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.12291285 12991320 1268 131612751317 1275(a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)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 limitA.D.upper limitA.D.

Answered: The method of tree ring dating gave the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.
1229
1285 1299
1320 1268 1316
1275
1317 1275
(a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)
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.

Expert Solution

Step 1

The sample size is $n = 9$ . The provided sample data along with the data required to compute the sample mean $\bar X$ and sample variance $s^2$ are shown in the table below:

	x	x²
	1229	1510441
	1285	1651225
	1299	1687401
	1320	1742400
	1268	1607824
	1316	1731856
	1275	1625625
	1317	1734489
	1275	1625625
Sum =	11584	14916886

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