At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring d

Question

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1248 with a standard deviation of 26 years. The distribution of dates was more or 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.

Explanation / Answer

(a) 68% means 1 time standard deviation

i.e 1248-26,1248+26

=1222 and 1274

(b) 95% means 2 times standard deviation

i.e.1248-2*26,1248+2*26

1196 and 1300

(c)almost all the data = 3 times standard deviation

i.e.1248-3*26,1248+3*26

1170 and 1326

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