Question

The method of tree ring dating gave the following years A.D. for an archaeological excavation site....

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 1320 1187 1243 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.)

x = 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.

Homework Answers

Answer #1

From the given sample,

a)

= 1270

S = 45

b)

t critical value at 0.10 significance level with 8 df = 1.860

90% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

1270 - 1.860 * 45 / sqrt(9) < < 1270 + 1.860 * 45 / sqrt(9)

1242 < < 1298

Lower limit = 1242

Upper limit = 1298

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