A clinical psychologist wished to compare three methods for reducing hostility levels in university students using a certain psychological test (HLT). High scores on this test were taken to indicate great hostility, and 11 students who got high and nearly equal scores were used in the experiment. Five were selected at random from among the 11 students and treated by method A, three were taken at random from the remaining six students and treated by method B, and the other three students were treated by method C. All treatments continued throughout a semester, when the HLT test was given again. The results are shown in the table.

a. Perform an analysis of variance for this experiment.
b. Do the data provide sufficient evidence to indicate a difference in mean student scores after treatment for the three methods?

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Method Scores on the HLT Test 73 83 76 68 80 54 74 71 79 95 87