Question An article in Archaeometry involved an analysis of 48 samples of Romano-British pottery, found at four different kiln sites in the United Kingdom. The samples were analyzed to determine their chemical-composition. The percentage of aluminum oxide found in the samples of two sites is shown below. Island Thorns: 18.3, 15.8, 18.0, 18.0, 20.8 Ashley Rails: 17.7, 18.3, 16.7, 14.8, 19.1 a) Do the data provide sufficient information to indicate that there is a difference in the average percentage of aluminum oxide at the two sites? Test at the 5% level of significance. b) Find the approximate p-value for the test.

Question
  • An article in Archaeometry involved an analysis of 48 samples of Romano-British pottery, found at four different kiln sites in the United Kingdom. The samples were analyzed to determine their chemical-composition. The percentage of aluminum oxide found in the samples of two sites is shown below.

Island Thorns: 18.3, 15.8, 18.0, 18.0, 20.8
Ashley Rails: 17.7, 18.3, 16.7, 14.8, 19.1

  • a) Do the data provide sufficient information to indicate that there is a difference in the average percentage of aluminum oxide at the two sites? Test at the 5% level of significance.
  • b) Find the approximate p-value for the test.