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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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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:
Building
3.
2
4
6.
7.
8.
9.
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
Source
Drink
Building 9 .000
Error
SS
MS
DF
2
8,147.4 4, 073.70 5.68 .012
53,434.8 5,937.20 8.28
18 12,914.6
29
717.48
Total
74,496.8
Descriptive Statistics:
Cans
Variable Drink
Mean
Coke
Cans
101.7
Classic
New Coke
Pepsi
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
statistic
p-value
5.68
0.012
(a-2) At the 0.05 significance level, what is the conclusion?
O Reject HO
Do not reject Hồ
(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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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)

Solution