Two methods were applied to measure and test the standard reference materials of chromium. Quantity Method 1 Method 2 Mean Value (ppm) Standard deviation (ppm) Number of measurements 0.082005 0.000129 0.0826052 0.0000134 5 Are the standard deviations significantly different? Are the mean significantly different at the 95% confidence level?
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- 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.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.A titrimetric method for the determination of calcium in limestone was tested with the analysis of a NIST limestone containing 30.15% CaO. The mean of the four analyzes is 30.26% CaO with a standard deviation of 0.085%. From the data accumulated from many analyzes, s→ϭ=0.094% CaO was found.a) Do the data indicate the presence of systematic error at the 95% confidence level?b) When a value for ϭ is unknown, do the data show a systematic error at the 95% confidence level?
- 5. The color change of a chemical indicator requires an overtitration of 0.03 mL. Calculate the percent relative error if the total volume of titrant is a. 50.00 mL b. 10.00 mL 6. From the Gaussian (normal) error curve, what is the probability that a result from a population lies between 0 and +1 σ of the mean? What is the probability of a result occurring that is between +1 σ and +2σ of the mean?9. The following are three sets of data for the atomic mass on antimony (Sb) from the work of Willard and McAlpine. Set 1 Set 2 Set 3 121.771 121.784 121.752 121.787 121.758 121.784 121.803 121.765 121.765 121.781 121.794 a) Determine the mean and standard deviation of each data set. b) Determine the 95% confidence intervals for each data set. c) Determine whether the 121.803 value in Set 1 is an outlier for that set. d) Pool the data and determine the overall mean and the pooled standard deviation. e) Compare the overall mean of the 11 data points with the currently accepted value. Report the absolute error and the percent relative error, assuming the currently accepted value is the true value.Measurements of boiling temperatures of samples of a liquid (°C) are given below: 78.4 79.0 78.8 79.2 78.6 Calculate the meanCalculate the modeCalculate the standard deviation
- Which 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.1. Differentiate the following terms. Accuracy Precision 2. What are the advantages of using the analytical balance in analytic chemistry? Enumerate at least two then explain each. 3. What are the factors affecting the discrepancies in accuracy and precision? Enumerate at least four then explain each.An analysis of a sample containing mercury was performedusing a standard procedure and a new procedure. The samplewas analyzed 6 times by the new procedure and 8 times by thestandard procedure resulting in standard deviations of 0.355 and0.524 for the new and standard procedures, respectively. If thepooled standard deviation for the data was 0.66 and thetabulated F value at the 95% confidence level was 4.88, Thefollowing statement(s) are true:Select one or more:A. The calculated F value is 2.179B. We are confident that there is no significant statisticalC. difference between the results of the two methodsD. There is no significant statistical difference between theprecision of the two methodsThe calculated F value is 3.216
- Calculate the standard deviation for an element whose % in a sample were found to be20.8, 21.6, 22.1, 22.0, 23.3, 21.9 and 22.8%The spectroscopic data in the table is generated with five solutions of known concentration. Concentration (M) 0.0133 m= 0.0266 0.0532 0.106 0.213 Absorbance 0.1271 What is the intercept of the linear regression line? 0.08531 0.5388 1.069 Use a spreadsheet program, such as Microsoft Excel, to graph the data points and determine the equation of the best-fit line. 1.954 What is the slope of the linear regression line formed by these points? M-1You conducted 3 gravimetric determination trials. The average values are: 3.45g, 3.55g, and 3.35g. What is the standard deviation from the mean of your values? O.01g O 0.10g O .20g 0.05g