SCENARIO 12-4
a Computer Used by a 24-Hour Banking Service

question 34

Multiple Choice

SCENARIO 12-4
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations.A check at the end of a day's transactions gave the counts shown in the table to each of the 5 memory locations, along with the number of reported errors.
$\begin{array} { |l |l |l |l |l |l | } \hline \quad\quad\quad&\quad&\quad&\quad&\quad&\quad\\\hline \quad\quad\quad&\quad&\quad&\quad&\quad&\quad\\\hline \quad\quad\quad&\quad&\quad&\quad&\quad&\quad\\\hline \end{array}$
$$\begin{array} { | l | l | l | l | l | l | } \hline \text { MemorvLocation: } & 1 & 2 & 3 & 4 & 5 \\\hline \text { Number of Transactions: } & 82 & 100 & 74 & 92 & 102 \\\hline \text { Number of Reported Errors } & 11 & 12 & 6 & 9 & 10 \\\hline\end{array}$$ The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.
-Referring to Scenario 12-4, which test would be used to properly analyze the data in this experiment?

• A) \(x ^ { 2 }\) test of independence
• B) \(x ^ { 2 }\) test for difference among more than two proportions
• C)Wilcoxon rank sum test
• D)Kruskal-Wallis rank Test

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Definitions:

Bell Shaped Distribution

A probability distribution that is symmetrical and tapers towards the tails, resembling a bell; commonly known as the normal distribution.

Price-Earnings Ratios

A metric used to value a company by comparing its current share price to its per-share earnings.

Bell Shaped Distribution

A type of distribution, commonly known as a normal distribution, characterized by its symmetrical, bell-shaped curve where most occurrences take place around the mean.

Standard Deviation

A measure of the dispersion or spread of a set of values, showing how much variation there is from the average (mean).