The ages, in years, of a random sample of 16 pennies are 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 11, 11, 12, 26, and 30. You want to test that the mean penny age is 7 years. a. The boxplot in Display 9.40 shows that 30 is an outlier. Should it be removed from the data set? Explain why or why not.
b. Are the conditions met for a significance test of the mean age of all pennies? If not, what transformation would you suggest? Give your reason.
c. Try your transformation. Are the conditions better for inference?