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:
Building | ||||||||||
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
Coke Classic | 41 | 128 | 143 | 35 | 147 | 35 | 68 | 220 | 107 | 94 |
New Coke | 8 | 105 | 61 | 61 | 37 | 20 | 39 | 138 | 63 | 152 |
Pepsi | 31 | 83 | 102 | 36 | 57 | 45 | 64 | 124 | 77 | 101 |
Two-way ANOVA: Cans versus Drink, Building
Source | DF | SS | MS | F | P |
Drink | 2 | 8,121.9 | 4,060.93 | 5.50 | .014 |
Building | 9 | 51,680.5 | 5,742.28 | 7.77 | .000 |
Error | 18 | 13,297.5 | 738.75 | ||
Total | 29 | 73,099.9 | |||
Descriptive Statistics: Cans | ||
Variable | Drink | Mean |
Cans | Coke Classic | 101.8 |
New Coke | 63.4 | |
Pepsi | 72.0 | |
(a-1) Calculate the value of the test statistic and p-value. (Round "test statistic" value to 2 decimal places and "p-value" to 3 decimal places.)
Test statistic | |
p-value | |
(a-2) At the 0.05 significance level, what is the conclusion?
Reject H_{0} | |
Do not reject H_{0} |
(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 2 decimal places.)
Confidence interval | |
Coke Classic - New Coke | [ , ] |
Coke Classic – Pepsi | [ , ] |
New Coke – Pepsi | [ , ] |
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