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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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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