A teacher was interested in finding out whether a special study program would increase the scores of students on a national exam. Fourteen students were selected and paired according to IQ and scholastic performance. One student from each pair was randomly selected to participate in the special program, with the other student participating in the standard program. Both programs ended at the same time. Shortly thereafter, the students took the national exam. The results were as follows: Special program Standard program Descriptive statistics for two-sample test Z Variable Special Program Standard Program Mean 77.571 75.429 StDev 10.454 9.947 7 Descriptive statistics for paired test Variable Special - Standard N Mean 7 2.14 StDev 2.79 At a 5% significance level, is there sufficient evidence to indicate that the special study program is more effective in raising the national exam scores, on the average? Assume approximate normality for the population of differences.