5) A survey of 22 randomly sampled judges employed by the state of Florida found that they earned an average wage (including benefits) of $61.00 per hour. The sample standard deviation was $5.66 per hour. (UsetDistribution Table&zDistribution Table.) Required: a.What is the point estimate of the population mean?

b.Develop a 98% confidence interval for the population mean wage (including benefits) for these employees.(Round your answers to 2 decimal places.)

c.How many judges should be selected to estimate the population mean wage with 95% confidence and a margin of error of $1.00?(Round up your answer to the next whole number.)