Replicate water samples are analyzed for water hardness with the following results: 102.2, 102.8, 103.1, and 102.3 ppm Caco, Calculate the following: a. Mean b. Standard Deviation c. Relative standard deviation (ppt)
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- A titrimetric method for the determination of calcium in limestone was tested by analysis of an NIST limestone containing 30.15% CaO. The mean result of four analyses was 30.26% CaO, with a standard deviation of 0.085%. By pooling data from several analyses, it was established that s = 0.094% CaO.a. Do the data indicate the presence of a systematic error at the 95% confidence level?b. Do the data indicate the presence of systematic error at the 95% confidence level if no pooled value for s was available?8) Two different analytical methods are compared for determining Ca. The following are two sets of data. Set 1 Set 2 155.779 155.784 155.787 155.787 155.813 155.765 155.781 155.793 i. i. Determine the mean and the standard deviation in Set 1. Calculate the 95% confidence limit for data in Set 1. Identify a possible outlier in Set 2. Use the Q-test to determine whether it can be retained or rejected at 95% confidence level. ii.4. Calculate the average and the standard deviation for the following data: Volume Water at 20°C, mL 27.25 27.15 26.87 26.65 27.55 5. How many grams of NaCl will you weigh out on the balance to prepare 100 mL of a 150 mM NaCl (MW = 58.5 g/mol) solution? 33
- 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 level1. Replicate analyses of the lead content in a blood sample gave the following results: 0.789, 0.781, 0.795, 0.792, and 0.784 ppm Pb. Calculate the mean, standard deviation, variance, relative standard deviation, and standard deviation of the mean of the data.For the data set, calculate the mean, standard deviation, and variance. mean: \table[[Sample, Value ],[1,4.028], [2,4.011], [3, 4.013], [4, 4.029], [5, 4.017], [6, 4.012]] standard deviation: variance: Ⓒ Macmillan Learning mean: For the data set, calculate the mean, standard deviation, and variance. standard deviation: 3 variance: C Sample 1 2 3 4 5 6 Value 4.028 4.011 4.013 4.029 4.017 4.012
- 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.An analysis of city drinking water for total hardness was done by two students in the laboratory and produced the following results (in ppm CaCO3): Student A: 228.3, 226.4, 226.9, 227.1, and 228.6. Student B: 229.5, 226.1, 230.7, 223.8, and 227.5 1] Calculate the following for each data set: a) mean b) median c) standard deviation d) coefficient of variation e) the 95% confidence interval for the mean8. Assuming that an experiment's results are 10.1, 10.4, and 10.6, find the mean, the average deviation from the mean, the standard deviation from the mean, and the relative deviation from the mean. AYAW
- [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? samplesWhich of the statements below are TRUE regarding the mean and standard deviation? I. As the number of measurements increases, x̄ approaches μ if there is no random error.II. The square of the standard deviation is the average deviation.III. The mean is the center of the Gaussian distribution.IV. The standard deviation measures the width of the Gaussian distribution.20 To determine the organic material in a dried lake bed, the percent carbon by mass is measured at two different locations. To compare the means of the two different locations, it must first be determined whether the standard deviations of the two locations are different. For each location, calculate the standard deviation and report it with two significant figures. location 1 standard deviation: location 2 standard deviation: What is the calculated F value for comparing the standard deviations? Fcale = no Sample 1 2 3 4 5 Are the standard deviations for the two locations significantly different at the 95% confidence level? O yes Location 1 (% Location 2 (%) C) C) 10.40 10.10 10.30 10.90 10.30 10.30 10.40 10.80 10.20 10.40