Chapter 4, Problem 4.24P

Interpretation Introduction

Interpretation:

Whether the value $216$ can be rejected from the set of given results has to be given.

Concept Introduction:

Grubbs Test for an Outlier:

A datum that is far from other points is known as an outlier. The consideration or rejection of that datum from the entire points is found through Grubbs test.

The Grubbs statistic G, is given as:

${\text{G}}_{\text{calculated}}=\frac{\left|\text{questionable value}-\overline{x}\right|}{s}$

Where,

$\overline{x}$ is the mean of entire data set

$s$ is the standard deviation of entire data set

If ${\text{G}}_{\text{calculated}}>{\text{G}}_{\text{table}}$, then the questionable point should be discarded.

If ${\text{G}}_{\text{calculated}}{\text{< G}}_{\text{table}}$, then the questionable point should be retained.

To Give: Whether the value $216$ can be rejected from the set of given results.