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5. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER University and college food service operations have been trying to keep up with the growing expectations of consumers with regard to the overall campus dining experience. Because customer satisfaction has been shown to be associated with repeat patronage and new customers through word-of-mouth, a public university in the Midwest took a sample of patrons from their eating establishments and asked them about their overall dining satisfaction. The following table summarizes the results for three groups of patrons. Category X n Student-Meal Plan 3.44 489 0.804 Faculty-Meal Plan 3.64 69 0.824 Student-No Meal Plan 3.47 212 0.857 (a) Is it reasonable to use a pooled standard deviation for these data? Why or why not? O Pooling is not reasonable because the largest standard deviation is more than 20% greater than the smallest standard deviation. o Pooling is reasonable because the largest standard deviation is less than twice the smallest standard deviation. o Pooling is not reasonable because the largest standard deviation is significantly different from the smallest standard deviation. o Pooling is reasonable because the largest standard deviation is less than 2. (b) The ANOVA F statistic was reported as 1.799. What are the degrees of freedom? DFG = DFE = C Find either an approximate (from a table) or an exact (from software) P-value. Sketch a picture of the F distribution that illustrates the P-value. P > 0.100 0.050