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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 ug/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. Time Waterworks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 29 9 7 35 40 53 38 38 41 34 42 35 38 35 36 24 29 21 24 20 25 15 14 8 12 14 35 32 38 33 25 17 20 24 19 19 17 23 22 27 17 33 33 39 37 31 37 34 30 39 41 34 34 29 33 33 34 16 31 16 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 a. 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.

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 ug/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. Time Waterworks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 29 9 7 35 40 53 38 38 41 34 42 35 38 35 36 24 29 21 24 20 25 15 14 8 12 14 35 32 38 33 25 17 20 24 19 19 17 23 22 27 17 33 33 39 37 31 37 34 30 39 41 34 34 29 33 33 34 16 31 16 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 a. 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 ug/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. Time Waterworks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 29 9 7 35 40 53 38 38 41 34 42 35 38 35 36 24 29 21 24 20 25 15 14 8 12 14 35 32 38 33 25 17 20 24 19 19 17 23 22 27 17 33 33 39 37 31 37 34 30 39 41 34 34 29 33 33 34 16 31 16 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 a. 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.
Transcribed Image Text: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 ug/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. Time Waterworks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 29 9 7 35 40 53 38 38 41 34 42 35 38 35 36 24 29 21 24 20 25 15 14 8 12 14 35 32 38 33 25 17 20 24 19 19 17 23 22 27 17 33 33 39 37 31 37 34 30 39 41 34 34 29 33 33 34 16 31 16 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 a. 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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