In: Statistics and Probability
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 greater than the number
of errors in auditing technique B at the 0.1 level of significance?
Select the [Rejection Region, Decision of Reject (RH0)
or Failure to Reject (FRH0)]. (Hint: the samples are
dependent)
a) [t < -1.4, FRH0]
b) [z < -1.4 and -z < -1.4, FRH0]
c) [-t < 1.4 and t < 1.4, RH0]
d) [t > 1.4, RH0]