+ 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: 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6. (a) Can you support a claim that mean rainfall from seeded clouds exceeds 25 acre-feet? Use a=0.01. Find the P-value. (b) Check that rainfall is normally distributed. (e) Explain how the question in part (a) could be answered by constructing a one-sided confidence bound on the mean diameter.

+ 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: 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6. (a) Can you support a claim that mean rainfall from seeded clouds exceeds 25 acre-feet? Use a=0.01. Find the P-value. (b) Check that rainfall is normally distributed. (e) Explain how the question in part (a) could be answered by constructing a one-sided confidence bound on the mean diameter.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Answer the exercise of the image.

(In the other image are the final answers, this to verify the final answer).

+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: 18.0,
30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0,
24.7, 26.9, 21.8, 29.2, 34.8, 26.7, and 31.6.
(a) Can you support a claim that mean rainfall from seeded
clouds exceeds 25 acre-feet? Use a=0.01. Find the P-value.
(b) Check that rainfall is normally distributed.
(e) Explain how the question in part (a) could be answered by
constructing a one-sided confidence bound on the mean
diameter.

a. 0.10 < P < 0.25 There is not sufficient evidence to support the claim that the mean rainfall from seeded
clouds exceeds 25 acre-feet
b. Satisfied
c. 0.25 < POWER < 0.40
d. n = 6
e. If 25 is less than or equal to the one-sided confidence bound, then we fail to reject the null hypothesis Ho.
If 25 is larger than the one-sided confidence bound, then we reject the null hypothesis Ho.

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