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
12345678910
Coke Classic4513613441146337122411187
New Coke6114561439204215661140
Pepsi24901004351426813174107
Two-way ANOVA: Cans versus Drink, Building
SourceDFSSMSFP
Drink27.997.63998.805.780.011
Building955573.56174.838.930.000
Error1812443.7691.32
Total2976014.8
Descriptive Statistics: Cans
VariableDrinkMean
CansCoke Classic102.8
New Coke64.8
Pepsi73.0
(a-1) Calculate the value of the test statistic and p-value. (Round "test statistic" value to 2 decimal places and "p-value" to 4 decimal places.)
Test statistic
p-value
(a-2) At the 0.05 significance level, what is the conclusion?
Reject H0
Do not reject H0
(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.)
Confidence interval
Coke Classic - New Coke[ , ]
Coke Classic – Pepsi[ , ]
New Coke – Pepsi[ , ]