A firm that specializes in preparing recent law school graduates for the state bar exam has formulated two alternatives to their current preparation course. To examine the relative effectiveness of the three possible courses, they have set up a study in which they randomly assigned a group of recent graduates so that five of them take each preparation program. For the five who have taken alternative program A, their eventual scores on the bar exam are 82, 75, 57, 74, and 74. For the five who have taken alternative program B, their eventual scores on the bar exam are 73, 63, 57, 59, and 76. For the five who have taken the current program, their eventual scores on the bar exam are 74, 71, 66, 78, and 61. (The data are also in file XR12088.) At the 0.025 level of significance, can the firm conclude that the three preparation programs might be equally effective in getting recent graduates ready for the state bar exam?
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