Chapter 4, Problem 4.12P

Interpretation Introduction

Interpretation:

The $90\%$ and $99\%$ confidence intervals for the given percentage of additive has to be calculated.

Concept Introduction:

Confidence Intervals:

The confidence interval is given by the equation:

$\begin{array}{l}\text{Confidence interval = }\overline{x}\pm \frac{ts}{\sqrt{n}}\\ =\overline{x}\pm t{u}_x(\text{since standard uncertainty(}{u}_x)=s/\sqrt{n}\text{) }\end{array}$

Where,

$\overline{x}$ is mean

$s$ is standard deviation

$t$ is Student’s t

n is number of measurements

$u_x$ is standard uncertainty

To Calculate: The $90\%$ and $99\%$ confidence intervals for the given percentage of additive