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Anova

We want to examine the effectiveness of a new antidepressant. Depressed patients were randomly assigned to three groups: a placebo group, low dose group, moderate dose group. After four weeks of treatment, the patients were tested. The higher the score, the more depressed the patient. The data are presented below.

Placebo -> 38, 47, 39, 25, 42
Low Dose -> 22, 19, 8, 23, 31
Moderate Dose -> 14, 26, 11, 18, 5

Write a function that:

Takes 4 parameters:
dataset1: List
dataset2: List
dataset3: List
probability_level: float
Returns:
True, if there is difference between the three sets.
False, if there is no difference.

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