For Erercises 49- 54, suppose thlll u, v, and w are vectors inn" such that !l ull = 2. nvll = 3. llwll = 5, UV = - I. UW =I. andv w = -4. 49. Compute (u + v) . w.

Lecture 6: Inference: Statistical inference provides methods for drawing conclusions about a population from sample data. We will see two types of inference: confidence intervals tests of significance Confidence Interval: for a parameter gives an interval calculated from the data: X −D to X +D X is an estimate of the parameter. D is the margin of error. and it gives a probability that the true value of the parameter is in the interval. Example: There is a 95% chance that the parameter we are trying to measure is between X −D and X +D. We obtained these numbers using a method that gives correct results 95% of the time. Example: There is a 95% chance that between 18% and 22% of registered voters think the U.S. should