Four GWU students have been selected to taste food sold by 3 different food trucks labeled as food truck “A”, “B” and “C” on H & 22nd Streets every Monday for 3-weeks. For each student, food trucks are assigned randomly. For example, for student #1, he was randomly assigned to food truck “B” on first Monday, food truck “A” on the second Monday and he was given food from “C” on the 3rd Monday. Students were asked to score each food between 0-10, 10 being the best. The raw data provided below.
State the null and alternative hypotheses and use the most proper statistical analysis tool to test the null hypothesis at α=0.05. If you rejected the null hypothesis, use one of the post-hoc (multiple comparison) techniques for identifying the alternative hypothesis. Entire analysis using a simple calculator (without use of a statistical software) but you can verify your results using a statistical software.