Ten randomly selected college students who participated in a learning community were given pre€“self-esteem and post€“self-esteem 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 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:

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.

Student 2 3 4 5 6 7 8 9 10 Prescore 18 14 1 23 19 21 21 21 11 22 Postscore 17 17 10 25 20 10 24 22 10 24