A drug, which is used for treating cancer, has potentially dangerous side effects if it is taken in doses that are larger than the required dosage for the treatment. The tablet should contain 41.54mg and the standard deviation should be 0.04. 12 tablets are randomly selected and the amount of drug in each tablet is measured. The sample has a mean of 41.535mg and a variance of 0.0012mg. Does the data suggest at α=0.01 that the tablets vary by less than the desired amount? Step 1 of 5 : State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places. Step 3 of 5 : Determine the value of the test statistic. Round your answer to three decimal places. Step 4 of 5 : Make the decision. Step 5 of 5 : What is the conclusion?
A drug, which is used for treating cancer, has potentially dangerous side effects if it is taken in doses that are larger than the required dosage for the treatment. The tablet should contain 41.54mg and the standard deviation should be 0.04. 12 tablets are randomly selected and the amount of drug in each tablet is measured. The sample has a mean of 41.535mg and a variance of 0.0012mg. Does the data suggest at α=0.01 that the tablets vary by less than the desired amount?
Step 1 of 5 :
State of the hypotheses in terms of the standard deviation. Round the standard deviation to four decimal places when necessary
Step 2 of 5 :
Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.
Step 3 of 5 :
Determine the value of the test statistic. Round your answer to three decimal places.
Step 4 of 5 :
Make the decision.
Step 5 of 5 :
What is the conclusion?
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