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A drug, which is used for treating cancer, has potentially dangerous side effects if it is...

A drug, which is used for treating cancer, has potentially dangerous side effects if it is taken in doses which are larger than the required dosage for the treatment. The tablet should contain 56.02mg and the standard deviation should be 0.02. 12 tablets are randomly selected and the amount of drug in each tablet is measured. The sample has a mean of 56.025mg and a variance of 0.0001mg. Does the data suggest at α=0.05

that the tablets vary by less than the desired amount?

Step 1 of 5 :

State the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary.

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