{)ne-W'ay ANUVA Test 1. You are an economic consultant for Nike. Nike is mnning an ad campaign to show con sumers that their running shoes boost speed and reduce 5k times compared to other brands. As an economist, you suggest a OneWay ANOVA test to evaluate the differences in 51-: run ning times between Nike. Brooks and Hoka consumers. You run an experiment in which you record the 5k limes for 30 different mnners: 1t) wear Nike. 10 wear Brooks and 10 wear Hokas. The data. along with the sample means and sample variances are below. Conduct an ANDVA test at o {1.05 to test if there is a difference between the population means. Assume that population data is normally distributed. the data is randome sampled and that the population standard deviations are unknown but assumed to be equal. For this problem, follow the steps just as we did in class. I want to see each step to give you full points. There is also an Excel le on Canvas (Files > Data > HWData.xlsx) with the data below if you would like to do the math computations in Excel. Nike Brooks Hoka 31.5 25.89 24.53 32.5 24.56 25.63 31 33.56 27.56 32.56 4] .5 31.5 41.52 22.5 26 41 23.5 26.2 45 29.8 25.3 32.56 31 24.5 31.5 25.2 28.9 29.5 26.3 26.3 .1: : 34.8640 .r = 28.88\"] J: = 26.6420 52 = 26.6925 52 = 29.4620 52 = 4.6822 in 10 n? ll] :13 1t]