Reference no: EM132344059
Case: Drug content assessment
Scientists at GlaxoSmithKline Medicines Research
Center used high-performance liquid chromatography (HPLC) to determine the amount of drug in a tablet produced by the company (Reported in Analytical Chemistry, Dec 15, 2009).
Drug concentrations (measured as a percentage) from randomly selected tablets are tested for quality control purposes.
In this study, random samples of 25 tables were taken each from two different, independent production sites, Site#1 and Site#2. That is, there is a total of 50 random sample of tables in two groups together.
Drug concentration in each tablet is given in the data table (in a separate Excel file).
Researchers want to know: Is there a significant difference in drug concentration between the two sites?
Your task as statisticians is to conduct statistical analyses to investigate the issues and find answers. Present your analyses and findings as a report.
Outline
Your analysis and report must include the following:
1. Descriptive statistics of the variables. That is, data analysis of Site#1 and Site#2 data. Use a statistical software for the purpose. Need to explain the major findings.
2. Graphs of Site#1 and Site#2 data. They must include histogram with normal curve superimposed, stem-and-leaf, boxplot and QQ plot. Need to provide brief comments on histogram, boxplot and QQ Plot.
3. Explain the shapes of the data distribution for Site#1 and Site#2.
4. Conduct a confidence interval estimate for the mean difference in drug concentration between Site#1 and Site#2. Explain the assumptions and findings.
5. Conduct a hypothesis test for the mean difference in drug concentration between Site#1 and Site#2. State the hypotheses. Explain the assumptions and findings.
DATA
HPLC TEST DATA Site_1 Drug Concentration 91.28 92.83 89.35 91.9 82.85 94.83 89.83 89 84.62 86.96 88.32 91.17 83.86 89.74 92.24 92.59 84.21 89.36 90.96 92.85 89.39 89.82 89.91 92.16 88.67
HPLC TEST DATA Site_2 Drug Concentration 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.1 83.33 87.61 88.2 92.78 86.35 93.84 91.2 93.44 86.77 83.77 93.19 81.79