Scrubbers a Factory Recently Installed New Pollution Control Equipment ("Scrubbers")

question 53

Essay

Scrubbers A factory recently installed new pollution control equipment ("scrubbers") on its smokestacks in hopes of reducing air pollution levels at a nearby national park. Randomly timed measurements of sulfate levels (in micrograms per cubic meter) were taken before (Set C1) and after (Set C₂) the installation. We believe that measurements of sulfate levels are normally distributed. Write a complete conclusion about the effectiveness of these scrubbers based on the statistical software printout shown below. $\begin{array}{llllllllllllll}\text { SET C1 } & 10.0 & 8.0 & 8.0 & 7.0 & 6.0 & 9.0 & 11.5 & 8.0 & 9.5 & 7.5 & 5.0 & 10.0 \\\text { SET C2 } & 5.0 & 7.0 & 1.0 & 9.0 & 1.5 & 5.0 & 2.5 & 4.0 & 9.0 & 6.0 & & &\end{array}$

$\text { Two Sample T for C1 vs C2 }$
$\begin{array}{lllll} & \mathrm{N} & \text { Mean } & \text { StDev } & \text { SEMean } \\\mathrm{C} 1 & 12 & 8.29 & 1.83 & 0.53 \\\mathrm{C} 2 & 10 & 5.00 & 2.84 & 0.90\end{array}$
$95 \% \mathrm{Cl} \text { for mu1 - mu2: }(1.20,5.38)$
$\text { T-Test } \mathrm{mu1}=\text { mu2 (vs. not }=\text { ): } \quad T=3.29 \quad \mathrm{P}=0.0037 \quad \mathrm{DF}=20$

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Definitions:

Economy's Natural Ability

The inherent capacity of an economy to grow and adapt over time, based on resources, technology, and human capital.

Active Economic Policy

Government interventions aimed at influencing the economy through measures such as fiscal and monetary policies to achieve specific macroeconomic objectives.

Law of Diminishing Returns

An economic principle stating that adding an additional factor of production results in smaller increases in output after a certain point.

Rational Expectations

A school of thought that argues people form expectations based on all available information, including the likely future actions of government policymakers.