Show your solutions. The following three sets are data for the atomic mass of antimony.Using Q-test and Grub’s Test, determine whether the largest value in the first set of data is an outlier for that set at the 95% confidence interval.Pool the data and determine the overall mean and the pooled standard deviation.Compare the overall mean of the 11 data points with the currently accepted value for the atomic mass of antimony (121.760 amu). Report (i) the absolute error and(ii) the percent relative error, assuming the currently accepted value is the true value. Set 1Set 2Set 3121.771121.784121.752121.787121.758121.784121.803121.765121.765121.781121.794

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Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section: Chapter Questions

Problem 15CT

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Show your solutions. The following three sets are data for the atomic mass of antimony.

Using Q-test and Grub’s Test, determine whether the largest value in the first set of data is an outlier for that set at the 95% confidence interval.
Pool the data and determine the overall mean and the pooled standard deviation.
Compare the overall mean of the 11 data points with the currently accepted value for the atomic mass of antimony (121.760 amu). Report (i) the absolute error and
(ii) the percent relative error, assuming the currently accepted value is the true value.

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

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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