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. 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.

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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.
Transcribed Image Text: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=9n = 9. The provided sample data along with the data required to compute the sample mean Xˉ\bar X and sample variance s2s^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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