Quality control engineers at DuPont utilize nested sampling schemes to determine the percentage of a product shipped that conforms to specifications.* First, a random sample of n₁ production lots is selected; then, a random sample of n₂ batches is selected from each production lot. Finally, n₃ shipping lots are randomly selected from each batch for inspection. Suppose n₁ = 10, n₂ = 5, and n₃ = 20. Give the sources and degrees of freedom for an analysis of variance for the nested sampling design.