The article "Bromate Surveys in French Drinking Waterworks" (B. Legube, B. Parinet, et al., Ozone Science and Engineering, 2002:293-304) presents measurements of bromine concentrations (in μg/L) at several waterworks. The measurements made at 15 different times at each of four waterworks are presented in the following table. (The article also presented some additional measurements made at several other waterworks.) It is of interest to determine whether bromine concentrations vary among waterworks; it is not of interest to determine whether concentrations vary over time.

a. Construct an ANOVA table. You may give ranges for the P-values.
b. Can you conclude that bromine concentration varies among waterworks?
c. Which pairs of waterworks, if any, can you conclude, at the 5% level, to have differing bromine concentrations?
d. Someone suggests that these data could have been analyzed with a one-way ANOVA, ignoring the time factor, with 15 observations for each of the four waterworks. Does the ANOVA table support this suggestion? Explain.

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Time Waterworks 1 2 34 5 6 78 9 10 1 12 13 14 15 29 9735 40 53 38 38 34 42 35 38 35 36 24 29 2 2420 25 5 14 8 12 1435 32 38 33 25 17 20 24 19 19 17 23 22 27 17 33 33 3937 31 37 34 30 39 4 34 34 29 33 33 34 16 3 16