Given a table below which gives the years in A.D. for an archaeological excavation site using the method of tree ring dating:

Part A:
The sample mean is given by:

Therefore, the sample mean is 1268.
Part B:
We calculate the sample standard deviation as follows:

Part C:
The 90% confidence interval is given by:
Its an area equation. Area is length times width.
So to start, he needs 50x80 square feet in his front yard, BUT THAT IS ONLY HALF OF THE PROBLEM. For the front yard he needs 4000 sq. feet. For the back, it is different. He needs 10x40÷2. To first simplify, we do the multiplication. This comes to 400÷2. then it is simply 200.
Now for the easy part. Take the 4000 and add 200. Answer? 4,200.