A college administrator claims that there is no difference in first-year grade point averages for students entering the college from any of three different city high schools. The following data give the first-year grade point averages of 12 randomly chosen students, 4 from each of the three high schools. At the 5 percent level of significance, do these data disprove the claim of the administrator? If so, determine confidence intervals for the difference in means of students from the different high schools, such that we can be 95 percent confident that all of the interval statements are valid.

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School 1 School 2 School 3 3.2 3.4 2.8 3.4 3.0 2.6 3.3 3.7 3.0 3.5 3.3 2.7