Excavating ancient pottery. Refer to the Chance (Fall 2000) study of ancient Greek pottery...

Excavating ancient pottery. Refer to the Chance (Fall 2000) study of ancient Greek pottery, presented. Recall that 837 pottery pieces were uncovered at the excavation site. The table describing the types of pottery found is reproduced in the next table and the information saved in the POTTERY file.

Based on Berg, I., and Bliedon, S. “The pots of phyiakopi: Applying statistical techniques to archaeology.” Chance, Vol. 13, No. 4, Fall 2000.

a. Describe the qualitative variable of interest in the study. Give the levels (categories) associated with the variable.

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b. Assume that the four types of pottery occur with equal probability at the excavation site. What are the values of p1, p2, p3, and p4, the probabilities associated with the four pottery types?

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c. Give the null and alternative hypotheses for testing whether one type of pottery is more likely to occur at the site than any of the other types.

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d. Find the test statistic for testing the hypotheses stated in part c.

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e. Find and interpret the p -value of the test. State the conclusion in the words of the problem if you use α = .10.

Excavating ancient pottery. Archaeologists excavating the ancient Greek settlement at Phylakopi classified the pottery found in trenches. ( Chance , Fall 2000.) The accompanying table describes the collection of 837 pottery pieces uncovered in a particular layer at the excavation site. Construct and interpret a graph that will aid the archaeologists in understanding the distribution of the types of pottery found at the site.

Based on Berg, I., and Bliedon, S. “The pots of Phylakopi: Applying statistical techniques to archaeology.” Chance, Vol. 13, No. 4, Fall 2000.