A survey of 25 randomly sampled judges employed by the state of Florida found that they earned an average wage (including benefits) of $65.00 per hour. The sample standard deviation was $6.25 per hour.
a. What is the population mean? What is the best estimate of the population mean?
b. Develop a 99% confidence interval for the population mean wage (including benefits) for these employees.
c. How large a sample is needed to assess the population mean with an allowable error of $1.00 at 95% confidence?