29.2, 18.3, 25.6, 20.8, 17.3, 30.3, 21.9, 19.7, 26.4, 30.4, 25.6, 23.5, 23.2, 25.4, 20.3, 27.7, 33.3, 25.2, 30.1 (a) Can you support a claim that mean rainfall from seeded clouds exceeds 23.5 acre-feet? Use ̑ = 0.01. There is evidence to indicate that the true mean rainfall is greater than 23.5 acre-feet at ̑ = 0.01. (b) Compute the power of the test if the true mean rainfall is 25.5 acre-feet. 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 26.0 acre-feet if we wanted the power of the test to be at least 0.9? n ≥ Round your answer to the nearest integer.
Sheryl E.
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