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

1. (a) The central limit theorem states that for large n, the population mean μ is approximately Normal.

2. (b) For large n, the distribution of observed values will be approximately Normal.

3. (c) For sufficiently large n, the 68–95–99.7 rule says that should be within μ ± 2σ about 95% of the time.

4. (d) As long as the sample size n is less than half the population size N, the standard deviation of is .