Question 6.9

6.9 What is wrong?

Explain what is wrong in each of the following statements.

  1. If the population standard deviation is 20, then the standard deviation of for an SRS of 10 observations will be .
  2. When taking SRSs from a large population, larger sample sizes will result in larger standard deviations of .
  3. For an SRS from a large population, both the mean and the standard deviation of depend on the sample size .

6.9

(a) The standard deviation will be . (b) A larger sample will result in a smaller standard deviation. (c) Only the standard deviation depends on the sample size .