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:

ANOVA: Single Factor Summary Groups Count Sum Average Variance Sample 1 10 507.18 50.72 35.06 Sample 2 10 405.79 40.58 30.08 Sample 3 10 487.64 48.76 23.13 ANOVA Source SS df MS F p-value F-crit Between Groups 578.78 2 289.39 9.84 0.0006 3.354 Within Groups 794.36 27 29.42 Total 1,373.14 29

a. State the appropriate null and alternative hypotheses.

b. Conduct the appropriate test of the null hypothesis assuming that the populations have equal variances and the populations are normally distributed. 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 a  0.05.)