A chemist is interested in comparing four different catalysts by measuring reaction times.Each catalyst is tested five times,with each experiment randomly assigned one of the four catalysts.Calculate MST,MSE and the F-ratio.Can you reject H0 using α = 0.05? The ANOVA table is listed below. Analysis of Variance
Source Sum-of-Squares df Mean-Square F-ratio P-value
Catalyst 9.310
Error 79.320
Total 88.630
A) MST = 2.328; MSE = 4.958; F-Ratio = 0.470; No,do not reject H0 using α = 0.05.
B) MST = 3.103; MSE = 4.666; F-Ratio = 0.665; No,do not reject H0 using α = 0.05.
C) MST = 3.103; MSE = 4.175; F-Ratio = 0.743; No,do not reject H0 using α = 0.05.
D) MST = 2.328; MSE = 4.175; F-Ratio = 0.558; Yes,reject H0 using α = 0.05.
E) MST = 3.103; MSE = 4.958; F-Ratio = 0.626; No,do not reject H0 using α = 0.05.
Correct Answer:
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