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).

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 mean x and sample standard deviation s. (Round your answers to one decimal place.)

x =____	cm
s =____	cm

(b) Compute a 98% confidence interval for the population mean μ of 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

Answer 1

a)
We have for given data,          
              
Sample mean =15.8      
Sample standard deviation =3.5  

b)
Sample size =10      
Level of significance=0.02      
Degree of freedom =9      
              
t critical value is (by using t table)=   2.821      
              
Confidence interval formula is               


=(12.7,18.9)          
              
              
Lower confidence limit=   12.7 cm
              
Upper confidence limit=   18.9 cm