The iron content in three different types of food is shown. At the 0.10 level of significance, is there sufficient evidence to conclude that a difference in mean iron content exists for meats and fish, breakfast cereals, and nutritional high-protein drinks?

If the null hypothesis is rejected, use the Scheffé test when the sample sizes are unequal to test the differences between the means, and use the Tukey test when the sample sizes are equal. Perform these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results, and explain where the differences in means are.
Use the traditional method of hypothesis testing unless otherwise specified.

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Meats and fish 3.4 2.5 5.5 5.3 2.5 1.3 2.7 Breakfast cereals Nutritional drinks 3.8 3.8 6.8 1.5 4.5 3.6 3.6 4.5 5.5 2.7 3.6 6.3