9. -1 points B8UnderStat11 6.1.009 0/100 Submissions Used My Notes O Ask Your At

Question

9. -1 points B8UnderStat11 6.1.009 0/100 Submissions Used My Notes O Ask Your At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in pueblo. Wood from several excavations gave a mean of (year) 1243 with a standard deviation of 35 years. The distribution of dates was more o less mound-shaped and symmetrical about the mean. Use the empirical rule to estimate the following. (a) a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found between and A.D. (b) a range of years centered,about the mean in which about 95% of the data (tree-ring dates) will be found between and A.D (c) a range of years centered about the mean in which almost all the data (tree-ring dates) will be found between and A.D. 0-1 naints AALUnderStat11 6 1.013 0/100 Submissions Used Mu Notes Ask Yoaur Teac

Explanation / Answer

Solution:- Given that mean = 1243 , standard deviation = 35

a) use the empirical rule : 68% of the data = mean +/- 1*sd
= 1243 +/- 35
= 1208 , 1278

b) 95% of the data = mean +/- 2*sd = 1243 +/- (2*35)
= 1173 , 1313

c) Almost all the data, ie. 99.7% of the data will be captured within three std. deviations.

So, Mean +/- 3(Std. Dev) = 1243+/-(3*35)
  
= 1138 , 1348

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