PLEASE JUSTYFY YOUR ANSWER< WHY THIS TEST AND NOT ANOTHER ONE AND TYPE IN THE DETAILS OF CALULATIONS ADDITIONALLY YOU NEED TO GO THOUGH EACH STEPS OF HYPOTHESIS TESTING :

DEFINE THE HYPOTHESES, THE PARAMETERS OF INTERESTS, THE TYPE 1 ERROR AND SO ON UNTILL THE FINAL WORKING CONCLUSION.

Nostrum Laboratories, Inc. should they have issued Voluntary Nationwide Recall of Metformin HCl Extended Release Tablets, USP 500 mg, Due to N-Nitrosodimethylamine (NDMA) Content Above the Acceptable Daily Intake (ADI) Limit

You are the quality control manager in a FDA lab an independent control lab, your role is to verify a journalist's claim (article title above). You are a professional and know your job, You know you need to use hypothesis testing to decide or not if this single number means you should recall the Metformin HCL. Nostrum lab is ordered to provide you with their quality control data and you are to evaluate if yes or not the company is at fault and should have recalled the lot. In other words you are to test if NDMA measure in the quality control sample is larger that the ADI limit.

THE ADI limit for NDMA is 85, is normally distributed, and = 5.54 . The data from the quality control department at Nostrum labs shows that the mean NDMA is 95.78. Use = 5%.