Question 4 A teaching development team is seeking to evaluate the effectiveness of different teaching strategies in improving student academic performance. Such teaching strategies include conventional methods of lecturing in class as well as the flipped classroom method of inde- pendent student learning prior to and outside of class, among others. Recently a study was conducted where four different teaching strategies were compared. Students were randomly assigned to one of the four strategies depending on which course section they were registered in. Their overall course grade at the end of the term was used as a measure of academic performance. The summary of the measurements is provided in the table below. ni Sample Mean (i.) Sample SD (si) Strategy 1 80 80.5 7.2 Strategy 2 80 76.4 6.4 Strategy 3 80 77.6 8.6 Strategy 4 80 82.8 8.1 Carry out an ANOVA test at a significance level of a = 0.05 to determine whether student academic performance differs with respect to the teaching strategy employed. a) Write the relevant hypotheses for the proposed ANOVA test. Be sure to define all parameter notation. b) Carry out the calculations necessary for conducting an ANOVA test and provide the complete ANOVA table with all entries filled in. Remember to show your work. Given an a significance level of 0.05, determine the critical value appropriate for this test. What is your final conclusion regarding the comparison between teaching strate- gies on student academic performance?