4-1. What is the relation between the standard deviation and the precision of a procedure? What is the relation between standard deviation and accuracy?

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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4-1. What is the relation between the standard deviation and
the precision of a procedure? What is the relation between
standard deviation and accuracy?
4-2. What fraction of observations in an ideal Gaussian
distribution lies within µ ±o? Within µ ± 20? Within ± 30?
μ
4-3. In Table 4-2, one set of measurements was repeated
10 times and the other was repeated 4 times. If both had been
repeated 10 times, would the standard deviations of 0.28 and
0.47 mM be considered "significantly" different from each
other?
69 Ga
4-4. The ratio of the number of atoms of the isotopes
and 71Ga in samples from different sources is listed here:
oru moil (004.0) suns
Sample pr
69 Ga/71 Ga
1
2
3
4
1.526 60
1.529 74
1.525 92
1.527 31
Sample
5
6
7
8
(a) Find the mean value of 69Ga/7¹ Ga.
(b) Find the standard deviation and
deviation.
69 Ga/¹¹ Ga
1.528 94
1.528 04
1.526 85
1.527 93
dgiete bois
relative standard
1.527 93
06014800982 $80.0 3
4-9. Two methods were used to meas
(units of enzyme activity per millig
enzyme. One unit of enzyme activity
of enzyme that catalyzes the formati
product per minute under specified c
Method
1
2
139
148
200
Enzyme activit-
147
159
00 (LG
bu2 6 500 (EHI
Is the mean value of method 1 sign
mean value of method 2 at the 95%
4-10. Students measured the conc
tion by various titrations in whic
used to find the end point.
Mea
concent
(± standa
Indicator
1. Bromothymol blue
0.095 65
2. Methyl red
0.086 86
3. Bromocresol green
0.086 41
Data from D. T. Harvey, J. Chem. E
devi
Transcribed Image Text:Problems 4-1. What is the relation between the standard deviation and the precision of a procedure? What is the relation between standard deviation and accuracy? 4-2. What fraction of observations in an ideal Gaussian distribution lies within µ ±o? Within µ ± 20? Within ± 30? μ 4-3. In Table 4-2, one set of measurements was repeated 10 times and the other was repeated 4 times. If both had been repeated 10 times, would the standard deviations of 0.28 and 0.47 mM be considered "significantly" different from each other? 69 Ga 4-4. The ratio of the number of atoms of the isotopes and 71Ga in samples from different sources is listed here: oru moil (004.0) suns Sample pr 69 Ga/71 Ga 1 2 3 4 1.526 60 1.529 74 1.525 92 1.527 31 Sample 5 6 7 8 (a) Find the mean value of 69Ga/7¹ Ga. (b) Find the standard deviation and deviation. 69 Ga/¹¹ Ga 1.528 94 1.528 04 1.526 85 1.527 93 dgiete bois relative standard 1.527 93 06014800982 $80.0 3 4-9. Two methods were used to meas (units of enzyme activity per millig enzyme. One unit of enzyme activity of enzyme that catalyzes the formati product per minute under specified c Method 1 2 139 148 200 Enzyme activit- 147 159 00 (LG bu2 6 500 (EHI Is the mean value of method 1 sign mean value of method 2 at the 95% 4-10. Students measured the conc tion by various titrations in whic used to find the end point. Mea concent (± standa Indicator 1. Bromothymol blue 0.095 65 2. Methyl red 0.086 86 3. Bromocresol green 0.086 41 Data from D. T. Harvey, J. Chem. E devi
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