# Hypothesis Testing - Dozenol

The nighttime cold medicine Dozenol bears the label indicating the presence of 600 mg of acetaminophen in each fluid ounce of drug. The Food and Drug administration randomly selected 98 one ounce samples and found that the mean acetaminophen is 575 mg, whereas the standard deviation is 55 mg. Use a 21% significance level and test the claim of the US Food and Drug Administration that the mean is significantly less than 600mg. Assume the population standard deviation is known.

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Solution. We can use z-test, as the population standard deviation is known to be sigma=55 mg. Now, we can ...

#### Solution Summary

The nighttime cold medicine Dozenol bears the label indicating the presence of 600 mg of acetaminophen in each fluid ounce of drug. The Food and Drug administration randomly selected 98 one ounce samples and found that the mean acetaminophen is 575 mg, whereas the standard deviation is 55 mg. Use a 21% significance level and test the claim of the US Food and Drug Administration that the mean is significantly less than 600mg. Assume the population standard deviation is known.