In: Statistics and Probability
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.
1194 | 1306 | 1194 | 1313 | 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. |
1194 | -79.11 | 6258.3921 |
1306 | 32.89 | 1081.7521 |
1194 | -79.11 | 6258.3921 |
1313 | 39.89 | 1591.2121 |
1268 | -5.11 | 26.1121 |
1316 | 42.89 | 1839.5521 |
1275 | 1.89 | 3.5721 |
1317 | 43.89 | 1926.3321 |
1275 | 1.89 | 3.5721 |
Refer t-table or use excel function "=T.INV.2T(0.10,8)" to find the critical value of t.