Principles of Instrumental Analysis
Principles of Instrumental Analysis
7th Edition
ISBN: 9781305577213
Author: Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher: Cengage Learning
Question
Chapter A1, Problem A1.10QAP
Interpretation Introduction

(a)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

y=(5.75)(±0.03)+(0.833)(±0.001)(8.021)(±0.001)

=-1.4381

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

Interpretation Introduction

(b)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

y=(18.97)(±0.04)+(0.0025)(±0.0001)+(2.29)(±0.08)

=21.2625

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

Interpretation Introduction

(c)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

y=(66.2)(±0.03)×[(1.13)(±0.02)×1017]=7.4806×1016

.

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

Interpretation Introduction

(d)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

y=(251)(±1)×[(860)×(±2)][1.673×(±0.006)]=129050.70

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

Interpretation Introduction

(e)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

y=(157)(±6)1,220(±1)+[(59)×(±3)][77×(±8)]=7.5559×102

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

Interpretation Introduction

(f)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

y=(1.97)±(0.01)243±3=8.106996×103

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

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A volumetric calcium analysis on samples of the blood serum of a patient believed to be suffering from a hyperparathyroid condition produced the following data:  mmol Ca/L =  3.10, 3.08, 3.28, 3.15, 3.26, 3.12, 3.14, 3.18, 3.25, 3.11, 2.95. Calculate: Mean Standard deviation Coefficient of variation What is the 95% confidence interval for the mean of the data, assuming no prior information about the precision of the analysis? Apply the Q test to the following data sets to determine whether the outlying result should be retained or rejected at the 95% confidence level. ( work on the first measurements according to your case)
Estimate the absolute deviation(or uncertainty) for the results of the following calculations. Round each result so that it contains only significant digits. The numbers in parentheses are absolute standard deviations. Finally, write the answer and its uncertainty.a.) Y= 6.75 (± 0.03) + 0.843(±0.001) - 5.021 (±0.001) = 2.572b.) Y= 19.97(± 0.04) + 0.0030(±0.0001) + 4.29(±0.08) = 24.263c.) Y= 143(± 6) - 64(±3) = 5.9578 x10-21249 (±1) +77 (±8)
Estimate the absolute standard deviation (or uncertainty) for the results of the following calculations. Round each result so that it contains only  significant digits. The numbers in parentheses are absolute standard deviations. Show  your solution and express the final answer and its  corresponding uncertainty. a)  y= 2.998(±0.002)   - 3.98 (±0.15) + 9.035 (±0.002) = 8.0531 b)  y= 39.2(±0.3) x 3.054 (±0.022) x 10^ -2 = 1.197   c)   y= [198(±6)   - 89 (±3)] / 1335 (±2) + 64 (±7)]  = 7.791 x 10^-2
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