The method of tree ring dating gave the following years A.D. for an archaeologic

Question

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. 1201 1243 1201 1278 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.

Explanation / Answer

from above mean x=42

and std deviaiton s =14

b) for (n-1=8) degree of freedom and 90% CI ; t=1.8595

therefore  90% confidence interval   lower limit =sample mean - t*std error =1238

90% confidence interval upper limit =sample mean + t*std error =1290

X 1201 1243 1201 1278 1268 1316 1275 1317 1275 mean(X) 1263.7778 std deviation(S) 42.3461 std error =S/(n)1/2 14.1154

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