The Auditors Are Using Mean-Per-Unit Sampling to Evaluate the Reasonableness

question 48

Essay

The auditors are using mean-per-unit sampling to evaluate the reasonableness of the book value of the accounts receivable of Smith, Inc. Smith has 10,000 receivable accounts with a total book value of $800,000. The auditors estimate the population's standard deviation as being equal to $25. After examining the overall audit plan, the auditors believe that the account's tolerable misstatement is $40,000, and that a risk of incorrect rejection of .10 (risk coefficient = 1.64) and a risk of incorrect acceptance of .15 (risk coefficient = 1.04) should be used.
Required:
a. Calculate the required sample size.
Now ignore your sample size calculation in part "a," and assume that your answer was a sample size of 289 (the square root of 289 is 17) and that you obtained the following results:
Average audited value of items in sample: $76
Average book value of items in sample: $78
Standard Deviation in the sample (audited values): $24
Standard Deviation in the sample (book values): $26
b. Using mean-per-unit sampling, calculate the projected misstatement for the population.
c. Using mean-per-unit sampling, calculate the adjusted allowance for sampling risk and use it to form a statistical conclusion concerning the book value of the population ($800,000). That is, calculate an interval and either "accept" or "reject" the client's book value.

Identify the various types of factory overhead expenses.

Recognize the significance of cost allocation in managerial accounting.

Understand the application of job cost sheets in tracking production costs.

Identify non-product costs and understand their financial implications.

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Definitions:

Installments

Regular payments made over a period of time to pay off a debt.

Stock Subscription Plan

A financing agreement allowing investors to subscribe to a new issue of stocks, often with payment and delivery at a later date.

Par Value

Par value is the nominal or face value of a bond, share of stock, or other financial instruments, as stated by the issuing company.

Installments

Payments made regularly over a set period of time to settle a debt or purchase, allowing the total cost to be spread out for ease of payment.