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? Enter the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma.

Explanation / Answer

H0: Mu=50.18

H1:Mu<50.18

It is left tailed test

The critical value is= Z critical value at 5% level is -1.645

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