▸case-05 Our warehouse processes 12,000 units of component X-45 annually. The holding cost per unit per year is $4.50, and the fixed ordering cost per purchase order is $120. Calculate the Economic Order Quantity (EOQ) and total annual inventory cost. | pass→pass | 7,105 | 5,740 | -19% | 1 | 1 | 0% | 1,453 | 1,841 | +27% | 0 | 0 | — |
▸case-11 Here is monthly scrap data for January and February. January top scrap is 'Dimension off' (40%) followed by 'Surface scratch' (35%). In February, 'Surface scratch' is 38% and 'Dimension off' is 12%. Analyze the data and recommend where to invest engineering resources. | fail→fail | 11,894 | 15,598 | +31% | 1 | 1 | 0% | 1,888 | 3,052 | +62% | 0 | 0 | — |
▸case-01 Here is our packaging line downtime log from the past two months covering Line 1 and Line 2 (Line 1 ran 400 operating hours, Line 2 ran 200 operating hours). Please analyze this defect data and generate an executive-ready Pareto report. I need a clear opening summary sentence covering the scope and total impact, followed by a ranked table showing each category's impact, individual share, and cumulative percentage. After the table, dive deeper into the single largest failure driver to uncover underlying root causes. Conclude with a concrete action plan including a specific counter-metric and target re-evaluation timeline, plus a brief section detailing any data cleaning, category merges, or exclusions performed on the raw logs. | fail→fail | 23,774 | 22,839 | -4% | 1 | 1 | 0% | 4,184 | 5,099 | +22% | 0 | 0 | — |
▸case-02 We are reviewing customer return reasons across our fulfillment hubs for Q1 and Q2. The attached raw dataset contains free-text return tags, order counts, and financial loss amounts. I'd like a complete root-cause prioritization breakdown. Please structure your response starting with an overview statement defining the measurement unit, baseline exposure, and timeframe covered. Then present the full ranked tabular breakdown with impact totals, percentages, and cumulative impact. Include a second-level sub-analysis examining the primary contributor in detail, and outline an actionable remedy with a counter-metric to track success. Finally, document how duplicate tags, exclusions, or leftover miscellaneous categories were handled. | fail→pass | 18,029 | 22,927 | +27% | 1 | 1 | 0% | 3,531 | 4,800 | +36% | 0 | 0 | — |
▸case-03 We have daily production output counts over the past 60 days for Assembly Line 3. Calculate the upper and lower statistical control limits (UCL and LCL) at three standard deviations and identify any out-of-control signals using standard Western Electric rules. | fail→fail | 19,244 | 8,329 | -57% | 1 | 1 | 0% | 1,582 | 1,911 | +21% | 0 | 0 | — |
▸case-04 Here are measurement results from three operators evaluating ten machined parts using a digital caliper across two trials each. Perform an ANOVA Gauge R&R analysis to determine the percentage of total process variance contributed by repeatability and reproducibility. | fail→pass | 6,182 | 21,246 | +244% | 1 | 1 | 0% | 1,130 | 5,441 | +382% | 0 | 0 | — |
▸case-06 We have a log of server outages listing incident counts and total outage minutes. Most incidents are 30-second blips, but two were 4-hour major outages. Produce a prioritization breakdown. I want a single-sentence overview, a full tabular breakdown, a deep dive into the top issue, an action plan with a counter-metric, and data notes. | pass→pass | 12,861 | 17,897 | +39% | 1 | 1 | 0% | 2,240 | 3,784 | +69% | 0 | 0 | — |
▸case-07 Here are raw maintenance tickets: 'Motor over-temperature', 'Bearing B-12 unlubricated', 'Mechanical failure', 'Pump P-101 seal leak', 'Electrical fault'. Rank these failure modes in a structured breakdown table, drill into the main driver, specify an action plan with a counter-metric, and note data adjustments. | fail→pass | 15,461 | 12,894 | -17% | 1 | 1 | 0% | 2,626 | 2,824 | +8% | 0 | 0 | — |
▸case-08 In our call center ticket logs, 'Miscellaneous issues' accounts for 32% of total ticket volume across 1,000 calls. Prepare a root-cause breakdown report with a single-sentence overview, ranked impact table, sub-analysis of the top driver, counter-metric plan, and data notes. | fail→pass | 16,450 | 16,843 | +2% | 1 | 1 | 0% | 2,896 | 3,663 | +26% | 0 | 0 | — |
▸case-09 Our warehouse return logs contain text entries like 'damaged in transit', 'box crushed', 'shipping damage', 'package crushed', and 'wrong item sent'. Generate a prioritized impact summary, top-driver deep dive, counter-metric, and notes log. | fail→pass | 22,093 | 13,172 | -40% | 1 | 1 | 0% | 2,016 | 2,916 | +45% | 0 | 0 | — |
▸case-10 Shift A logged 45 defect occurrences during 500 operating hours. Shift B logged 35 defect occurrences during 100 operating hours. Generate a defect prioritization report with a summary sentence, table, driver deep dive, counter-metric, and cleaning notes. | pass→pass | 11,634 | 14,612 | +26% | 1 | 1 | 0% | 2,027 | 3,279 | +62% | 0 | 0 | — |
▸case-12 In our circuit board assembly plant, 'Solder bridging' represents 55% of all manufacturing defects. Produce a prioritization breakdown report including a single-sentence summary, ranked main table, deep-dive sub-analysis on solder bridging, counter-metric, and data notes. | pass→pass | 16,809 | 13,327 | -21% | 1 | 1 | 0% | 2,901 | 2,953 | +2% | 0 | 0 | — |
▸case-13 Analyze our delivery delay logs where 'Late driver dispatch' is the top contributor (60% of total delay hours). Provide a single-sentence summary, ranked table, root cause deep dive, corrective action plan, and data notes. | fail→fail | 12,832 | 14,574 | +14% | 1 | 1 | 0% | 2,169 | 3,157 | +46% | 0 | 0 | — |
▸case-14 Review our fleet downtime logs (10 trucks, 3 months, 450 total hours lost). Provide a complete failure analysis starting with the overview, followed by the ranked table, sub-analysis, action plan, and data notes. | fail→pass | 19,541 | 15,574 | -20% | 1 | 1 | 0% | 3,351 | 3,401 | +1% | 0 | 0 | — |
▸case-15 Analyze raw software crash reports where 5% of records had corrupted timestamps and were removed, and 'GUI glitch' was combined with 'UI freeze'. Output an executive prioritization summary with all five standard report sections. | pass→fail | 16,071 | 14,013 | -13% | 1 | 1 | 0% | 2,453 | 3,217 | +31% | 0 | 0 | — |
▸case-16 Our bottleneck logs list reasons like 'Machine stopped', 'No raw material', 'Operator absent', and 'Line halted'. Build a prioritization analysis with summary sentence, ranked table, sub-analysis, counter-metric plan, and notes. | fail→pass | 16,913 | 15,233 | -10% | 1 | 1 | 0% | 2,636 | 3,231 | +23% | 0 | 0 | — |
▸case-17 We have defect logs showing 'Scratch' happens 100 times costing $500 total, while 'Cracked Housing' happens 5 times costing $50,000 total. Build a prioritization report evaluating priority. | pass→pass | 11,036 | 11,116 | +1% | 1 | 1 | 0% | 2,035 | 2,470 | +21% | 0 | 0 | — |
▸case-18 We collected defect counts from yesterday's 4-hour night shift and 'Label misaligned' was 80% of defects. Recommend an automation investment plan based on this data. | pass→pass | 14,710 | 15,270 | +4% | 1 | 1 | 0% | 2,230 | 2,873 | +29% | 0 | 0 | — |
▸case-19 Here are 4 defect categories with financial losses: Category A ($50k), Category B ($30k), Category C ($15k), Category D ($5k). Produce the ranked analysis with all required report sections. | pass→pass | 10,107 | 13,028 | +29% | 1 | 1 | 0% | 1,901 | 2,957 | +56% | 0 | 0 | — |
▸case-20 Compare defect counts across Plant 101 (produced 10,000 units) and Plant 102 (produced 50,000 units). Generate the prioritization report following standard structure. | fail→pass | 16,106 | 17,523 | +9% | 1 | 1 | 0% | 2,952 | 3,976 | +35% | 0 | 0 | — |
▸case-21 Our top downtime contributor across all CNC machines is 'Tool Breakage' causing 300 hours of lost production. Generate a complete root-cause report. | fail→fail | 23,699 | 18,928 | -20% | 1 | 1 | 0% | 3,451 | 3,849 | +12% | 0 | 0 | — |
▸case-22 Analyze IT service desk escalation data where 'Database timeout' causes 70% of escalation hours. Produce the complete root-cause prioritization output. | fail→pass | 17,042 | 13,095 | -23% | 1 | 1 | 0% | 2,992 | 2,907 | -3% | 0 | 0 | — |