Analytical Chem istry - DePauw University

134 Analytical Chemistry 2.0centage of tablets contain more than the standard amount of 250 mgacetaminophen per tablet?3. Salem and Galan developed a new method for determining the amountof morphine hydrochloride in tablets. 17 An analysis of tablets with differentnominal dosages gave the following results (in mg/tablet).Many of the problems that follow require accessto statistical tables. For your convenience,here are hyperlinks to the appendices containingthese tables.Appendix 3: Single-Sided Normal DistributionAppendix 4: Critical Values for the t-TestAppendix 5: Critical Values for the F-TestAppendix 6: Critical Values for Dixon’s Q-TestAppendix 7: Critical Values for Grubb’s TestSee Chapter 15 to learn more about usinga spike recovery to evaluate an analyticalmethod.100-mg tablets 60-mg tablets 30-mg tablets 10-mg tablets99.17 54.21 28.51 9.0694.31 55.62 26.25 8.8395.92 57.40 25.92 9.0894.55 57.51 28.6293.83 52.59 24.93(a) For each dosage, calculate the mean and standard deviation for themg of morphine hydrochloride per tablet. (b) For each dosage level,assuming that X and s 2 are good approximations for m and s 2 , andthat the population is normally distributed, what percentage of tabletscontain more than the nominal amount of morphine hydrochloride pertablet?4. Daskalakis and co-workers evaluated several procedures for digestingoyster and mussel tissue prior to analyzing them for silver. 18 To evaluatethe procedures they spiked samples with known amounts of silverand analyzed the samples to determine the amount of silver, reportingresults as the percentage of added silver found in the analysis. A procedurewas judged acceptable is the spike recoveries fell within the range100±15%. The spike recoveries for one method are shown here.106% 108% 92% 99%101% 93% 93% 104%Assuming a normal distribution for the spike recoveries, what is theprobability that any single spike recovery will be within the acceptedrange?5. The formula weight (FW) of a gas can be determined using the followingform of the ideal gas lawFW= gRTPVwhere g is the mass in grams, R is the gas constant, T is the temperaturein Kelvin, P is the pressure in atmospheres, and V is the volume in liters.17 Salem, I. I.; Galan, A. C. Anal. Chim. Acta 1993, 283, 334–337.18 Daskalakis, K. D.; O’Connor, T. P.; Crecelius, E. A. Environ. Sci. Technol. 1997, 31, 2303–2306.