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A pharmaceutical company manufactures a 200-milligram (mg) pain reliever. Company specifications require that the standard deviation...

A pharmaceutical company manufactures a 200-milligram (mg) pain reliever. Company specifications require that the standard deviation of the amount of the active ingredient must not exceed 5 mg. The quality-control manager selects a random sample fo 30 tablets from a certain batch and finds that the sample standard deviation is 7.3 mg. Assume that the amount of the active ingredient is normally distributed. Determine whether the standard deviation of the amount of the active ingredient is greater than 5 mg at the 0.05 level of significance.

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Expert Solution

Let denotes the true standard deviation of the amount of the active ingredient.

There is sufficient evidence to support the claim that the standard deviation of the amount of the active ingredient is greater than 5 mg.

orchestra answered 2 years ago
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