The method of tree ring dating gave the following years A.D. for an archaeologic

Question

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.

(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.)

(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.)

Explanation / Answer

Solution:

a)

Mean = 1287.1111
Standard deviation = 28.0733

b)
The t-critical value for a 90% confidence interval with n-1=9-1=8 degrees of freedom is 1.86
Sample mean = 1287.1111
Standard deviation = 1287.1111
Standard error of mean = / n
Standard error of mean = 28.0733 / 9
Standard error of mean 9.3578
Confidence interval 1287.1111-(9.3578)(1.86) and 1287.1111+(9.3578)(1.86)

(1269.7056, 1304.5166)
You may want ro round the lower and upper limits.

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