QUESTION 1 3 points Saved A sports drink manufacturer is trying to appeal to a new niche market and creates three new flavours: "goji berry & chia" (GC), "lime & flax-seed" (LF) and "kale & quinoa" (KQ). They wish to market only the most popular of the three. To decide which is the most popular, randomly selected shoppers were given a free sample of one of the drinks. They were then asked to rate (out of 100) the drink they had (each shopper is only allowed to have one of the drinks). A statistician was asked to analyse the data using ANOVA methodology, some of which is presented below. Unfortunately she was not able to complete the analysis and you have been asked to answer the questions below, which primarily concern finding the most popular out of the 3 suppliers. AnovaModel. 1 F) flavour 2 2736.2 1368.1 15.53 1.04e-06 *** Residuals 117 10306.5 88.1 Signif. codes: 0 '*** 0.001 '* * 0.01 '* 0.05 '.' 0.1 " 1 > with(courier, numSummary(time, groups = company, statistics = c("mean", "sd"))) mean var n GC 33.89 104.987 40 LF 37.66 79.925 40 KQ 26.18 79.357 40 Multiple Comparisons of Means: Tukey Contrasts Fit: aov(formula = rate ~ flavour, data = drinks) Linear Hypotheses Estimate Std. Error t value Pr(>|t) KQ - GC==0 -7.706 2. 126 -3.625 0.001 LF - GC==0 3.767 2.126 1.772 0.176 LF - KQ==0 11.473 2.126 5.397 8e-07 Signif. codes: 0 '*** 0.001 '** 0.01 '* 0.05 :' 0.1 "'1 (Adjusted p values reported -- single-step method) KQ GC LF "a" " " > levene Test(score ~ make, data = cars, center = "median") Levene's Test for Homogeneity of Variance (center = "median") Of F value Pr(>F) group 2 0.672 0.5128 117