Consider a fixed factor ANOVA in which a chemical engineer applies the same amount of a certain solution to equal amounts (10g, weight) of each of the six alkali metals: Lithium (Li), Sodium (Na), Potassium (K), Rubidium (Rb), Cesium (Cs), and Francium (Fr).

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Consider a fixed factor ANOVA in which a chemical engineer applies the same
amount of a certain solution to equal amounts (10g, weight) of each of the six
alkali metals: Lithium (Li), Sodium (Na), Potassium (K), Rubidium (Rb), Cesium
(Cs), and Francium (Fr).
For each of the six alkali metals, a sample size of n = 11 was taken.
The chemical engineer wishes to determine if there is a difference in the time it
takes for each of the six alkali metals to dissolve when treated with this certain
solution, so an ANOVA at a = 0.05 was conducted.
The population variances were all judged to be equal, and each population was
judged to follow a normal distribution, and the samples were taken
independently of each other.
The following (partial) ANOVA table was constructed:
Source
df
SS
MS
F
p-value
Chemical
???
127.13
42.38
????
????
Error
???
663.36
16.55
Total
???
What is the value of the F test statistic?
O 0.3334
O 0.3905
O 5.2180
O None of the above.
Transcribed Image Text:Consider a fixed factor ANOVA in which a chemical engineer applies the same amount of a certain solution to equal amounts (10g, weight) of each of the six alkali metals: Lithium (Li), Sodium (Na), Potassium (K), Rubidium (Rb), Cesium (Cs), and Francium (Fr). For each of the six alkali metals, a sample size of n = 11 was taken. The chemical engineer wishes to determine if there is a difference in the time it takes for each of the six alkali metals to dissolve when treated with this certain solution, so an ANOVA at a = 0.05 was conducted. The population variances were all judged to be equal, and each population was judged to follow a normal distribution, and the samples were taken independently of each other. The following (partial) ANOVA table was constructed: Source df SS MS F p-value Chemical ??? 127.13 42.38 ???? ???? Error ??? 663.36 16.55 Total ??? What is the value of the F test statistic? O 0.3334 O 0.3905 O 5.2180 O None of the above.
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