Shards of clay vessels were put together to reconstruct rim diameters of the original ceramic vessels at the Wind Mountain archaeological site. A random sample of ceramic vessels gave the following rim diameters (in centimeters): 15.9 13.4 22.1 12.7 13.1 19.6 11.7 13.5 17.7 18.1 6. Find the mean and standard deviation from the sample. Remember that you keep one more decimal place than in the original data. a) x = b) s= 7. Construct a 80% confidence interval for the mean of all rim diameters for such ceramic vessels found at the Wind Mountain archeological site by identifying each of the following: b) a = b) Critical value: 13 e) E= f) confidence interval estimate: