Stat 200 Solutions to Inference Examples

These correspond to Examples 1 through 12, covered in Lecture 23

  1. Can't be solved, because the sample is not random.
  2. Can't be solved; this is a cluster sample, not an SRS.
  3. Can't be solved; the distribution is skewed, not normal.
  4.  
    1. (32.8, 35.6)
    2. z = 5.87, so P-value is approximately 0; reject the null hypothesis
  5.  
    1. (9.05, 9.55)
    2. z = -4.59, so P-value is approximately 0; reject the null hypothesis
  6. z = 3.8, P-value = 0; reject null
  7. z = -.59, P-value = .5552; can't reject null
  8. z = 4.81, P-value = 0; reject null
  9. z=-2.95, P-value = .0016; reject null
  10. z = 1.5, P-value = .0668, can't reject
  11. z = -3, P-value = .0013; reject null
  12. Given s, not sigma, so we can't solve this by the methods of Chapter 6; we'll learn to solve such problems in Chapter 7.

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