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A drug manufacturer claims that for the drug to be effective the dosage needs to be .05 milligrams. The standard deviation of the dosage is

A drug manufacturer claims that for the drug to be effective the dosage needs to be .05 milligrams. The standard deviation of the dosage is .0001 milligrams. A colleague at the same pharmaceutical company believes that the dosage can be reduced to .045 milligrams and

a. State the null hypothesis to be tested.

b. State the alternative hypothesis.

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