Sherds of clay vessels were put together to reconstruct rim diameters of the ori

Question

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).

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

(b) Compute a 90% confidence interval for the population mean ? of rim diameters for such ceramic vessels found at the Wind Mountain archaeological site. (Round your answers to one decimal place.)

Explanation / Answer

a)
mean = 15.78
sd = 3.4608

b)
n = 10
degree of freedom = n-1= 9
t-critical for 90% confidence interval is 1.833

hence 90% confidence interval is
(15.78 - 1.833 * 3.4605/sqrt(10) , 15.78 + 1.833 * 3.4605/sqrt(10) )
= (13.7741,17.78586)

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