FE Industrial and Systems Quality Practice Problems

The current FE Industrial and Systems specification assigns 9-14 of the 110 exam questions to Quality. Form A contains 10 original problems in this area. The sample below is published in full, with the same worked-solution format used throughout the book.

Free sample problem

A process mean is 50, target is 50, and specification limits are 44 and 56. With sigma=1.5, Cpk is most nearly:

(A)0.667
(B)1
(C)1.33
(D)2

Show worked solution

Answer: (C)

Centered process capability is 1.33.

The process statistic is compared with its control or specification basis.

C_{p k} = min [(U S L - μ) / (3 σ), (μ - L S L) / (3 σ)]

Substitution and unit reduction give the reported value.

C_{p k} = 6/4.5 = 1.33

FE Reference Handbook — Quality: Process Capability

Why the other choices appear

(A)This introduces an extra factor of 0.5 that is not present in the governing relation.
(B)This value is 25% below the verified result; no stated conversion creates that change.
(D)The units are retained, but an unsupported 1.5 multiplier changes the requested magnitude.

The complete FE Industrial and Systems practice exam contains 10 problems in this area and 110 problems overall, with an answer key, full solutions, and a score sheet by knowledge area.

Free FE Industrial and Systems problems in the other knowledge areas

Mathematics · Engineering Sciences · Ethics and Professional Practice · Engineering Economics · Probability and Statistics · Modeling and Quantitative Analysis · Engineering Management · Manufacturing, Service, and Other Production Systems · Facilities and Supply Chain · Human Factors, Ergonomics, and Safety · Work Design · Systems Engineering, Analysis, and Design

Retaking this exam? The FE exam retake guide turns the NCEES diagnostic report into an area-by-area plan.