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QUESTION # 1
For a Student's t distribution with d.f. = 9 and t = 2.060,consider the following.
(a) Find an interval containing the corresponding P-value for a two-tailed test.
(b) Find an interval containing the corresponding P-value for a right-tailed test.
QUESTION # 2
Tree-ring dating from archaeological excavation sites is used in conjunction with other chronologic evidence to estimate occupation dates of prehistoric Indian ruins in the southwestern United States. Suppose it is thought that a certain pueblo was occupied around 1296 A.D. (based on evidence from potsherds and stone tools). The following data give tree-ring dates (A.D.) from adjacent archaeological sites:
1189 1267 1268 1275 1275 1271 1272 1316 1317 1230
(i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to one decimal place.)x= A.D.s= yr
(ii) Assuming the tree-ring dates in this excavation area follow a distribution that is approximately normal, does this information indicate that the population mean of tree-ring dates in the area is different from (either higher or lower than) 1296 A.D.? Use a 1% level of significance.
(a) What is the level of significance?
The z, t, and F distributions are closely linked. In fact, it is possible to use an F distribution in all cases in which a t or a z could be used.
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