In a Diet Test, Each of Four Diet Programs Is

question 43

Essay

In a diet test, each of four diet programs is applies to a sample of people. At the end of three weeks, the amount of pounds people lost is shown below. $\begin{array} { | c | c | c | c | } \hline { \text { Diet Program } } \\\hline 1 & 2 & 3 & 4 \\\hline 12 & 19 & 16 & 28 \\\hline 6 & 10 & 20 & 17 \\\hline 18 & 13 & 26 & 22 \\\hline 23 & 20 & 19 & 16 \\\hline & 25 & & 20 \\\hline\end{array}$ Test to determine whether there is enough evidence at the 5% significance level to infer that at least two population locations differ.

---

Definitions:

Suicide

The act of intentionally causing one's own death, often driven by despair, mental health disorders, or acute distress.

Elderly White Male

A demographic categorization referring to men of Caucasian ancestry who are typically considered to be in the later stage of their life, often defined as aged 65 years and older.

Adolescent African-American Male

A demographic group defined by age (typically 13-19 years), racial identity, and gender, often the subject of studies focusing on cultural, social, and psychological experiences.

Dissociative Disorder

A mental health condition involving disruptions or breakdowns of memory, awareness, identity, or perception, often due to psychological trauma.