Scenario 11-4 A computer used by a 24-hour banking service is supposed to random
ID: 3180041 • Letter: S
Question
Scenario 11-4
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.
The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.
Q1: Referring to Scenario 11-4, the degrees of freedom of the test statistic is
A) 10
B) 8
C) 448
D) 4
Q2: Referring to Scenario 11-4, the calculated value of the test statistic is
A) -0.1777
B) 1.4999
C) -0.0185
D) 1.5190
Q3: Referring to Scenario 11-4, at 1% level of significance
A) there is sufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same
B) there is insufficient evidence to conclude that the proportions of errors in transactions assigned to each of the 5 memory locations are all different
C) there is sufficient evidence to conclude that the proportions of errors in transactions assigned to each of the 5 memory locations are all different
D) there is insufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same
Explanation / Answer
Solution:
Q1: Referring to Scenario 11-4, the degrees of freedom of the test statistic is
D) 4
Q2: Referring to Scenario 11-4, the calculated value of the test statistic is
B) 1.4999
Q3: Referring to Scenario 11-4, at 1% level of significance
D) there is insufficient evidence to conclude that the proportion of errors in transactions assigned to each of the 5 memory locations are not all the same.
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