5.25 What is wrong? Explain what is wrong in each of the following statements.

1. (a) If the population standard deviation is 10, then the standard deviation of for an SRS of 10 observations is 10/10 = 1.

2. (b) When taking SRSs from a population, larger sample sizes will result in larger standard deviations of .

3. (c) For an SRS from a population, both the mean and the standard deviation of depend on the sample size n.

4. (d) The larger the population size N, the larger the sample size n needs to be for a desired standard deviation of .