IPO200 Chapter 8 Homework

One-way ANOVA: Test for More than Three Means

An El Salvadorian pig farmer, Jose, had the idea to add a by-product from the production of cane sugar to his pig feed. The idea was that the pigs would eat more, gain weight, and be worth more at market time. He had 24 weaner pigs weighing from 20 to 40 pounds. He randomly divided the pigs into three groups of eight. He concocted three different feed types, each containing different levels of the cane sugar by-product (low sugar, medium, and high). The farmer decided to record the pounds of feed consumed by each pig for 1 week. The pigs fed the low-sugar feed consumed 8.5, 8.0, 13.2, 6.8, 6.45, 6.0, 9.12, and 9.75 pounds. The pigs fed the medium-sugar feed consumed 10.99, 10.5, 9.67, 8.61, 10.92, 12.8, 9.03, and 9.45 pounds. The pigs fed high-sugar feed consumed 10.39, 9.97, 13.78, 12.69, 12.8, 9.67, 9.98, and 10.67 pounds.

Your task is to seek evidence that there is a significant difference in consumption for the three different feed types (following the steps given in the class). Write the null and alternative hypotheses (in both text and notation format for general hypotheses and hypotheses in post-hoc analysis). If statistical significance is determined, then identify which groups contribute to overall significance. Once you complete the analysis, answer Jose's question about whether he should add the cane sugar by-product to his pig feed and which of the three feeds is the best.