A drug, which is used for treating cancer, has potentially dangerous side effect

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 50.18 mg and the variance should be 0.01. 18 tablets are randomly selected and the amount of drug in each tablet is measured. The sample has a mean of 50.185 mg and a variance of 0.0021 mg. Does the data suggest at alpha = 0.05 that the tablets vary by less than the desired amount? Make the decision Reject Null Hypothesis Fail to Reject Null Hypothesis

Explanation / Answer

H0:Mu=50.18

H1:Mu<50.18

alpha:5%

Test statistic:

Since population standard deviation known we use z test

Z= 2.121

Concusion:

Z critical value=-1.645

Z cal > z critical value at 5% level , we reject the H0.

Hence claim is significant

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