NivaarExam Prep

23-Ind-B1 Reliability and Maintainability

Worked solutions to 6 past sittings (2014–2019), 58 questions. Pick a sitting, or start from a topic below.

Topics across the sittings

Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.

Questions by sitting

December 2019

  1. Question 1: Validity of a Piecewise Probability Function
  2. Question 2: Curriculum Change — Two-Sample Comparison
  3. Question 3: Simulation Model Validation
  4. Question 4: Joint Probability Function — Correlation and Independence
  5. Question 5: Simple Linear Regression — OR I vs. Statistics Marks
  6. Question 6: Sign Test and Independent-Month Binomial Probabilities
  7. Question 7: One-Way ANOVA, Bartlett's Test, and Tukey's HSD
  8. Question 8: Multiple Regression by Matrices — Marathon Performance
  9. Question 9: $2^3$ Factorial Design — Machine Tool Life

December 2018

  1. Question 1: Normal-Distribution Assembly Times
  2. Question 2: Two-Sample $t$-Test for a Process Design Change
  3. Question 3: Comparing Two Shipping Companies — Two-Sample $t$-Test
  4. Question 4: Continuous-Random-Variable PDF — Validity, Mean, Variance
  5. Question 5: Simple Linear Regression — Age vs. BMI
  6. Question 6: Comparing Two Marathon Routes — Variance and Mean Tests
  7. Question 7: Edison Motors — Bartlett's Test, One-Way ANOVA, Tukey's Test
  8. Question 8: Multiple Linear Regression by Matrices
  9. Question 9: $2^2$ Factorial Design — Hospital Patient-Flow Screening Experiment

December 2017

  1. Question 1: Oil-Well Drilling — Binomial, Geometric, Normal Probability, and a Sum of Normals
  2. Question 2: Job Time in System — Sample-Size Design, CI, Anomaly Check, Two-Sample Comparison
  3. Question 3: Halifax Ferry — Joint Distribution, Expected Profit, Marginals, Conditional Expectation
  4. Question 4: Piecewise-Linear Density — Normalization, Mean, Variance
  5. Question 5: BMI vs. Age — Simple Linear Regression, ANOVA F -Test, Prediction Interval
  6. Question 6: Deflection Temperature of Plastic Pipe — Variance Test, Two-Sample t -Test, Sample-Size Design
  7. Question 7: Hop-Plant Yields — Bartlett's Test, One-Way ANOVA, Tukey's Test, and a Single-df Contrast
  8. Question 8: Marathon Time — Multiple Regression via $(X'X)^{-1}$
  9. Question 9: Photocopier Gluing Power — Three-Factor ANOVA with Replication
  10. Question 10: $2^2$ Factorial Experiment — Design Matrix, Contrasts, Effects, ANOVA, Regression

December 2016

  1. Question 1: Joint Probability Distribution — Marginals, Mean/SD, Covariance, Correlation, Independence
  2. Question 2: Beer Fermentation — Correlation, Confidence Interval, Prediction Interval
  3. Question 3: Piecewise Probability Density Function — Normalization, Mean, Variance
  4. Question 4: Aeration and Fermentation Time — Two-Sample t -Test Against a Claimed Reduction
  5. Question 5: Blood-Collection Shakers — Variance, Mean, and One-Sample Tests, CI, Anomaly Check
  6. Question 6: BMI vs. Age — Simple Linear Regression, ANOVA F -Test, Prediction Interval
  7. Question 7: Power Outages — Poisson Goodness-of-Fit Test
  8. Question 8: Frozen-Pie Fill Mass — Two-Way ANOVA with Interaction
  9. Question 9: Running-Shoe Comparison — One-Way ANOVA and Tukey's HSD
  10. Question 10: Marathon Time — Multiple Regression via $(X'X)^{-1}$
  11. Question 11: Machine-Tool Life — $2^3$ Factorial Design

May 2015

  1. Question 1: Joint Probability Function — Correlation Coefficient and Independence
  2. Question 2: Exploratory Oil Wells — Binomial, Geometric, and Large- n Binomial Probability
  3. Question 3: Class-Average Sampling Distribution — Normal Probability and a One-Observation z -Test
  4. Question 4: Proportion of Female Engineering Students — CI and Two-Proportion Tests
  5. Question 5: Marathon Training — Simple Linear Regression, ANOVA, Intervals
  6. Question 6: Class-Mark Variability at Université de Quimper — CI for Variance, Ratio of Variances, and a Mean Test
  7. Question 7: Deflection Temperature of Plastic Pipe — Variance Test, Two-Sample t -Test, Sample-Size Design
  8. Question 8: Bearing Wear vs. Viscosity and Load — Multiple Linear Regression by Matrices
  9. Question 9: Hop-Plant Yields — Bartlett's Test, One-Way ANOVA, Tukey's Test, and a Single-df Contrast
  10. Question 10: 2³ Factorial Design — Design Matrix, Effects, Sums of Squares, and ANOVA

December 2014

  1. Question 1: Probability Density Function — Validity, Mean, and Variance
  2. Question 2: Joint Distribution — Covariance and Correlation
  3. Question 3: Binomial and Poisson Probabilities
  4. Question 4: Multiple Linear Regression — Pull Strength on Wire Length and Die Height
  5. Question 5: Simple Linear Regression — Marathon Time vs. Race Number
  6. Question 6: Sample-Size, One-Sample $t$-Test, and Confidence Intervals for IBU
  7. Question 7: Two-Sample $F$- and $t$-Tests — Marathon Shoe Comparison
  8. Question 8: Two-Factor ANOVA — Line Speed and Repair Policy on Throughput
  9. Question 9: One-Way ANOVA, Bartlett's Test, and Tukey's Test — Packing Times