. {13 points} A researcher wishes to see whether there is any difference in the weight gains of athletes following one of the three special diets. Athletes are randomly assigned to three groups and placed on the diet for 6 weeks. The weight gains [in pounds] are recorded. a} [1] Identify the type of study conducted by the researcher. Explain your reasoning. is) ['2] For this study. identify the factor variable and the outcome {response variable]. c} [3] Complete the following partially completed ANDVA table for this design. Due -Way ANDVA Sumruary Table Source d) [1] How many athletes are selected for this study? e} [1] Set up the hypotheses to test the researcher's claim. f} [5] Use a = H.015 and the critical value approach to test the hypothwes above. [Assume all the assumptions are satised here}