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PMP Practice: Continually survey project deliverable quality

Question 3 of 5 in Plan and Manage Quality of Products/Deliverables

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River Volkov is managing a manufacturing project for Brisket Quantum Group to produce custom warehouse automation components. The quality management plan specifies that the production line must maintain a defect rate below 2.5%. During the third production run, the quality team inspected 800 components and identified 28 defective units. Management wants to know whether the production line is meeting the quality standard and by what margin. What is the actual defect rate for this production run?
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Correct answer: 3.5%

Explanation

The defect rate is calculated by dividing the number of defective units by the total number of units inspected, then multiplying by 100 to express it as a percentage. In this scenario, 28 defective units out of 800 total units equals 0.035, which is 3.5%. This exceeds the quality standard of 2.5%, indicating the production line is not meeting the required quality threshold. The project manager should recommend corrective actions to bring the defect rate back within acceptable limits, such as investigating root causes through quality analysis techniques, adjusting production processes, providing additional training to operators, or reviewing equipment calibration.

**Why not A:** A defect rate of 2.86% would result from dividing 28 by a different denominator or rounding incorrectly. The correct calculation of 28 ÷ 800 yields 0.035, or 3.5%, not 2.86%. Using the wrong formula would misrepresent the quality performance.

**Why not B:** A rate of 28.6% would result from dividing 28 by approximately 98 or making a decimal placement error. This wildly overstates the defect rate and does not follow from dividing 28 defective units by 800 total units inspected.

**Why not D:** A defect rate of 4.0% would result from using an incorrect denominator such as 700 (28 ÷ 700 = 0.04). The scenario clearly states 800 components were inspected, so dividing by the correct total yields 3.5%, not 4.0%.

Key Concept

This question covers Continually survey project deliverable quality under Plan and Manage Quality of Products/Deliverables (Process).

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