two sets of 60 high school students each were taught algebra by two methods, respectively. the experimental group used programmed learning and no formal lectures; the control group was given formal lectures by a teacher. at the end of the experiment both groups were given a standardized test. the sample mean for the experimental group was 82 with a standard deviation of 9. the control group had a sample mean of 74 witha standard deviation of 12. researchers claim that the experimental group will have a higher mean score than the control group. using a 0.05 significance level and the statcrunch output what is the correct decision for this hypothesis test?