SUBMIT ANSWER [0/6 Points] DETAILS MY NOTES BBBASICSTAT9 7.1.009. 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 excavation of dates was more or less mound-shaped and symmetric 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 $$ \square $$ and $$ \square $$ 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 $$ \square $$ X and $$ \square $$ $$ imes $$ A.D. (c) a range of years centered about the mean in which Inmost all the data (tree-ring dates) will be found between $$ \square $$ and $$ \square $$ A.D. Enter an exact number. Need Help? Read It Watch it

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SUBMIT ANSWER [0/6 Points] DETAILS MY NOTES BBBASICSTAT9 7.1.009. 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 excavation of dates was more or less mound-shaped and symmetric 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 $$ \square $$ and $$ \square $$ 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 $$ \square $$ X and $$ \square $$ $$ 	imes $$ A.D. (c) a range of years centered about the mean in which Inmost all the data (tree-ring dates) will be found between $$ \square $$ and $$ \square $$ A.D. Enter an exact number. Need Help? Read It Watch it

UpStudy AI · Accepted Answer

The problem tells us that the distribution of dates is mound‐shaped (roughly normal) and symmetric about the mean. In a normal distribution the empirical rule applies:

• About 68% of the data are within ±1 standard deviation of the mean.
• About 95% of the data are within ±2 standard deviations of the mean.
• Nearly all (about 99.7%) of the data are within ±3 standard deviations of the mean.

Thus, if we let µ be the mean and σ the standard deviation of the tree‐ring dates, the answers are:

a. About 68% of the tree‑ring dates will be found between µ – σ and µ + σ A.D.
b. About 95% will be found between µ – 2σ and µ + 2σ A.D.
c. Nearly all (≈99.7%) will be found between µ – 3σ and µ + 3σ A.D.

Enter these exact numbers (in terms of µ and σ) as your answer.
a. Between $$ \mu - \sigma $$ and $$ \mu + \sigma $$ A.D. b. Between $$ \mu - 2\sigma $$ and $$ \mu + 2\sigma $$ A.D. c. Between $$ \mu - 3\sigma $$ and $$ \mu + 3\sigma $$ A.D.

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