A Researcher Wants to Study the Effects of Physical Exercise

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:
The researcher uses a Kruskal-Wallis test and a significance level α = 0.05.The critical chi-square value is ______.

A) 9.35
B) 7.82
C) 7.38
D) 6.82
E) 5.99