Question 9.4: In the article "Review of Development and Application of CRS...

Principles of Statistics for Engineers and Scientists

In the article “Review of Development and Application of CRSTER and MPTER Models” (R. Wilson, Atmospheric Environment, 1993:41-57), several measurements of the maximum hourly concentrations (in μg/m³) of $SO_2$ are presented for each of four power plants. The results are as follows (two outliers have been deleted):

$\begin{array}{lrrrrrr}\text{Plant 1:}& 438 & 619 & 732 & 638 & & \\\text{Plant 2:}& 857 & 1014 & 1153 & 883 & 1053 & \\\text{Plant 3:}& 925 & 786 & 1179 & 786 & & \\\text{Plant 4:}& 893 & 891 & 917 & 695 & 675 & 595\end{array}$

The following output (from MINITAB) presents results for a one-way ANOVA. Can you conclude that the maximum hourly concentrations differ among the plants?

One- way ANOVA: Plant 1. Plant 2. Plant 3, Plant 4

\begin{array}{lrrrrr}\text{Source}& \text{DF}& \text{SS}& \text{MS}& F & P \\\text{Plant}& 3 & 378610 & 126203 & 6.21 & 0.006 \\\text{Error}& 15 & 304838 & 20323 & & \\\text{Tota1}& 18 & 683449 & & &\end{array}

s = 142 .6 R-Sq = 55 .40% R-Sq( adj) = 46.48%

Individual 95% Cis For Mean Based on Pooled StDev

$\begin{array}{cccc}\text{Leve}& \text{N}& \text{Mean}& \text{StDev}\\1 & 4 & 606.8 & 122.9 \\2 & 5 & 992.0 & 122.7 \\3 & 4 & 919.0 & 185.3 \\4 & 6 & 777.7 & 138.8\end{array}$

Pooled StDev = 142. 6

155402-FIGURE 9.4.1

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