Instruction 15-5
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of five memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the five memory locations, along with the number of reported errors.
$$\begin{array} { | l | l | l | l | l | l | }
\hline \text { Memory Location } & 1 & 2 & 3 & 4 & 5 \
\hline \text { Number of Transactions } & 82 & 100 & 74 & 92 & 102 \
\hline \text { Number of Reported Errors } & 11 & 12 & 6 & 9 & 10 \
\hline
\end{array}$$ The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the five memory locations differ.
-Referring to Instruction 15-5,the critical value of the test statistic at 1% level of significance is
A) 20.0902.
B) 23.2093.
C) 13.2767.
D) 7.7794.

Question

Instruction 15-5
A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of five memory locations. A check at the end of a day's transactions gave the counts shown in the table to each of the five memory locations, along with the number of reported errors.
 $$\begin{array} { | l | l | l | l | l | l | } 
\hline \text { Memory Location } & 1 & 2 & 3 & 4 & 5 \
\hline \text { Number of Transactions } & 82 & 100 & 74 & 92 & 102 \
\hline \text { Number of Reported Errors } & 11 & 12 & 6 & 9 & 10 \
\hline
\end{array}$$ The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the five memory locations differ.
-Referring to Instruction 15-5,the critical value of the test statistic at 1% level of significance is
A) 20.0902.
B) 23.2093.
C) 13.2767.
D) 7.7794.

Quizplus · Accepted Answer

The test in question is a chi-square test for independence, aiming to determine if there's a significant difference in the proportion of errors across the five memory locations. At a 1% significance level and with degrees of freedom calculated as (number of rows - 1) * (number of columns - 1) = (2-1) * (5-1) = 4, the critical value from the chi-square distribution table is 13.2767.

Instruction 15-5 a Computer Used by a 24-Hour Banking Service

Instruction 15-5
a Computer Used by a 24-Hour Banking Service