A University Lecturer Claims That Students Who Attend Lecturers Score

Essay

A university lecturer claims that students who attend lecturers score a higher final mark in her course than students who watch the lecture recordings online. The lecturer takes a random sample of the final marks of 40 students who attended her university lectures and found their average mark was 65 with a standard deviation of 5. The lecturer takes a random sample of 30 university students who watched the lecture recordings online and found their average mark was 60 with a standard deviation of 8. Is there significant evidence to support this university lecturer's claim? Test at the 5% level of significance, assuming that the population variances are unequal.