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. 1306 1271 1222 1299 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x bar and sample standard deviations. (Round your answers to the nearest whole number.) x bar = 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

a) Mean will be = 1283

Standard deviation = 30

b) Margin of error = (T.INV(0.95,8)*30)/3 = 19

90% Interval

Lower Limit = 1283-19 = 1264

Upper Limit = 1283+19 = 1302

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