the article "an alternative vote: applying science to the teaching of science" describes an experiment conducted. a total of 450 engineering students enrolled in a physics course participated in an experiment. students were randomly assigned to one of two groups. both groups attended the same lectures for the first 11 weeks. in the twelfth week one of the groups was switched to a style of teaching where students were expected to do reading assignments prior to class. the second group continued with the traditional lecture approach. at the end of 12 weeks students were given a test over the course of material. the mean for the group with the new teaching method was 74 and the mean for the group for students in the traditional lecture was41. the two groups consisted of 425 students. the standard deviation of test scores for the teaching method group and the traditional method group were 29 and 26. estimate the difference in mean test score for the two methods using 95% confidence interval