The Environmental Protection Agency (EPA is charged with monitoring the environm

Question

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 water through an acidic 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 subject to acid rain. Let H denote the true average for pH in this area What is the appropriate null hypothesis? b) What is the appropriate alternative hypothesis? c) n your own words, distinguish between a Type I and a Type ll error in this context

Explanation / Answer

Environmental Protection Agency

Below are the null and alternate hypothesis
H0: mu >= 7.0
H1: mu < 7.0

Type I error will occur if we reject the null hypothesis though actually it is true. This means we declare the area under acid rain though it is not.
Type II error will occur if we fail to reject the null hypothesis though in reality it should be rejected. This means we declare the area as non-acid rain area though it is under acid rain attack.

Psychologists

Below are the null and alternate hypothesis
H0: mu = 750
H1: mu not equals to 750

Type I error will occur if we reject the null hypothesis though actually it is true. This means we declare the mean time to respond is different than 750 though it is same.
Type II error will occur if we fail to reject the null hypothesis though in reality it should be rejected. This means we declare the mean time to respond is 750 miliseconds though it is different.

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