Drug Potency To properly treat patients,drugs prescribed by physicians must not only

Chapter 10, Problem 53

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Drug Potency To properly treat patients,drugs prescribed by physicians must not only have amean potency value as specified on the drugs container,but also the variation in potency values must be small.Otherwise, pharmacists would be distributing drug prescriptionsthat could be harmfully potent or have a lowpotency and be ineffective. A drug manufacturer claimsthat his drug has a potency of 5 .1 milligram percubic centimeter (mg/cc). A random sample of fourcontainers gave potency readings equal to 4.94, 5.09,5.03, and 4.90 mg/cc.a. Do the data present sufficient evidence to indicatethat the mean potency differs from 5 mg/cc?b. Do the data present sufficient evidence to indicatethat the variation in potency differs from the errorlimits specified by the manufacturer? (HINT: It issometimes difficult to determine exactly what is meant by limits on potency as specified by a manufacturer.Since he implies that the potency valueswill fall into the interval 5 .1 mg/cc with very highprobabilitythe implication is almost alwayslet usassume that the range .2; or 4.9 to 5.1, represents 6s,as suggested by the Empirical Rule).