10.34 [EX10-034] Ten randomly selected college students, who participated in a learning community, were given pre–self-esteem and post–selfesteem surveys. A learning community is a group of students who take two or more courses together.

Typically, each learning community has a theme, and the faculty involved coordinate assignments linking the courses. Research has shown that the benefits of higher self-esteem, higher grade point averages (GPAs), and improved satisfaction in courses, as well as better retention rates, result from involvement in a learning community.

The scores on the surveys are as follows:

Student 1 2 3 4 5 6 7 8 9 10 Prescore 18 14 11 23 19 21 21 21 11 22 Postscore 17 17 10 25 20 10 24 22 10 24 Does this sample of students show sufficient evidence that self-esteem scores were higher after participation in a learning community? Lower scores indicate higher self-esteem. Use the 0.05 level of significance and assume normality of scores.