A drug company produces pills containing an active ingredient. The company is concerned about the mean weight of this ingredient per pill, but it also requires that the variance (in squared milligrams) be no more than 1.5. A random sample of 20 pills is selected, and the sample variance is found to be 2.05. How likely is it that a sample variance this high or higher would be found if the population variance is, in fact, 1.5? Assume that the population distribution is normal.
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