A Dietician Wants to See If There Is Any Difference

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.