An environmental impact study was performed in a small state to determine the effectiveness of scrubbers on

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An environmental impact study was performed in a small state to determine the effectiveness of scrubbers on the amount of pollution coming from the cooling towers of a chemical plant. The amounts of pollution (in ppm) detected from the cooling towers before and after the scrubbers were installed are given below for 23 cooling towers.
An environmental impact study was performed in a small state

Suppose a larger study is planned for a state with a more extreme pollution problem.
a. How many chemical plant cooling towers need to be measured if we want a probability of .90 of detecting a mean reduction in pollution of 10 ppm due to installing the scrubbers using an α = .01 test?
b. What assumptions did you make in part (a) in order to compute the sample size?

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