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 45 136 134 41 146 33 71 224 111 87 New Coke 6 114 56 14 39 20 42 156 61 140 Pepsi 24 90 100 43 51 42 68 131 74 107   Two-way ANOVA: Cans versus Drink, Building Source DF SS MS F P Drink 2 7997.6 3998.80 5.78 0.011 Building 9 55573.5 6174.83 8.93 0.000 Error 18 12443.7 691.32     Total 29 76014.8         Descriptive Statistics: Cans Variable Drink Mean Cans Coke Classic 102.8   New Coke 64.8   Pepsi 73.0   (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.) (a-2) At the 0.05 significance level, what is the conclusion? multiple choice 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 2 decimal places.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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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 45 136 134 41 146 33 71 224 111 87
New Coke 6 114 56 14 39 20 42 156 61 140
Pepsi 24 90 100 43 51 42 68 131 74 107
 

Two-way ANOVA: Cans versus Drink, Building

Source DF SS MS F P
Drink 2 7997.6 3998.80 5.78 0.011
Building 9 55573.5 6174.83 8.93 0.000
Error 18 12443.7 691.32    
Total 29 76014.8      
 
Descriptive Statistics: Cans
Variable Drink Mean
Cans Coke Classic 102.8
  New Coke 64.8
  Pepsi 73.0
 

(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.)

(a-2) At the 0.05 significance level, what is the conclusion?

multiple choice

  • 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 2 decimal places.)

a.

What is the approximate real rate of interest? (Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

b. What is the exact real rate? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
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