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A lab is testing the amount of a certain active chemical compound in a particular drug...

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Statistics

A lab is testing the amount of a certain active chemicalcompound in a particular drug that has been recently developed. Themanufacturer claims that the average amount of the chemical is 110mg. It is known that the standard deviation in the amount of thechemical is 7 mg.

A random sample of 21 batches of the new drug is tested andfound to have a sample mean concentration of 104.5 mg of the activechemical.

a)Calculate the 95% confidence interval for the mean amount ofthe active chemical in the drug. Give your answers to 2 decimalplaces.

≤ μ ≤

b)At a significance level α = 0.05, the null hypothesis that thepopulation mean amount of the active chemical in the drug is 110 mgis

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