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04-BS-2: December 2013

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Sampling Distributions of a Normal Component Lifetime
  2. Question 2 Poisson Calls at an Internet Service Provider
  3. Question 3 Binomial and Hypergeometric Sampling
  4. Question 4 Tree Diagram and Bayes' Theorem for Customer Satisfaction
  5. Question 5 Confidence Intervals and Hypothesis Tests on Bicarbonate Content
  6. Question 6 Large-Sample Proportion and Mean — Test and Sample-Size Planning
  7. Question 7 Two-Sample F-Test and t-Test for Drill Lifetimes
  8. Question 8 Chi-Square Test of Homogeneity Across Assembly Lines

Start with Question 1 →

National Examinations, December 2013 — 04-BS-2 Probability and Statistics, 2 hours, closed book except one hand-written information sheet and an approved calculator. Statistical tables (Normal, t, chi-square, F) are supplied with the paper. The instructions state that any 5 of the 8 questions constitute a complete paper; every question is answered in full below.

Reference texts: Walpole, Myers, Myers & Ye, Probability & Statistics for Engineers and Scientists (9th ed.) — sampling distributions Ch. 8, estimation Ch. 9, hypothesis testing Ch. 10, ANOVA/chi-square Ch. 13–16.