Two teaching methods, equal spreads: pooled t-test
Two teaching methods are compared on separate groups of students with similar score spreads, so equal variances are assumed. Method A: 15 students, mean 82, sample standard deviation 10. Method B: 15 students, mean 73, sample standard deviation 8.
Run a pooled two-sample t-test at the 5% level (two-sided): do the mean scores differ? Report the t-statistic.