What is the allowable sample size for inventory line items numbered between 1 and 150?

The selection of a sample size of 20 with 0 errors allowed is grounded in statistical principles that emphasize accuracy and reliability in inventory management, particularly in a regulatory context like that of the Coast Guard. A sample size of 20 provides a robust amount of data to ensure a representative selection of the inventory line items, which helps in drawing valid conclusions about the overall inventory's accuracy.

Having a zero-tolerance policy for errors in this sample size is critical, especially in environments where precision in inventory tracking is essential for operational effectiveness. This requirement ensures that any discrepancies are taken seriously, thereby reinforcing the importance of accuracy in inventory management processes. A zero error allowance also motivates personnel to conduct meticulous checks and balances during the inventory process, which is vital for maintaining integrity in inventory records.

In contrast, larger sample sizes with allowable errors might indicate a less stringent approach to accuracy, which may not be appropriate in high-stakes environments like the Coast Guard, where secure and accurate asset management is crucial. The approach found in the correct option aligns with best practices for ensuring accountability and operational readiness within the organization.