To shorten the time it takes to make a pizza, a student designed an experiment to test the effect of sugar and milk on the activation times for baking yeast. He tested three different recipes He randomized the order of the recipes and replicated the treatment 5 times. Use the table of ANOVA results to complete parts a through c below. a) What are the null and alternative hypotheses? Let pk represent the mean activation time using recipe k, where [11 is the mean for recipe A. p2 is the mean for recipe B. and us is the mean for recipe C. '3 A- Ho= P1 = P2 = P3 HA: P1 P2 Pa Ci B. H0411 #112 P3 HA: P1 = P2 = P3 1' i C. H0: The means are not all equal, HA: P1 = P2 = P3 'J 0- Ho: P1 = P2 =Pa HA: The means are not all equal. b) Assuming that the assumptions for inference are satised, perform the hypothesis test and state the conclusion. Be sure to state it in terms of activation times and recipes. Use a level of signicance of or = 0.05. Choose the correct answer below. V the null hypothesis. There is V evidence that the mean activation times differ based on the recipe. Graph/chart 0) Would it be appropriate to follow up this study with multiple comparisons to see which recipes differ in their mean activation times? Explain. V because the null hypothesis V rejected, V with a multiple comparisons method to compare all the groups. 800 600 400 Activation 'nmes (sec) 200 Recipe Analysis of Variance Source DF Sum of Squares Mean Squares F-ratio P-value Recipe 2 638974.48 319487 6.9654 0.0098 Error 12 550418.93 45863 Total 14 118939341