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In: Statistics and Probability

A survey of 25 randomly sampled judges employed by the state of Florida found that they...

A survey of 25 randomly sampled judges employed by the state of Florida found that they earned an average wage (including benefits) of $67.00 per hour. The sample standard deviation was $5.75 per hour.

  1. What is the best estimate of the population mean?
  2. Develop a 95% confidence interval for the population mean wage (including benefits) for these employees. (Round your answers to 2 decimal places.)
  3. How large a sample is needed to assess the population mean with an allowable error of $1.00 at 98% confidence? (Round up your answer to the next whole number.)

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