In: Math
a team of educational researchers want to assess the learning outcomes of courses that are offered in traditional face-to-face classroom as compare with online sections. section 1 (traditional classroom) consisted 101 students and section 2 (online class) were 105 students. At the end of the semester the researchers measured achievement scores. students in section 1 had an average of 85 with standard deviation of 6.5 and section 2 (online) earned an average of 78.0 with standard deviation of 9.5. is there a significant difference between the traditional and online class outcomes? at 95% level, apply five-step hypothesis testing and interpret the result.
Let denote the average achievement scores of students in section 1 and section 2 respectively.