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.

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Definitions:

Homosexual Orientation

A sexual orientation characterized by a pattern of sexual or romantic attraction to individuals of the same sex.

Men

Refers to adult human males, typically characterized by higher levels of androgens and secondary sexual characteristics such as facial hair and a deeper voice than females.

Women

Adult human females, often highlighted in studies and discussions related to gender-specific topics in culture, science, and society.

Homosexual Orientation

A sexual orientation characterized by emotional, romantic, or sexual attraction to individuals of the same sex.