Question

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 58.32⁢mg and the variance should be 0.03. 25 tablets are randomly selected and the amount of drug in each tablet is measured. The sample has a mean of 58.325⁢mg and a variance of 0.004⁢mg. 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.

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 test statistic.

Step 4 of 5:

Determine if whether to reject or fail the null hypothesis

Step 5 of 5: What is the conclusion?

Answer 1