In the article ''Using EDE, ANOVA and Regression to Optimize Some Microbiology Data'' (Journalof Statistics Education, Vol. 12, No. 2, online), N. Binnie analyzed bacteria-culture data collected by G. Cooper at the Auckland University of Technology. Five strains of cultured Staphylococcus aureus€”bacteria that cause staph infections€” were observed for 24 hours at 27—¦C. The following table reports bacteria counts, in millions, for different cases from each of the five strains.

At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean bacteria counts among the five strains of Staphylococcus aureus? T1 = 104, T2 = 129, T3 = 185, T4 = 98, T5 = 194, and _x2i = 25,424.
Apply Procedure to perform a one-way ANOVA test by using either the critical-value approach or the P-value approach.

Strain A Strain B Strain C Strain D Strain E 10 47 50 52 26 14 18 17 29 20 27 32 37 45 12 43 28 59 31 30 16