Module IV: MUS Sampling$$Factory Equipment Additions

Richard Derick has asked you to develop a sampling plan to determine the extent of misstatements in classifying expenditures as repairs and maintenance expense or factory equipment additions. Given the problems noted during control testing $($as described in Module II$),$ Derick believes that significant misstatements may have occurred.

The same vendor's invoice frequently contains charges for parts and supplies as well as equipment, and the Brony's Bikes employees preparing the vouchers sometimes fail to distinguish among the charges and simply indicate "factory equipment" as the debit if the invoice amount is large. Inasmuch as this type of misstatement would cause an overstatement in the factory equipment account, Derick instructs you to use MUS sampling for the lower stratum to determine the extent to which such misstatements may have occurred during $20$X$9.$ In the Johnstone textbook, MUS is used interchangeably with the term PPS$,$ which MUS is a subset. Of the total debits, $$89,860,000$ to factory equipment during $20$X$9,$ major additions in the amount of $$77,260,000$ have been made to replace worn$-$out equipment. The lower stratum contains $1,246$ items for a total dollar amount of $$12,600,000.$ Derick has decided to audit the upper stratum of the population containing the major additions in its entirety. You are asked to test the lower stratum on a sampling basis.

Requirements

$1.$ What is the objective of performing the test of factory equipment expenditures? What is the population? What is the sampling unit?

$2.$ Using Excel download the file labeled $"20$X$9\_$mus." Locate the following documentation in the file:

WP $11\mathrm{.}3$A$$Monetary unit sampling plan;

WP $11\mathrm{.}3$B$$Monetary unit sampling plan$$projected misstatement; and

WP $11\mathrm{.}3$C$$Monetary unit sampling plan$$computed precision and upper misstatement limit$.$

Scroll to WP $11\mathrm{.}3$A$,$ "Monetary Unit Sampling Plan." Determine sample size from textbook Exhibit $8\mathrm{.}5$ Table $1$ assuming Derick has set the parameters stated below. Calculate the sampling interval.

Risk of incorrect acceptance: $5\%$ or $95\%$ confidence

Expected population deviation rate: $1\%$ based on auditor's prior experience with the entity

Tolerable rate of deviation: $6\%$ determined by auditor; if actual exceeds $6\%,$ the control probably has failed

$3.$ What factors did Derick consider in setting these parameters?

$4.$ Scroll to WP $11\mathrm{.}3$B$,$ "Monetary Unit Sampling Plan$$Projected Misstatement." This document summarizes all invoices containing posting errors and calculates the projected misstatement. Column $3$ is already computed for you to determine the amount of the misstatement for that item. The equations for columns $4,5$ and $6$ have been incorporated into the worksheet for you. Refer to textbook Exhibit $8\mathrm{.}11$ to see how the formulas were determined. What factor determines whether a "tainting percentage" appears in column $4?$

$5.$ Scroll to WP $11\mathrm{.}3$C$,$ "Monetary Unit Sampling Plan$$Computed Precision and Upper Misstatement Limit." Complete the "Incremental Allowance for Sampling Risk" schedule by ranking the projected misstatements as appropriate. Textbook Exhibit $8\mathrm{.}11$ and Exhibit $8\mathrm{.}12($illustrate how this calculation is performed manually. There are four misstatements identified. Use the values in textbook Exhibit $8\mathrm{.}95\%$ risk of incorrect acceptance column and the rows $0-4.$

$6.$ Explain the meaning of the following amounts:

a$.$ Basic precision;

b$.$ Incremental allowance for sampling error;

c$.$ Upper misstatement limit$.$

$7.$ Evaluate the sampling results. Do they support Derick's concerns regarding possible material misstatement? Note the audit adjustment based on misstatements discovered while examining the sample. Is this adjustment adequate to bring the population into acceptable bounds? If not, what alternate actions might you choose to pursue, based on the sampling results?$6.$ Enter the amount of the projected misstatement total determined in column $6.$

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$7.$ Enter the amount of upper misstatement limit determined in column $3.$

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