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
	1	2	3	4	5	6	7	8	9	10
Coke Classic	40	112	133	36	139	32	65	210	106	75
New Coke	6	105	53	53	41	23	33	158	58	136
Pepsi	23	84	103	43	52	43	65	121	65	100

Two-way ANOVA: Cans versus Drink, Building

Source	DF	SS	MS	F	P
Drink	2	7,534.5	3,767.23	4.69	.023
Building	9	53,215.0	5,912.77	7.36	.000
Error	18	14,455.5	803.09
Total	29	75,205.0

Descriptive Statistics: Cans
Variable	Drink	Mean
Cans	Coke Classic	94.8
	New Coke	62.6
	Pepsi	69.9

(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 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.)

	Confidence interval
Coke Classic - New Coke	[ __,__ ]
Coke Classic – Pepsi	[ __, __]
New Coke – Pepsi	[ __, __]

Answer 1

MINITAB used. ( the ANOVA result already given is not correct for the give data)

(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	3.16
p-value	0.067

  

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

	Reject H0
Answer:	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.)

	Confidence interval
Coke Classic - New Coke	[ -3.10,59.50]
Coke Classic – Pepsi	[ -6.40,56.20]
New Coke – Pepsi	[ -34.60,28.00]

General Linear Model: cans versus Building, drink

Method

Factor coding

(-1, 0, +1)

Factor Information

Factor	Type	Levels	Values
Building	Fixed	10	1, 2, 3, 4, 5, 6, 7, 8, 9, 10
drink	Fixed	3	Coke Classic, New Coke, Pepsi

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Building	9	46530	5170.0	6.88	0.000
drink	2	4754	2376.9	3.16	0.067
Error	18	13533	751.8
Total	29	64817

Model Summary

S	R-sq	R-sq(adj)	R-sq(pred)
27.4194	79.12%	66.36%	42.00%

Tukey Simultaneous Tests for Differences of Means

Difference of drink Levels	Difference of Means	SE of Difference	Simultaneous 95% CI	T-Value	Adjusted P-Value
New Coke - Coke Classic	-28.2	12.3	(-59.50, 3.10)	-2.30	0.082
Pepsi - Coke Classic	-24.9	12.3	(-56.20, 6.40)	-2.03	0.134
Pepsi - New Coke	3.3	12.3	(-28.00, 34.60)	0.27	0.961

Individual confidence level = 98.00%