In a study conducted by the Department of Health and Physical Education at the Virginia Polytechnic Institute and State University, 3 diets were assigned for a period of 3 days to each of 6 subjects in a randomized block design. The subjects, playing the role of blocks, were assigned the following 3 diets in a random order:Diet 1: mixed fat and carbohydrates,Diet 2: high fat,Diet 3: high carbohydratesAt the end of the 3-day period each subject was put on a treadmill and the time to exhaustion, in seconds, was measured. The following data were recorded. Perform the analysis of variance, separating out the diet, subject, and error sum of squares. Use a P-value to determine if there are significant differences among thediets.

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Subject 84 35 48 91 53 110 91 45 56 57 45 61 91 71 Diet 71 61 122 122 53