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Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. 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: 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 a = 0.01. There is V evidence to indicate that the true mean rainfall is greater than 24.0 acre-feet at a = 0.01. (b) Compute the power of the test if the true mean rainfall is 26.0 acre-feet. i 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? nz Round your answer to the nearest integer.

Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. 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: 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 a = 0.01. There is V evidence to indicate that the true mean rainfall is greater than 24.0 acre-feet at a = 0.01. (b) Compute the power of the test if the true mean rainfall is 26.0 acre-feet. i 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? nz Round your answer to the nearest integer.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. 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: 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 a = 0.01. There is V evidence to indicate that the true mean rainfall is greater than 24.0 acre-feet at a = 0.01. (b) Compute the power of the test if the true mean rainfall is 26.0 acre-feet. i 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? nz i Round your answer to the nearest integer.
Transcribed Image Text:Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. 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: 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 a = 0.01. There is V evidence to indicate that the true mean rainfall is greater than 24.0 acre-feet at a = 0.01. (b) Compute the power of the test if the true mean rainfall is 26.0 acre-feet. i 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? nz i Round your answer to the nearest integer.
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