A pharmaceutical company manufactures a 81-mg pain reliever. Company specifications include that the standard deviation of the amount of the active ingredient must not exceed 2 mg. The quality-control manager selects a random sample of 30 tablets from a certain batch and finds that the standard deviation is 2.4 mg. Assume that the amount of the active ingredient is normally distributed. Test the claim that the standard deviation of the amount of the active ingredient is greater than 2 mg at the ? = 0.05 level of significance.
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