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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