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Identify and provide an explanation of the differences
between homogeneous and heterogeneous sampling in the context of sampling
methods.
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- In the technique of high performance liquid chromatography (HPLC) the peak area response for a particular analyte is directly proportional to concentration Analgesic tablets typically consist of aspirin and caffeine as the active ingredients, the remainder made up of inert binding material. The concentrations of aspirin and caffeine may be routinely monitored using HPLC, whereby the peak areas obtained from a solution of the tablet are compared with those obtained from standard solutions of the analytes. In an analysis to determine the concentration of caffeine in such a tablet, the following data were recorded: Solutions Analysed: Tablet Sample: Mass of tablet (dissolved in 250 cm methano): 0.523 g Caffeine Standard: Mass of caffeine (diessolved in 500 cm methanol) 0.105 g HPLC results: Solution Peak Area (catfeine) 1. Tablet Sample 325 2. Caffeine Std. 865 The concentration of caffeine in the tablet (expressed as a mass (w/wl percentage) was Oa 1.89 Ob 13.4 O 3.77 Od. 267 Oe 7.54 You…Explain the difference between random sampling and haphazard sampling as used in Analytical chemistry.Calculate the mean and 90% confidence interval for the data set. Sample Value 1 8.0626 8.0650 3 8.0583 4 8.0564 8.0571 6. 8.0600 mean: étv A A hulu 2. 5.
- Analysis of several plant-food preparations for potassium ion yielded the following data: Sample Percent K+1 6.02, 6.04, 5.88, 6.06, 5.822 5.29, 5.13, 5.14, 5.28, 5.20 The preparations were randomly drawn from the same population.(a) Find the mean and standard deviation s , variance , andCV for each sample.Question: Using a method for the determination of % CaO in limestone the following results were obtained for a NIST Certified Reference Sample (CRM): % Cao 50.38, 50.20, 50.31, 50.22 50.41 Five samples were obtained from a railcar of limestone. The analysis of the samples gave the following results: % CaO 55.01, 59.61, 58.82, 64.39, 62.49 a) Determine the variance due to sampling. b) If the samples taken from the railcar had a mass of 0.500 g, what mass3. Identify the data set with the highest (a) precision and (b) accuracy. Data set Certified true Mean Standard Percent Error value deviation 1 0.500 0.444 0.041 2 1.00 1.33 0.253 50.00 45.20 0.041 100.0 99.1 3.22 23 3 4 CO
- A homogeneous mixture has O not a uniform composition throughout more than one phase on a uniform composition throughout non-uniformly distributed particlesA sample is selected from a population with µ = 46, and a treatment is administered to the sample. After treatment, the sample mean is M = 48 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen’s d?The ages of a group of 122 randomly selected adult females have a standard deviation of 18.5 years Assume that the ages of female statistics students have less variation than ages of females in the general population, so let o = 18 5 years for the sample size caloulation How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that we want 95% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is (Round up to the nearest whole number as needed)
- [References) A method for the determination of the corticosteroid methylprednisolone acetate in solutions obtained from pharmaceutical preparations yielded a mean value of 3.7 mg mL with a standard deviation of 0.3 mg mL. For quality control purposes, the relative uncertainty in the concentration should be no more than 3%. How many samples of each batch should be analyzed to ensure that the relative standard deviation does not exceed 9% at the 95% confidence level? samplesA method for the determination of the corticosteroid methylprednisolone acetate in solutions obtained from pharmaceutical preparations yielded a mean value of 3.7 mg mL with a standard deviation of 0.3 mg mL. For quality control purposes, the relative uncertainty in the concentration should be no more than 3%. How many samples of each batch should be analyzed to ensure that the relative standard deviation does not exceed 9% at the 95% confidence level? samplesA manufacturer’s process for analyzing aspirin tablets has a known variance of 25. A sample of 10 aspirin tablets is selected and analyzed for the amount of aspirin, yielding the following results in mg aspirin/tablet. 254 249 252 252 249 249 250 247 251 252 Determine whether there is any evidence of a significant difference between that the sample’s variance the expected variance at α=0.05
