A c o m p le te ly ra n d o m iz e d d esign o f an analysis o f variance e x p e rim e n t p ro d u c ed a p o rtio n o f th e fo llo w in g ANO VA table.

Groups Count Average Column 1 6 0.57 Column 2 6 1.38 Column 3 6 2.33 ANOVA Source of Variation SS df MS F p-value F crit Between Groups 9.12 2 4.56 12.84 0.0006 3.68 Within Groups 5.33 15 0.36 Total 14.46 17

a. C onduct an ANOVA test a t th e 5 % significance level to d e te rm in e if som e p o p u la tio n m ea n s differ.

b. Calculate 95% confidence interval estimates of μ1 − μ2 , μ1 − μ3 , a n d μ2 − μ3 with Tukey's approach.

c. Given your response to part

b, which means significantly P-69 differ?