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Chapter 14, Section 14.5, Problem 31a As part of a cooperative study on the nutr

ID: 3322654 • Letter: C

Question

Chapter 14, Section 14.5, Problem 31a As part of a cooperative study on the nutritional quality of oats, 6 varieties of oat kernels with their hulls removed are subjected to a mineral analysis. The plants are grown according o a randomized block design, and the following measurements of protein by percent of dry weight are recorded. [Data courtesy of D. Peterson, L. Schrader, and V. Youngs. Block Treatment 1 19.09 20.29 20.31 19.60 18.62 20.10 2 16.28 17.88 16.88 17.57 16.72 17.32 3 16.31 18.17 17.38 17.53 16.34 17.88 4 17.50 18.05 17.59 17.64 17.38 18.04 16.25 16.92 15.88 14.78 15.97 16.66 6 21.09 21.37 21.38 20.52 21.09 21.58 Perform an analysis of variance for these data. Round answers to 3 decimal places. Source of variation Degrees of freedom Sum of squares Mean square F-ratio Treatments 106.788 21.358 106.788

Explanation / Answer

Sum of Square (Error)

= Mean square Error * Degrees of freedom Error

= 0.2*25

= 5

Total Sum of squares = 106.788 + 6.112 + 5 = 117.9

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