Chapter 2.1, Problem 2.1CYU

To determine

To find: $z-score$ of lynette.

Answer to Problem 2.1CYU

  $z-score$ is the $-0.466$ .

Explanation of Solution

Given information:

Dotplot of the class’s height distribution along with summary statistics from computer output.

If $x$ is an observation from a distribution that has known mean and standard deviation, so standardized score for $x$ is,

  $z=\frac{x-mean}{s\tan darddeviation}$

So here, $x=65$

And from the given dot plot $\overline{x}=67$ and standard deviation is $S_x=4.29$ .

  $\begin{array}{l}z=\frac{65-67}{4.29}\\ z=-0.466\end{array}$