The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 20 chickens shows they laid an average of 24 eggs per month with a standard deviation of 2.71 eggs per month.
(a) What is the value of the population mean?
(b) What is the best estimate of this value?
(c) For a 90 percent confidence interval, the value of t is . (Round your answer to 3 decimal places.)
(d) The 90 percent confidence interval for the population mean is to (Round your answers to 3 decimal places.)
(e) Would it be reasonable to conclude that the population mean is 22 eggs? What about 24 eggs?