The Coca-Cola Company introduced New Coke in 1985. Within three months of this i
ID: 3334926 • Letter: T
Question
The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine.
The Coca-Cola Data and a MINITAB Output of a Randomized Block ANOVA of the Data:
Two-way ANOVA: Cans versus Drink, Building
(a-1) Calculate the value of the test statistic and p-value. (Round "test statistic" value to 2 decimal places and "p-value" to 4 decimal places.)
(a-2) At the 0.05 significance level, what is the conclusion?
(b) What is the Tukey simultaneous 95 percent confidence interval for the following? (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
Building 1 2 3 4 5 6 7 8 9 10 Coke Classic 52 133 124 54 136 34 61 229 124 77 New Coke 6 111 49 49 35 21 37 151 54 152 Pepsi 28 80 102 44 47 42 70 123 74 99Explanation / Answer
a - 1) For the given problem, let us define the hypothesis, H0: there are no significant defferences among the different drinks against the alternative H1: there are significant differences due to different drinks.
To test that hypothesis, it is given that the value of the test statistic, F=4.85 with the corresponding p-value=0.021.
a - 2) The above result indicates that there are significant dirrences among the different drinks (coke classic, new coke and pepsi) at alpha=0.05 level since the p-value <alpha which indicates the rejection of H0.
b)
diff lwr upr Coke Classic-New Coke 35.9 1.518 70.282 Coke Classic-Pepsi 31.5 -2.882 65.882 New Coke-Pepsi -4.4 -38.782 29.982