The following facts relative to a variables sampling plan are presented in random order: 1. Combined reliability

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The following facts relative to a variables sampling plan are presented in random order:

1. Combined reliability is 95 percent.

2. Materiality is \(\$ 80,000\).

3. Audited value of sample items is \(\$ 371,250\).

4. The preliminary estimated population standard deviation is \(\$ 200\).

5. Effectiveness of internal control and other audit procedures are judged to be 80 percent and 10 percent, respectively.

6. Population of accounts receivable is 4,000 .

7. Book value of accounts receivable is \(\$ 2.65\) million.

8. Objective is to determine whether book value is fairly stated.

9. Alpha risk is 5 percent.

10. Planned precision is \(\$ 61,540\) (rounded).

11. Sample size is 558 (rounded).

12. The estimated population standard deviation determined from the sample is \(\$ 210\).

Required:

a. Reperform the steps up to and including the calculation of sample size.

b. What \(\beta\) risk is implicit in the sample design?

c. Compute achieved precision. Is this consistent with the planned \(\beta\) risk? If not, compute adjusted precision.

d. Is book value fairly stated?

e. Assume that instead of being \(\$ 2.65\) million, the book value of accounts receivable is \(\$ 2.75\) million. Would your conclusion differ from your answer to \(d\) above? What course of action would you take?

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Modern Auditing

ISBN: 9780471542834

5th Edition

Authors: Walter Gerry Kell, William C. Boynton, Richard E. Ziegler

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