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: 16.0, 28.7, 17.8, 25.1, 20.3, 16.8, 29.8, 21.4, 19.2, 25.9, 29.9, 25.1, 23.0, 22.7, 24.9, 19.8, 27.2, 32.8, 24.7, 29.6 (a) Can you support a claim that mean rainfall from seeded clouds exceeds 23.0 acre-feet? Use a = 0.01. There is a = 0.01. evidence to indicate that the true mean rainfall is greater than 23.0 acre-feet at (b) Compute the power of the test if the true mean rainfall is 25.0 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 25.5 acre-feet if we wanted the power of the test to be at least 0.9? n≥ Round your answer to the nearest integer.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

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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:
16.0, 28.7, 17.8, 25.1, 20.3,
16.8, 29.8, 21.4, 19.2, 25.9,
29.9, 25.1, 23.0, 22.7, 24.9,
19.8, 27.2, 32.8, 24.7, 29.6
(a) Can you support a claim that mean rainfall from seeded clouds exceeds 23.0 acre-feet? Use
a = 0.01.
There is
a = 0.01.
evidence to indicate that the true mean rainfall is greater than 23.0 acre-feet at
(b) Compute the power of the test if the true mean rainfall is 25.0 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 25.5 acre-feet if we
wanted the power of the test to be at least 0.9?
n≥
Round your answer to the nearest integer.
Transcribed Image Text: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: 16.0, 28.7, 17.8, 25.1, 20.3, 16.8, 29.8, 21.4, 19.2, 25.9, 29.9, 25.1, 23.0, 22.7, 24.9, 19.8, 27.2, 32.8, 24.7, 29.6 (a) Can you support a claim that mean rainfall from seeded clouds exceeds 23.0 acre-feet? Use a = 0.01. There is a = 0.01. evidence to indicate that the true mean rainfall is greater than 23.0 acre-feet at (b) Compute the power of the test if the true mean rainfall is 25.0 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 25.5 acre-feet if we wanted the power of the test to be at least 0.9? n≥ Round your answer to the nearest integer.
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