SOLUTION: I got 15.7 for A, but am not sure how to figure out B and need some assistance please and thank you Sherds of clay vessels were put together to reconstruct rim diameters of

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Question 753164: I got 15.7 for A, but am not sure how to figure out B and need some assistance please and thank you


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 verify that x=15.8cm and s=3.5cm
(b) Compute a 80% confidence interval for the population mean ? of rim diameters for such ceramic vessels found at the Wind Mountain archaeological site.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I got 15.7 for A, but am not sure how to figure out B and need some assistance please and thank you

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
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(a) Use a calculator with mean and sample standard deviation keys to verify that x=15.8cm and s=3.5cm
I got 15.7 for mean and 3.46 for sample std
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(b) Compute a 80% confidence interval for the population mean ? of rim diameters for such ceramic vessels found at the Wind Mountain archaeological site.
x-bar = 15.7
ME = t*s/sqrt(n) = 1.3930*3.46/sqrt(10) = 1.5132
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80% CI: 15.7-1.5132 < u < 15.7+1.5132
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Note: I used a T-interval because the sample size is less than 30..
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Cheers,
Stan H.