Chapter 4, Problem 4.16P

Interpretation Introduction

Interpretation:

Using the paired t test, whether the two methods given in problem 4-15 produce significant results has to be given by solving it in excel.

Concept Introduction:

Comparing Individual differences:

For numerous different samples, when two methods are used to make a single measurement, the paired t test is used. The equations used are:

$\begin{array}{l}{s}_d=\sqrt{\frac{{\displaystyle \sum {(d_i-\overline{d})}^2}}{n-1}}\\ t_{\text{calculated}}=\frac{\left|\overline{d}\right|}{s_d}\sqrt{n}\end{array}$

Where,

$d_i$ is the difference between the methods.

$\overline{d}$ is the mean of the differences

$s_d$ is the standard deviation

$n$ is the number of measurement.

To Give: Whether the two methods given in problem 4-15 produce significant results