Question: A pharmaceutical manufacturing company is evaluating its quality control processes. The company has set strict standards for the active ingredient content in its medications, with

A pharmaceutical manufacturing company is evaluating its quality control processes. The company has set strict standards for the active ingredient content in its medications, with an acceptable mean of 250mg per tablet and a variance of no more than 25mg. The quality assurance team regularly tests batches of medication using statistical hypothesis testing to ensure that they meet these standards.

What statistical testing approaches would work best for pharmaceutical quality control, and why?
How could statistical errors affect this medication's safety, efficacy, and business outcomes?
Beyond chi-square tests, what statistical tools might reveal important patterns in manufacturing consistency?

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