10.14 [PT10-14] Twenty college freshmen were randomly divided into two groups. Members of one group were assigned to a statistics section that used programmed materials only.

Members of the other group were assigned to a section in which the professor lectured.

At the end of the semester, all were given the same final exam. Here are the results:

At the 5% level of significance, do these data provide sufficient evidence to conclude that on the average the students in the lecture sections performed significantly better on the final exam? Assume normality.

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Programmed 76 60 85 58 91 44 82 64 79 88 Lecture 81 62 87 70 86 77 90 63 85 83