The average weekly unemployment benefit for the entire United States is $297. Three states are randomly selected, and a sample of weekly unemployment benefits is recorded for each. At α = 0.05 is there sufficient evidence to conclude a difference in means? If so, perform the appropriate test to find out where the difference exists.

Do a complete one-way ANOVA. If the null hypothesis is rejected, use either the Scheffé or Tukey test to see if there is a significant difference in the pairs of means. Assume all assumptions are met.

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Florida Maine 200 187 192 235 260 175 Pennsylvania 300 350 295 362 280 340 250 195 275 260 220 290