A Dietician Wants to See If There Is Any Difference

question 41

Essay

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.
$$\begin{array} { c c c } \text { Diet A } & \text { Diet B } & \text { Diet C} \\14 & 12 & 25 \\18 & 10 & 32 \\20 & 22 & 18 \\12 & 12 & 14 \\20 & 16 & 17 \\18 & 12 & 14\end{array}$$
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:

Oxidation-Reduction Reactions

Chemical reactions involving the transfer of electrons between two substances, altering their oxidation states and often producing energy.

Substrate

The surface or material on or in which an organism lives, grows, or reacts, or a substance acted upon by an enzyme.

Reactant

Molecule that enters a reaction and is changed by participating in it.

Cofactor

A non-protein chemical compound or metallic ion that is required for a protein's biological activity to happen.