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:

Indifference Curve

A graph showing different combinations of two goods between which a consumer is indifferent.

Total Utility

The total satisfaction received from consuming a particular amount of goods or services.

Indifference Curve

A graph that shows combinations of two goods that give a consumer equal satisfaction and utility.

Utility Levels

Quantitative measures of the satisfaction or happiness that individuals derive from consuming goods and services.