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.

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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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