Question 6.131

6.131 Large samples.

Statisticians prefer large samples. Describe briefly the effect of increasing the size of a sample (or the number of subjects in an experiment) on each of the following.

  1. The width of a level confidence interval.
  2. The -value of a test when is false and all facts about the population remain unchanged as increases.
  3. The power of a fixed level test when, the alternative hypothesis, and all facts about the population remain unchanged.

6.131

(a) The confidence interval gets narrower. (b) The -value gets smaller. (c) Power increases.