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 meanxand sample standard deviations. (Round your answers to one decimal place.)x=cms=cm

(b) Compute a90%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.)