1. Archeology: Tree rings at Burnt Mesa Pueblo, the method of tree-ring dating gave the following years A.D for an archaeological excavation site

1189. 1271. 1267. 1272 1268. 1316. 1275. 1317. 1275

a) Use a calculator with mean and standard. deviation keys to verify that the sample mean year is x bar =1272, with sample deviation s=37

2. Hospitals: Charity care What percentage of hospitals provide at least some charity care? The following problem is based on information taken from the state Health Care Data: Utilization spending, and Charateristics. Based on a random sample of hospitals reports from eastern sates, the following information was obtained.

57.1 56.2. 53.0. 66.1. 70.1. 64.7 53.5 78.2.

a) Use a calculator with mean and sample standard deviation keys to verify that x bar =62.3% and s=8.0%

3) Baseball: Home run percentage The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages.

a) Check requirements In previous problems, we assumed the x distribution was normal or approximately normal. Do we need to make such an assumption in this problem? Why or why not?