PE Industrial study plan

Solve unit-conversion, dimensional-analysis, and material- and energy-balance problems until 20 consecutive items are correct

Compute mean, median, mode, range, variance, and standard deviation by hand and in a spreadsheet for three raw data sets

Match the normal, binomial, Poisson, and exponential distributions to 15 word problems and justify each selection in writing

Detect outliers with the 1.5×IQR rule and read normal probability plots to judge normality

Construct 90% and 95% confidence intervals for means and proportions across five data sets

Run one-sample, two-sample, and paired t-tests plus a chi-square goodness-of-fit test, reporting test statistic, p-value, and decision

Analyze one-factor and two-factor experiments with ANOVA, reporting sums of squares, F-statistics, and p-values

Formulate linear programming models (decision variables, objective function, constraints) for three word problems and solve them graphically and with a solver

Interpret shadow prices, reduced costs, and binding constraints from solver output

Compute present worth, annual worth, future worth, payback period, and internal rate of return for 10 cash-flow scenarios

Compare mutually exclusive alternatives using net present value, incremental rate-of-return, and benefit-cost ratio, and state which method governs

Build depreciation schedules and replacement analyses, and solve break-even problems with fixed and variable cost splits

Estimate waiting times and utilization with M/M/1 and M/M/s queuing formulas and compare against a simple manual simulation

Solve a transportation model, an assignment model, and a critical-path network with earliest/latest start and slack

Classify and select casting, forming, machining, joining, and additive processes for 15 part descriptions based on material, tolerance, and volume

Calculate cutting speed, feed, depth of cut, material removal rate, and cycle time for turning and milling operations

Build a bill of materials and perform a three-level MRP explosion with lead times, on-hand inventory, and lot-sizing rules

Produce forward and backward CPM schedules and compute slack and the critical path for two project networks

Compare push versus pull and MRP versus kanban logic in a written summary of when each applies

Apply EOQ, EPQ, safety stock, reorder point, and service-level formulas to 12 inventory problems

Evaluate SPT, EDD, and critical-ratio sequencing rules on a job shop and compare average flow time, lateness, and tardiness

Construct and interpret x-bar and R, p, c, and individuals control charts, and separate common from special cause variation

Calculate Cp and Cpk against specification limits and state whether a process is centered and capable

Distinguish Type I and Type II error and compute operating-characteristic and average-run-length values for a sampling plan

Construct from-to charts and load-distance scores to compare at least three layout alternatives for a 10-department facility

Balance an assembly line by computing cycle time, theoretical minimum workstations, and line efficiency for two precedence diagrams

Select materials-handling equipment and size aisles, racking, and storage capacity for a given throughput and unit-load profile

Compute order quantity, safety stock, fill rate, and total landed cost in a multi-echelon distribution example

Classify inventory with ABC analysis and match transportation modes to cost and service requirements

Conduct a time study: compute observed time, performance rating, allowances, normal time, standard time, and required sample size

Apply work sampling and a predetermined motion time system to estimate labor requirements and set a labor standard

Apply the NIOSH lifting equation and a posture-screening checklist to evaluate 5 manual lifting and repetitive tasks

Compute noise time-weighted average, assess ventilation and machine-guarding needs, and identify OSHA recordkeeping and hazard-communication obligations

Prioritize corrective actions using a risk matrix of severity and probability

Complete two full-length timed practice exams and score 75% or better overall with no domain below 60%

Rewrite condensed formula and concept sheets for all 11 domains from memory, then correct them against source notes

Rework every entry in the error log until each item has been solved correctly twice without notes

Rehearse exam-day pacing across two timed 60-question sessions at roughly 1.8 minutes per question