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The method of tree ring dating gave the following years A.D. for an archaeological excavation site....

Question

The method of tree ring dating gave the following years A.D. for an archaeological excavation site....

The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.

1250 1271 1285 1320 1268 1316 1275 1317 1275

(a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)

x = A.D.
s = yr


(b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.)

lower limit     A.D.
upper limit     A.D.

Answers

The statistical software output for this problem is:

One sample T confidence interval: : Mean of variable 90% confidence interval results: Variable Sample Mean Std. Err. DF L. Li

Hence,

a) x = 1286

s = 25

b) 90% confidence interval:

Lower limit = 1271

Upper limit = 1302


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