The Measurements in the Table at Right Are from Coins

question 28

Essay

The measurements in the table at right are from coins minted in Rome during first three centuries AD. Historians believe that different mints reveal themselves in different trace element profiles in the coins. Atomic Absorption
Spectrometry was used to estimate the \% by weight of gold; these data are presented here.
$\begin{array} { | c | c | } \hline { \begin{array} { c } \text { Roman Mint: } \\\text { Gold Content } \\\text { (\% by weight) }\end{array} } \\\hline 0.22 & 0.38 \\0.24 & 0.38 \\0.20 & 0.43 \\0.24 & 0.36 \\0.21 & 0.32 \\0.23 & 0.42 \\0.18 & 0.47 \\0.15 & 0.50 \\0.17 & 0.28 \\0.17 & \\\hline\end{array}$
(a) Construct a box plot for these data.
(b) Would you say this distribution is skewed or approximately symmetric? Justify your response using appropriate statistical terminology. the coins minted in Rome. Some of the summary statistics
are given in the table on the right.
(a) Describe a procedure that uses some or all o f these
summary statistics to determine whether outliers are

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Definitions:

Contingency Management

A behavioral therapy technique that rewards positive behavior and punishes negative behavior to encourage desired behavioral changes.

Extinction

In behavioral psychology, the process by which a conditioned response decreases in frequency and eventually disappears when the reinforcement is withheld.

Yelling Behavior

Vocal expressions performed at a high volume, often indicative of anger, distress, or attempting to command attention.

Partial Reinforcement Effect

The greater resistance to extinction of an instrumental or operant response following intermittent rather than continuous reinforcement during acquisition.