**Title: Analyzing Consumer Preference for Cola Brands Using ANOVA**The Coca-Cola Company introduced New Coke in 1985. However, consumer reaction forced them to reintroduce the original formula, Coca-Cola Classic, within three months. In 1987, a marketing research firm in Chicago conducted a study comparing Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. This study presents the results using a Randomized Block ANOVA of the data collected from 10 buildings.### The DataThe study involved three cola variations:- Coca-Cola Classic- New Coke- PepsiThe data records the number of cans sold in each building as follows:| Building | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 ||----------|---|---|---|---|---|---|---|---|---|----|| Coke Classic | 143 | 123 | 45 | 52 | 218 | 122 | 44 | 68 | 153 | 106 || New Coke | 6 | 138 | 26 | 50 | 21 | 7 | 17 | 31 | 5 | 143 || Pepsi | 7 | 121 | 116 | 52 | 43 | 3 | 22 | 53 | 71 | 98 |### ANOVA Analysis**Two-way ANOVA: Cans vs. Drink, Building**- **Source of Variation:** - Drink - Building - Error - **Statistics:** - Degrees of Freedom (DF): - Drink: 2 - Building: 8 - Error: 18 - Sum of Squares (SS): - Drink: 8,137.4 - Building: 5,037.2 - Error: 12,914.6 - Mean Square (MS): - Drink: 4,068.7 - Building: 629.7 - Error: 717.5 - F-value: 5.68 - p-value: 0.012### Descriptive Statistics- **Mean Number of Cans Sold:** - Coke Classic: 101.7 -

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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: 1 2 Building 3. 4 5 6. 7. 6. 10 Coke Classic New Coke Pepsi 46 133 123 41 152 35 62 217 122 86 4 114 27 64 15 82 110 36 48 10 39 146 52 43 62 130 53 143 71 98 Two-way ANOVA: Cans versus Drink, Building F. Source Drink DF 2 8,147.4 4,073.70 5. 68 .012 SS MS Building 9 53,434.8 5,937.20 8.28 Error Total 000 12,914.6 29 74,496.8 18 717.48 Descriptive Statistics: Cans Mean Variable Drink Coke Classic New Coke Pepsi Cans 101.7 63.6 71.1 (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 5.68 statistic p-value 0.012 (a-2) At the O.05 significance level, what is the conclusion? * Reject HO Do not reject HO (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 7.98

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**Title: Analyzing Consumer Preference for Cola Brands Using ANOVA**

The Coca-Cola Company introduced New Coke in 1985. However, consumer reaction forced them to reintroduce the original formula, Coca-Cola Classic, within three months. In 1987, a marketing research firm in Chicago conducted a study comparing Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. This study presents the results using a Randomized Block ANOVA of the data collected from 10 buildings.

### The Data

The study involved three cola variations:
- Coca-Cola Classic
- New Coke
- Pepsi

The data records the number of cans sold in each building as follows:

| Building | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|----------|---|---|---|---|---|---|---|---|---|----|
| Coke Classic | 143 | 123 | 45 | 52 | 218 | 122 | 44 | 68 | 153 | 106 |
| New Coke | 6 | 138 | 26 | 50 | 21 | 7 | 17 | 31 | 5 | 143 |
| Pepsi | 7 | 121 | 116 | 52 | 43 | 3 | 22 | 53 | 71 | 98 |

### ANOVA Analysis

**Two-way ANOVA: Cans vs. Drink, Building**

- **Source of Variation:**
- Drink
- Building
- Error

- **Statistics:**
- Degrees of Freedom (DF):
- Drink: 2
- Building: 8
- Error: 18
- Sum of Squares (SS):
- Drink: 8,137.4
- Building: 5,037.2
- Error: 12,914.6
- Mean Square (MS):
- Drink: 4,068.7
- Building: 629.7
- Error: 717.5
- F-value: 5.68
- p-value: 0.012

### Descriptive Statistics

- **Mean Number of Cans Sold:**
- Coke Classic: 101.7
-

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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	42	133	131	50	148	33	64	210	106	86
New Coke	6	110	54	12	43	11	34	160	57	147
Pepsi	33	95	105	45	45	45	76	122	79	96

Two-way ANOVA: Cans versus Drink, Building

Source	DF	SS	MS	F	P
Drink	2	7,208.5	3,604.23	4.59	.024
Building	9	51,209.2	5,689.91	7.25	.000
Error	18	14,132.2	785.12
Total	29	72,549.9

Descriptive Statistics: Cans
Variable	Drink	Mean
Cans	Coke Classic	100.3
	New Coke	63.4
	Pepsi	74.1

(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.)

(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.)

Need help with (b)

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