At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people live

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) 1256 with a standard deviation of 41 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.

in progress 0
Luna 6 days 2021-10-08T11:34:43+00:00 1 Answer 0

Answers ( )

    0
    2021-10-08T11:36:31+00:00

    Answer:

    a) (1215, 1297)

    b) (1174,  1338)

    c) (1133, 1379)      

    Step-by-step explanation:

    We are given the following information in the question:

    Mean, μ = 1256

    Standard Deviation, σ = 41

    Empirical Rule:

    • Also known as 68-95-99.7 rule.
    • It states that almost all the data lies within three standard deviation for a normal data.
    • About 68% of data lies within 1 standard deviation of mean.
    • About 95% of data lies within two standard deviation of mean.
    • About 99.7% of data lies within 3 standard deviation of mean.

    a) range of years centered about the mean in which about 68% of the data lies

    \mu \pm 1(\sigma)\\=1256 \pm 41\\=(1215, 1297)

    68% of data will be found between 1215 years and 1297 years.

    b) range of years centered about the mean in which about 95% of the data lies

    \mu \pm 2(\sigma)\\=1256 \pm 2(41)\\=1256 \pm 82\\=(1174, 1338)

    95% of data will be found between 1174 years and 1338 years.

    c) range of years centered about the mean in which about all of the data lies

    \mu \pm 3(\sigma)\\=1256 \pm 3(41)\\=1256 \pm 123\\=(1133, 1379)

    All of data will be found between 1133 years and 1379 years.

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )