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An instructiоnаl resоurces cоmpаny clаims to have a method to train students which will increase their scores on any standardized test. Concerned that their admission process would be adversely affected, a large university decides to test this claim. The registrar selects, using a method which is independent and random, a group of n=150 high school students. This group is randomly divided in two, n1 =75 students are sent to be trained to increase their test scores and n2 =75 students are shown an inspirational movie to act as a control group. After training both groups are administered an old I.Q. test, the following results are obtained Ms1=108 and Ms2=104.Any changes due to training represent a change in the location of the mean rather the shape of the distribution, hence σ1 = σ2.= 15 Compute a 95% confidence interval for µ1-µ2, the difference in mean I.Q. scores for trained and untrained populations.
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