A researcher conducts an ANOVA to compare the mean systolic blood pressure among four different diet groups. The SPSS output gives a $p$-value of $0.012$. Using a significance level of $0.05$, what should the researcher conclude? Does the ANOVA test specify which diet groups differ in their means?

Which statement best defines the Tukey-Kramer test?

An ANOVA table shows Source: Error, SS = 88.96, df = 22, MS = 4.0436. You have 5 groups and a total sample size N = 27. Which two values should you record for the Tukey-Kramer calculation?

You computed q statistics for three pairwise comparisons of a three-group experiment: q12 = 1.95, q13 = 4.50, q23 = 2.55. If the studentized range table gives q_critical = 3.05 for alpha = 0.05, k = 3, df = 27, which pairs are significantly different?

A study with k = 4 groups and error df = 20 uses alpha = 0.05. You have computed q statistics: 3.10, 2.85, 4.20, 1.75, 3.95, 2.10 (six pairwise comparisons). If q_critical from the q table is 3.77 for these parameters, which statements are correct about significance and how many pairwise nulls are rejected?