Statistic
posted by WMD on .
TABLE 123
A computer used by a 24hour 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.
Memory Location: 1 2 3 4 5
Number of Transactions: 82 100 74 92 102
Number of Reported Errors 11 12 6 9 10
The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.
(a) Referring to Table 123, the degrees of freedom of the test statistic is
A) 4
B) 8
C) 10
D) 448
(b) Referring to Table 123, the critical value of the test statistic at 1% level of significance is
A) 7.7794
B) 13.2767
C) 20.0902
D) 23.2093
(c) Referring to Table 123, the calculated value of the test statistic is
A) 0.1777
B) 0.0185
C) 1.4999
D) 1.5190
(d) Referring to Table 123, at 1% level of significance:
A) there is sufficient evidence to conclude that the proportions of errors in transactions assigned to each of the 5 memory locations are all different.
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 proportion of errors in transactions assigned to each of the 5 memory locations are not all the same.
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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