A Course Coordinator at a University Wants to Investigate If

Essay

A course coordinator at a university wants to investigate if there is a significant difference in the average final mark of students taking the same university subject in semester 1 or semester 2. A random sample of 30 students is taken from semester 1, with the average final mark is found to be 60 and the standard deviation is 5. A random sample of 50 students is taken from semester 2, with the average final mark is 57 and the standard deviation is 4. Assuming that the population variances are equal, is there significant evidence that the population average final mark in this course differs between semester 1 and semester 2. Test at the 5% level of significance.