A manager is interested in testing whether three populations of interest have equal population means. Simple random samples of size 10 were selected from each population. The following ANOVA table and related statistics were computed:

a. State the appropriate null and alternative hypotheses.
b. Based on your answer to part a, what conclusions can be reached about the null and alternative hypotheses. Use a 0.05 level of significance.
c. If warranted, use the Tukey-Kramer procedure for multiple comparisons to determine which populations have different means. (Assume α = 0.05.)

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ANOVA: Single Factor Summary Sum 507.18 405.79 487.64 Groups Count Average Variance Sample I Sample 2 Sample 3 10 10 10 50.72 40.58 48.76 35.06 30.08 23.13 ANOVA Source Ssdf MS F p-value F-crit Between Groups 578.78 2 289.39 9.84 0.0006 3.354 Within Groups 794.3627 29.42 Total 1,373.14 29