In: Statistics and Probability
A medical supply firm wishes to compare the mean daily output of its three plants in Toledo, Ohio; Ottumwa, Iowa; and Crab Apple Cove, Maine. Data were collected (measured in hundreds of units) for each site and are listed here.
Toledo: 10 12 15 18 9 17 15 12 18
Ottumwa: 15 17 18 12 13 11 12 11 12
Crab Apple Cove: 12 17 15 15 18 12 13 14 14
a. For each of the three plants, calculate the sum of the squared deviations around the mean of that plant.
b. Ignore the plant information (consider the data set, one sample with 27 observations). Calculate the sum of squared deviations around the mean of that group.
c. At the 10 percent level of significance, test to see if there is a difference in the means of the three plants.