A Researcher Wants to Study the Effects of Physical Exercise

question 105

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 exercising program, both in kinds of exercises and in 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 observed K statistic is ______.

• A)10.16625
• B)10.7525
• C)11.16625
• D)12.7525
• E)13.16625

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Definitions:

Voting Trust

An arrangement where the shares of a company's stock are placed under the control of a trustee, often to consolidate voting power or to make unified decisions on behalf of the shareholders.

Directors

Individuals elected by shareholders to oversee the management of a corporation and make major decisions.

Election

The formal process of selecting a candidate for office or deciding on a policy issue, typically through the casting of ballots.

Duty of Obedience

The obligation of board members and officers of an organization to follow the organization’s governing statutes and goals, acting within the scope of their authority.