A Researcher Wants to Study the Effects of Physical Exercise

question 56

Multiple Choice

A researcher wants to study the effects of physical exercise on depression.She randomly selects a group of 24 individuals who are equally depressed.None of these individuals currently exercises.She then randomly assigns them in one of three groups: group 1 stays without exercising (sedentary group) , group 2 exercises once a week, and group 3 exercises two times a week.Individuals in groups 2 and 3 meet with a personal trainer so they carry out a very similar exercise program (kinds of exercises and intensity) .After two months, the researcher has all individuals take a depression-assessment test.The score of the test goes from 0 = totally miserable to 100 = complete satisfaction. The scores are shown in the following table:
$$\begin{array} { | c c c | } \hline \text { Group 1 } & \text { Group 2 } & \text { Group } 3 \\\hline 25 & 24 & 35 \\15 & 16 & 22 \\20 & 19 & 31 \\17 & 24 & 32 \\23 & 25 & 31 \\21 & 25 & 29 \\19 & 21 & 33 \\18 & 18 & 35 \\\hline\end{array}$$ The researcher uses a Kruskal-Wallis test and a significance level $\alpha$ = 0.05.The sum of the ranks for group 3, T_3, is ______.

• A)157
• B)158
• C)159
• D)160
• E)161

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Definitions:

Children

Young individuals in the early stages of life who are in the process of developing physically, mentally, emotionally, and socially.

Policies

Guidelines or principles adopted or proposed by an organization, government, or individual to direct decision making and strategies.

Well-Being

The state of being comfortable, healthy, or happy, encompassing both physical and mental health.

Family

A social unit consisting of individuals related by blood, marriage, or adoption, often forming a household and providing mutual support.