Use the traditional or classical 8-Step Approach for hypothesis testing and the formulas from chapter to justify your answer for the following questions. Be sure to state conclusions written in paragraph form for the hypothesis testing where appropriate. A follow-up sentence may be needed in your conclusion as well.
#5) A researcher is testing the effectiveness of two different methods of teaching Chemistry. Method 1 uses a Lecture-based approach and Method 2 uses an Internet-based approach. The resulting statistics for the scores on the comprehensive final test are shown in the table below:
Method 1 (Lecture-based Approach): n1 = 29, X1 = 81.2, S1 = 7.
Method 2 (Internet-based Approach): n2 = 24, X2 = 76.7, S2 = 6.3.
Assume samples were taken from independent and normally distributed populations where σ1 and σ2 are unknown and not assumed equal.
Test the claim that the mean scores on the comprehensive final test are equal for the groups taught by Method 1 versus Method 2. Use α = 0.05.