1.  Employ Appendix F to situate the value of t under the following conditions.

a. The sample size is 12 and level of confidence is 95 percent.

b. The sample size is 20 and level of confidence is 90 percent.

c. The sample size is 8 and level of confidence is 99 percent.

2.  The owner of Britten's Egg Farm desires to estimate mean number of eggs laid per chicken. A sample of 20 chickens shows they laid the average of 20 eggs per month with standard deviation of two eggs per month.

a. Find out the value of the population mean? What is the best estimate of this value?

b. Describe why we need to employ the t distribution. What assumption do you need to make?

c. For 95 percent of confidence interval. Find out the value of t?

d. Develop the 95 percent confidence interval for the population mean.

e. Would it be reasonable to conclude that population mean is 21 eggs? What about 25 eggs?