1/23/2008

Chapter 10

• Review of statistical inference
  • Null hypothesis
  • Alternative hypothesis
  • Hypothesis test
  • Critical region
  • Significance level
  • Type I and Type II errors
  • Null distribution
  • P-value
• One sample inference for a mean
  • The contents of 7 similar containers of sulfuric acid are 9.8, 10.2, 10.4, 9.8, 10.0, 10.2, and 9.6 liters. Find a 95% C.I. for the mean content of all such containers, assuming an appropriate normal distribution for container contents. (See acid.sas and verify the calculations by hand.)
  • The time to repair an electronic instrument is a normally distributed random variable measured in hours. The repair times for 16 such instruments are: 159, 280, 101, 212, 224, 379, 179, 264, 222, 362, 168, 250, 149, 260, 485, and 170. Does it seem reasonable that the true mean repair time is greater than 225 hours? Use 0.05 as your significance level (See smallt.sas and verify the calculations by hand.)
• Statistical inference for a proportion