Question

A one-way analysis of varlance experlment produced the following ANOVA table. (You may find it useful to reference the g table). SUMMARY Count Groups Column 1 Column 2 olumn 3 Source of Variation Between Groups Within Groups Total Average 8.89 1.31 2.35 SS 8.65 df 15 17 MS 4.33 0.26 16.65 8.6882 12.48 a. Conduct an ANOVA test at the 1% significance level to determine if some population means differ. o Reject Ho, we can conclude that some population means differ. Reject Ho: we cannot conclude that some population means differ. Do not reject Ho: we can conclude that some population means differ Do not reject Ho: we cannot conclude that some population means differ. b. Calculate 99% confidence interval estimates of μ1 -P2 μι-μ, and μ2-μ3 with Tukey's HSD approach. (If the exact value for nT - cis not found in the table, then round down. Negative values should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) Population Mean Confidence Interval c. Glven your response to part b, whlch means significantly differ? Population Mean Can we conclude that the Differences population means differ?

Answer 1

a)

reject Ho we can conclude that some population means differ

b)

			Lower bound	Upper bound
			|xi-xj|-LSD	|xi-xj|-LSD
μ1-μ2			-1.18	0.34
μ1-μ3			-2.22	-0.70
μ2-μ3			-1.80	-0.28

c)

not significant difference

significant difference

significant difference