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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.)

Given data n = 21 , x? = 59 , s = 5.63a) Estimated population me

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