Sherds 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

(a) Use a calculator with mean and sample standard deviation keys to find the sample meanxbarand sample standard deviations. (Round your answers to one decimal place.)

xbar= cm

s= cm

(b) Compute a99%confidence interval for the population meanof rim diameters for such ceramic vessels found at the Wind Mountain archaeological site. (Round your answers to one decimal place.)

lower limit cm

upper limit cm