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:
California
A state located on the west coast of the United States, known for its diverse geography, including beaches, forests, and deserts, as well as being a global hub for technology and entertainment industries.
Mexican-American War
A conflict between the United States and Mexico from 1846 to 1848, resulting in the U.S. acquisition of territories that would become southwestern states.
Fugitive Slave Act
Legislation passed in 1850 requiring the return of escaped slaves to their owners, even if they were in a free state.
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