Compliance Audit Sample Size Calculator for Continuous Variables

ELEMENT ACTION VALUE DEFINITION1 records in population enter 80,000 = total records in period to be audited

2 mean enter 154 = population value of records to be audited on assertion of interest

3 standard deviation enter 25 = typical absolute difference from mean for a randomly selected record

4 confidence level set 1.96 = standard deviations above or below mean = probability that sample represents population = 1.64, 90%; 1.96, 95%; 2.58, 99%

5 error tolerance range set 5% = audited value cannot be greater or lesser than this percentage from reported value of sample without triggering adjustment

6 minimum sample size auto 41 = records to be randomly selected = roundup (unadjusted sample size / small population adjustment factor)

7 numerator auto 49 = confidence level * standard deviation

8 denominator auto 8 = error tolerance range * mean = tolerance transformed to same unit of measurement as standard deviation

9 unadjusted sample size auto 41 = roundup ((numerator / denominator) ^ 2)

10 small population adjustment factor auto 1.001 = 1 + (unadjusted sample size / records in population)

11 reported value of sample enter 160 = mean value on assertion in subset of records to be examined

12 lower bound of acceptable audit value auto 152 = reported value * (1 - tolerance)

13 upper bound of acceptable audit value auto 168 = reported value * (1 + tolerance)

[based on George, M. et al., The Lean Six Sigma Pocket Toolbook, New York: McGraw-Hill, 2005, pp. 85-86]

Compliance Audit Sample Size Calculator for Continuous VariablesThe Lean Six Sigma Pocket Toolbook, New York: McGraw-Hill, 2005, pp. 85-86]