Chapter 32, Problem 32.6QAP

Interpretation Introduction

(a)

Interpretation:

The absolute and the relative uncertainty is to be determined for the measurement involving 600 count at 90% confidence level.

Concept introduction:

The standard deviation can be calculated as follows:

${\sigma }_M=\sqrt{M}$

Also, the relative standard deviation can be calculated as follows:

${\sigma }_R=\frac{{\sigma }_M}{M}$

${\sigma }_R=\frac{\sqrt{M}}{M}$

The absolute uncertainty = $z{\sigma }_M$

The relative uncertainty = $z{\sigma }_R$

The formula for the confidence of counting intervals is −

$R=R\pm z{\sigma }_R$

Interpretation Introduction

(b)

Interpretation:

The absolute and the relative uncertainty is to be determined for the measurement involving 600 count at 95% confidence level.

Concept introduction:

The standard deviation can be calculated as follows:

${\sigma }_M=\sqrt{M}$

Also, the relative standard deviation can be calculated as follows:

${\sigma }_R=\frac{{\sigma }_M}{M}$

${\sigma }_R=\frac{\sqrt{M}}{M}$

The absolute uncertainty = $z{\sigma }_M$

The relative uncertainty = $z{\sigma }_R$

The formula for the confidence of counting intervals is −

$R=R\pm z{\sigma }_R$

Interpretation Introduction

(c)

Interpretation:

The absolute and the relative uncertainty is to be determined for the measurement involving 600 count at 99% confidence level.

Concept introduction:

The standard deviation can be calculated as follows:

${\sigma }_M=\sqrt{M}$

Also, the relative standard deviation can be calculated as follows:

${\sigma }_R=\frac{{\sigma }_M}{M}$

${\sigma }_R=\frac{\sqrt{M}}{M}$

The absolute uncertainty = $z{\sigma }_M$

The relative uncertainty = $z{\sigma }_R$

The formula for the confidence of counting intervals is −

$R=R\pm z{\sigma }_R$