The Environmental Protection Agency (EPA) is charged with monitoring the environment. One aspect of this is keeping track of “acid rain”, a broad term describing the fall of acid from the atmosphere. Acidity is measured on the pH scale, where pure water has a pH of 7.0. Normal rain is slightly acidic because carbon dioxide dissolves into it, and thus has a pH of about 5.5 (A lower pH indicates greater acidity). Suppose the EPA wishes to determine whether a particular area is subjected to acid rain. Let m denote the true average for pH in this area. What are the appropriate null hypothesis and alternative hypothesis? (use appropriate notations) Explain what a Type I error would be in the context of this problem. Explain what a Type II error would be in the context of this problem.
The Environmental Protection Agency (EPA) is charged with monitoring the environment. One aspect of this is keeping track of “acid rain”, a broad term describing the fall of acid from the atmosphere. Acidity is measured on the pH scale, where pure water has a pH of 7.0. Normal rain is slightly acidic because carbon dioxide dissolves into it, and thus has a pH of about 5.5 (A lower pH indicates greater acidity). Suppose the EPA wishes to determine whether a particular area is subjected to acid rain. Let m denote the true average for pH in this area. What are the appropriate null hypothesis and alternative hypothesis? (use appropriate notations) Explain what a Type I error would be in the context of this problem. Explain what a Type II error would be in the context of this problem.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The Environmental Protection Agency (EPA) is charged with monitoring the environment. One aspect of this is keeping track of “acid rain”, a broad term describing the fall of acid from the atmosphere. Acidity is measured on the pH scale, where pure water has a pH of 7.0. Normal rain is slightly acidic because carbon dioxide dissolves into it, and thus has a pH of about 5.5 (A lower pH indicates greater acidity). Suppose the EPA wishes to determine whether a particular area is subjected to acid rain. Let m denote the true average for pH in this area.
- What are the appropriate null hypothesis and alternative hypothesis? (use appropriate notations)
- Explain what a Type I error would be in the context of this problem.
- Explain what a Type II error would be in the context of this problem.
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