5. Consider the following sets of replicate measurements: *A в *C D "E F 0.514 0.503 0.486 2.7 70.24 70.65 3.5 3.1 3.1 3.3 0.812 3.0 70.22 0.792 70.63 70.64 2.6 70.10 0.794 0.497 0.472 2.8 0.900 70.21 3.2 2.5 a. Calculate the mean, SD, and confidence interval at 95% confidence level for each of the six sets. b. The last result in each set may be an outlier. Apply the outlier at 95% confidence level to determine whether or not there is a statistical basis to reject the results.
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- 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.Given the following data, calculate the 95% confidence interval. 0.452 0.453 0.448 0.456 0.458 Average = 0.4534 St. Dev. = 0.003847 1) 0.453 ± 0.004 2) 0.453 ± 0.005 3) 0.4534 ± 0.0048 4) 0.4534 ± 0.0037 5) 0.4534 ± 0.0038For the following data set: 18.3g, 184g 13g 15.0S Determines whether the questionable data is retained or discarded at 95% confidence. Critical Q values a. Reject b. Retain Valores críticos Número de datos 90% 95% 99% 3 0.941 0.970 0.994 0.765 0.829 0.926 0.642 0.710 0.821 5
- 9) The following results were obtained in the determination of Vitamin E mass in tablet samples. Sample 1 2 3 4 5 6 Weight of Vitamin E (mg) 249.1 249.9 251.2 250.2 244.8 251.0 i. Determine whether any data should be rejected or not at 90 % confidence level. ii. Calculate the mean and standard deviation of the data set above. ii. Express the mean weight of vitamin C at 99 % confidence interval.7) The homogeneity of the chloride level in a water sample from a lake was tested by an analyst. Below are the concentration in parts per million (ppm) of Cl: 27.32, 27.22, 27.21, 27.24, 27.20 i. Determine the mean and median. ii. Calculate the confidence limit at 90%. iii. Identify a possible outlier and use the Q-test to determine whether it can be retained or rejected at 90% confidence levelIn 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…
- 7. A piper delivers 10.4 mL , 10.2 mL, 10.8 mL , and 10,6 mL consecutive trials . Find the mean volume and average deviation from the mean.2. As the director of a research laboratory you are paid to decide if there is a significant difference between the mean values of two sets of data obtained by two different scientists, a senior scientist and one recently hired. Use 95% CL. (t at df = 10 is 2.23) Data of Senior Scientist: xmoan = 24.66% with s = 0.06% for n = 5 Data of the New Kid: xmean = 24.55% with s = 0.10% for n = 7Based on the given data, what is the λmax of cobalt? 0.1M Cobalt 300 0.451 325 0.467 350 0.584 375 0.629 400 0.694 425 0.673 450 0.541 475 0.433 500 0.423 525 0.327 550 0.264 575 0.245 600 0.233 625 0.211 650 0.189 675 0.187 700 0.165
- Student Discipline Problems The data for a random sample of 32 months for the number of discipline problems that occurred each month at a large high school are shown. Find the 99% confidence interval for the mean when σ 3. Round your answers to one decimal place. = 13 19 10 11 14 25 16 27 22 29 23 29 28 17 17 22 28 26 29 20 22 18 14 215 16 27 17 14 17 110 11 20 19 22 Send data to Excel We are 99% confident that the mean is between 15.1 and 17.8 discipline problems per month.10) The following results were obtained in an analysis of iron content in an ore sample. The results reported as % Fe for each analysis, were as follow: Samples no. 1 3 4 5 6 % Fe 20.10 20.50 18.65 19.25 19.40 19.99 i. Calculate the mean and median from the set of the data above ii. If the true value of %Fe is 19.65 %, calculate the value for absolute error and percentage relative error for sample no. 3 Using Q-test, justify whether an of the data must be rejected at 95 % ii. confidence level iv. Calculate the standard deviation and relative standard deviation of the data.The following molarities were calculated from replicate standardization of a solution: 0.5025, 0.5012, 0.5012, 0.5028, 0.5023, 0.5015, and 0.5039 M. Assuming no determinate errors, what is the upper limit of the 95% confidence interval?