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February 1, 2015

February 1, 2015

Posted by **WMD** on Sunday, October 24, 2010 at 2:24am.

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.

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 12-3, the degrees of freedom of the test statistic is

A) 4

B) 8

C) 10

D) 448

(b) Referring to Table 12-3, 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 12-3, the calculated value of the test statistic is

A) -0.1777

B) -0.0185

C) 1.4999

D) 1.5190

(d) Referring to Table 12-3, 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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