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 20 eggs per month with a standard deviation of 2 eggs per month. A. what is the value of the population mean? What is the best estimate of this value? B. Explain why we need to use the t distribution. What assumption do you need to make? C. For a 95% confidence interval, what is the value of t? D. Develop the 95% confidence interval for the population mean. E. Would it be reasonable to conclude that the population mean is 21 eggs? What about 25 eggs?