Let’s say you work as an analyst at a pharma company which manufactures an antipyretic drug (tablet form) with paracetamol as the active ingredient. The amount of paracetamol specified by the drug regulatory authorities is 500 mg with a permissible error of 10%. Anything below 450 mg would be a quality issue for your company since the drug will be ineffective, while above 550 mg would be a serious regulatory issue.Question 2/3MandatoryContinuous Probability DistributionsNow, the company’s QC (Quality Control) department comes and selects a tablet at random from Batch Z2. It is interested in finding if the paracetamol level is above 450 mg or not.What is the probability that the tablet selected by QC has a paracetamol level above 450 mg?

Continuous Probability DistributionsNow, the company’s QC (Quality Control) department comes and selects a tablet at random from Batch Z2. It is interested in finding if the paracetamol level is above 450 mg or not.What is the probability that the tablet selected by QC has a paracetamol level above 450 mg?

Continuous Probability DistributionsNow, let’s say that QC decides to sample one more tablet. This time, it selects a tablet from Batch Y4. Based on previous knowledge, you know that Batch Y4 has a mean paracetamol level of 505 mg, and its standard deviation is 25 mg. This time, QC wants to check both the upper limit and the lower limit for the paracetamol level.What is the probability that the tablet selected by QC has a paracetamol level between 450 mg and 550 mg?

Cumulative Probability DistributionsThe regulatory authority selects a random tablet from Batch Z2. Based on previous knowledge, you know that Batch Z2 has a mean paracetamol level of 510 mg, and its standard deviation is 20 mg.What is the probability that the tablet that has been selected by the authority has a paracetamol level below 550 mg?

For the following scenarios, give the null and alternative hypotheses and state in words what µ represents in your hypotheses.Question 3: An analytical chemistry lab is conducting quality control tests on a drug. A single dosage of the drug should contain 8 mg of active ingredient. Of course, there will be a small amount of variability due to imperfections in the production process, but the mean of all dosages produced should be 8 mg. In 20 random samples, the mean amount of active ingredient is 7.7 mg. Do the data suggest that the mean amount of active ingredient in all dosages produced is different from 8 mg?

What are the two general situations that would alter the quality or performance of a solid dosage form and would also require FDA approval?