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The data in the following table resulted from an experiment that utilized a completely randomized design:

Trtmnt 1 Tment 2         Trtmnt 3

3.8 5.4 1.3

1.2 2.0 0.7

4.1 4.8 2.2

5.5 3.8

2.3   

a. Use statistical software (or formulas) to complete the following ANOVA table:

Source               df        SS MS      F

Treatments

Error

Total

b. Test the null hypothesis that mu1=mu2=mu3, where mui represents the true mean for treatment i, against the alternative that at least two of the means differ. Use a=.01.

Explanation / Answer

b) Note p value is larger than 0.01, hence we will accept the null hypothesis.

ANOVA Source of Variation SS df MS F P-value F crit Between Groups 12.30116667 2 6.150583 2.93071 0.104669 8.021517 Within Groups 18.888 9 2.098667 Total 31.18916667 11

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