Measuring active ingredient in medicine, σ = 0.0068
One product is tested 16 times, giving mean concentration 0.0724 gm per litre
In this scenario, σ is known but the population mean, µ, is unknown. (Many chemical analyses often have known error distributions, though the population mean depends on the particular compound being analysed and must be estimated.)
Based on the known value of σ,
error ~ normal (0, σ = )
Drag the slider to see the error distribution for the data (n = 16).
Our estimate of 0.0724 grams per litre is unlikely to be more than 0.004 from the true concentration for this product
Chemical analysis of pharmaceutical specimens is not precise. One analysis gives concentrations of an active ingredient that are centred on the true concentration, µ gm per litre.
X ~ normal (μ , σ = 0.0068)