(Solved): A survey of 21 randomly sampled judges employed by the state of Florida found that they earned an a ...

A survey of 21 randomly sampled judges employed by the state of Florida found that they earned an average wage (including benefits) of $$\$59.00$$ per hour. The sample standard deviation was $$\$5,63$$ per hour. (Use LDistribution Table $$\&?$$ Distribution Table.) Required: a. What is the point estimate of the population mean? b. Develop a $$95\%$$ confidence interval for the population mean wage (including benefits) for these employeer. (Round your answers to 2 decimal places.) c. How many judges should be selected to estimate the population mean wage with $$90\%$$ confidence and a margin of error of $$51.00$$ ? (Round up your answer to the next whole number.)