Oil wells can suffer from scale deposits, leading to a reduction in well flow performance. Consequently, it is important for oil well managers to periodically assess the damage caused by scale deposits. In the Journal of Petroleum & Gas Engineering (April 2013) researchers compared four different computer software products designed to assess scale deposit damage. These software products were (1) Kappa Saphir, (2) EPS Pansystem, (3) MS Office Excel, and (4) Mellitah B. V. Ten oil wells (all suffering from scale deposits of varying degrees) were randomly selected from all oil wells in the field of interest. Scale deposit damage (called “skin factor”) was measured for each well using all four software products. The data are shown in the next table. The objective of the study is to compare the mean skin factor values determined by the four software products

a. Explain why the data has been collected as a randomized block design.

b. Identify the dependent variable, treatments and blocks in the study.

c. Form the appropriate ANOVA table for the analysis.

d. Is there any evidence to indicate that the mean skin factor values determined by the four software products differ? Test using α = .01.

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SKINFACTOR MS Office Mellitah карра saphir EPS Well Pansystem Excel B.V. 1 39.15 37.77 44.48 16.80 12.92 13.21 18.34 12.50 3 6.84 7.02 19.21 7.00 4 4.13 4.77 11.70 4.13 5 2.59 1.96 9.25 2.40 6. 281.43 281.74 317.40 287.60 7 192.78 192.16 181.44 193.50 8. 138.23 140.84 154.65 140.00 9. 54.21 56.86 77.43 57.30 10 45.65 45.01 49.37 42.00