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[answered] 1) An auditor for a hardware store chain wished to compare


1) An auditor for a hardware store chain wished to compare the efficiency of two different auditing techniques. To do this he selected a sample of nine store accounts and applied auditing techniques A and B to each of the nine accounts selected. The number of errors found in each of techniques A and B is listed in the table below:

Errors in A ?Errors in B
25 ? ? ? ? ? ? ? ? ? ?11
28 ? ? ? ? ? ? ? ? ? ?17
26 ? ? ? ? ? ? ? ? ? ?19
28 ? ? ? ? ? ? ? ? ? ?17
32 ? ? ? ? ? ? ? ? ? 34
30 ? ? ? ? ? ? ? ? ? 25
29 ? ? ? ? ? ? ? ? ? 29
20 ? ? ? ? ? ? ? ? ? 21
25 ? ? ? ? ? ? ? ? ? 30

Does the data provide sufficient evidence to conclude that the number of errors in auditing technique A is greater than the number of errors in auditing technique B at the 0.1 level of significance? Select the [Alternative Hypothesis, Value of the Test Statistic]. (Hint: the samples are dependent)
a) [A > B, 1.976]
b) [?D > 0, 1.976]
c) [?D = 0, 1.976]
d) [?D ? 0, 1.976]
e) [?D > ?1, 1.976]
f) None of the above


2)An auditor for a hardware store chain wished to compare the efficiency of two different auditing techniques. To do this he selected a sample of nine store accounts and applied auditing techniques A and B to each of the nine accounts selected. The number of errors found in each of techniques A and B is listed in the table below:


Errors in A ?Errors in B

27 ? ? ? ? ? ? ? ? ? 13

30 ? ? ? ? ? ? ? ? ? 19

28 ? ? ? ? ? ? ? ? ? 21

30 ? ? ? ? ? ? ? ? ?19

34 ? ? ? ? ? ? ? ? ?36

32 ? ? ? ? ? ? ? ? ?27

31 ? ? ? ? ? ? ? ? ? 31

22 ? ? ? ? ? ? ? ? ?23

27 ? ? ? ? ? ? ? ? ?32


Does the data provide sufficient evidence to conclude that the number of errors in auditing technique A is different from the number of errors in auditing technique B at the 0.05 level of significance? Select the [Rejection Region, Decision of Reject (RH0) or Failure to Reject (FRH0)]. (Hint: the samples are dependent)

a) [-t b) [t c) [z d) [t > 2.31, RH0]

 


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