Describe how the confidence limit (uncertainty) of a measurement can be assessed and reported. Then write down an equation that describes how the measurement uncertainties of three measurements, p, q, and r, propagate into the uncertainty of x, where , r) and the standard deviations of p,q, and r, are expressed as $,,,, and s. If x=p2, what would the equation be? (15%)

Describe how the confidence limit (uncertainty) of a measurement can be assessed and reported. Then write down an equation that describes how the measurement uncertainties of three measurements, p, q, and r, propagate into the uncertainty of x, where , r) and the standard deviations of p,q, and r, are expressed as $,,,, and s. If x=p2, what would the equation be? (15%)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

An ore sample was analyzed for its Fe content. Student A analyzed the sample a total of six times and her results had a standard deviation of 1.33. The same sample was analyzed five times by Student B and his results had a standard deviation of 3.42. To determine if their standard deviations are similar, they perform an F test. The calculated F value is and the table value of Fis 3 in your book for critical values of F. O 6.61; 7.39 O 6.61; 9.36 O 0.151; 9.36 O 2.57; 7.39 O 6.61; 6.98 Refer to Table 4-
Chemistry QUESTION 2 Estimate the absolute deviation for the following calculation. The numbers in parantheses are absolute standard deviations. 1.49(±0.02) x 10-2-4.97 (±0.06) x 10-³ 27.1(±0.07) y=.
Estimate the absolute deviation and the coefficient of variation for the results of the calculation below. Round off the result so that it contains only the significant digits. The numbers in parentheses are absolute standard deviations.
In a particular trial, a student got a value for R of 0.083. Calculate the percent deviation of this result. Enter a number without the % sign. The percent deviation should be reported as a positive value.
Describe how the confidence limit (uncertainty) of a measurement can be assessed and reported. Then write down an equation that describes how the measurement uncertainties of three measurements, p, q, and r, propagate into the uncertainty of x, where, r) and the standard deviations of p,q, and r, are expressed as $,,,, and s. If x=p2, what would the equation be? (15%)
Perform the calculations and determine the absolute and percent relative uncertainty. Express each answer with the correct number of significant figures. To avoid rounding errors, do not round your answers until the very end of your calculations. [9.8 (+0.3) - 2.31 (+0.01)] 8.5 (+0.6) absolute uncertainty: + percent relative uncertainty: + 8 9.2 (+0.4) × ([5.4 (±0.3) × 10−³] + [5.6 (±0.1) × 10−³]) = absolute uncertainty: ± 0.005 percent relative uncertainty: + % %
For the data set, calculate the mean, standard deviation, nd variance. mean: standard deviation: variance: Sample 1 2 3 4 5 6 Value 8.016 8.022 8.024 8.028 8.029 8.015
3. A chemist used two different methods to measure the number of mg of Fe in five iron(II) sulfate supplement tablets. The results of each are shown below. 64.71mg Method 1: 65.03mg 61.55mg 64.9 mg 65.1 mg Method 2: 65.5 mg 66.1mg Calculate the average amount determined by each method as well as the standard deviation and RSD for each method. 63.07mg 65.4mg 67.15mg Which method gave more precise results? How do you know? Is it possible to know which method is more accurate? Why or why not?
Q5. Two methods were used to measure fluorescence lifetime of a dye. The average result for Method 1 is = 1.382 ns with a standard deviation of s1 = 0.039 and n1= 7. The average result for Method 2 is = 1.346 ns with a standard deviation of s2 = 0.015 and n2= 5. Is there a difference between the two methods at the 95% confidence level using F test?
Which of the statements below are TRUE regarding the mean and standard deviation? I As the number of measurements increases, x approaches u 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. O land I Il and II O , Ill and IV O Ill and IV
You pipette and weigh a 100 ml sample of water & get the following results for 3 trials: 0.1041g, 0.0979g, 0.0998g. calculate average, % error, mean (or average) deviation, standard deviation, and % deviation
Calculate the standard error of regression (SER) for the Lineweaver–Burk slope and the Eadie–Hofstee slope to compare the precision of each. please answer this question Eadie–Hofstee SER: it is not 0.128, 0.028, 0.136, or 0.1362 or 0.013.