A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much employees at these plants know about quality management, a random sample of 6 employees was selected from each plant and the employees selected were given a quality awareness examination. The examination scores for these 18 employees are shown in the following table. The sample means, sample variances, and sample standard deviations for each group are also provided. Managers want to use these data to test the hypothesis that the mean examination score is the same for all three plants.

Plant 1 Atlanta Plant 2 Dallas Plant 3 Seattle

84 70 60

74 76 64

82 74 62

77 73 68

70 70 76

93 87 72

Sample mean 80 75 67

Sample variance 66.8 40.0 38.0

Sample Standard deviation 8.17 6.32 6.16

Source of Variation Sum of Squares Degrees of Freedom Mean Square F P-value

Treatments _______ ________ ________ ______ ___________

Error _______ _________ _________

Total ________ __________

Find the value of the test statistic. (Round your answer to two decimal places.)

______-

Find thep-value. (Round your answer to four decimal places.)

p-value =________