Do in excel! Stella is comparing the effect of 3 different types of running shoes in her running time. She made, in a randomized order, 5 test runs with each type of running shoes. She would like to test her null hypothesis that the running shoes do not influence her running times. a) What is a factor? How many levels are there?  b) She has started to fill out the ANOVA table below for her data analysis. Making the usual normal population and independent sample assumptions, complete the table and test for Stella's null hypothesis with significance level 5%.  Facts:  F(2, 12; 0.05) = 3.89, F(3, 12; 0.05) = 3.49, F(3, 14; 0.05) = 3.34.  Source of Varinance Sum of square Degree of freedom Mean of sum square Test stats between groups 213       within groups (error)         total 432

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