A one-way analysis of variance experiment produced the following ANOVA table. (You may find it useful to reference the q table).
SUMMARY
Groups
Count
Average
Column 1
5
0.89
Column 2
5
1.55
Column 3
5
2.62
Source of Variation
SS
df
MS
F
p-value
Between Groups
9.34
2
4.67
8.81
0.0044
Within Groups
6.33
12
0.53
Total
15.67
14
a. Conduct an ANOVA test at the 1% significance level to determine if some population means differ.
multiple choice
Reject H0; we can conclude that some population means differ.
Reject H0; we cannot conclude that some population means differ.
Do not reject H0; we can conclude that some population means differ.
Do not reject H0; we cannot conclude that some population means differ.
b. Calculate 99% confidence interval estimates of μ1 − μ2, μ1 − μ3, and μ2 − μ3 with Tukey's HSD approach. (If the exact value for nT – c is 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.)
c. Given your response to part b, which means significantly differ?