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Recitation 7 · Exercises

Exercises 1–3: Confidence Intervals

An in-class activity from the course slides — reproduced here so you can find it again after class.

📋 What to do

  1. Exercise 1: Compute an 80% one-sided confidence interval — n = 200 products, failure-censored after 13 failures, lambda-hat = 0.0015 failures per hour.
  2. Exercise 2: Compute a 90% two-sided confidence interval — n = 300 products, time-censored at 500 hours, r = 25 failures, lambda-hat = 0.01 failures per hour.
  3. Exercise 3: Results analyzed under an exponential assumption give lambda-hat = 200 FITs, Type I censoring, 3 failures — compute a 95% two-sided CI for lambda. What if it was Type II censored?

📮 Submit

Worked live in recitation, then answered as a pop quiz that opens on Canvas during class (1 pt) — graded on accuracy. It appears in this week’s module on Canvas once your instructor opens it.

Note: this page carries the live text of the activity, including the links to slides and shared materials; check back here if something looks out of date. Hand your work in on Canvas, which also carries the due date and your grade.