A dietician wants to see if there is any difference in the effectiveness of three diets. Eighteen people were randomly chosen for the test. Then each individual was randomly assigned to one of the three diets. Below you are given the total amount of weight lost in six months by each person. 
a.State the null and alternative hypotheses.
b.Calculate the test statistic.
c.What would you advise the dietician about the effectiveness of the three diets? Use a .05 level of significance.
Definitions:
Moral Perspective
Involves the viewpoint or stance from which ethical rightness or wrongness is determined, often based on societal, cultural, or personal values.
Rights
Legal, social, or ethical principles of freedom or entitlement; the fundamental normative rules about what is allowed of people or owed to people.
Individual
Pertains to a single human being as distinct from a group, class, or family.
Kohlberg
Lawrence Kohlberg proposed a theory of moral development consisting of six stages within three levels, indicating how individuals' abilities to judge right from wrong evolve through their lifetime.
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