A consumer preference study compares the effects of three different bottle designs (A,B, andC) on sales of a popular fabric softener. A completely randomized design is employed. Specifically, 15 supermarkets of equal sales potential are selected, and 5 of these supermarkets are randomly assigned to each bottle design. The number of bottles sold in 24 hours at each supermarket is recorded. The data obtained are displayed in the following table.

Bottle Design Study Data
A	B	C
	17			29			23
	18			30			24
	17			33			22
	14			33			23
	17			31			21

The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below.

SUMMARY
Groups	Count	Sum	Average	Variance
DesignA	5	83	16.6	2.3
DesignB	5	156	31.2	3.2
DesignC	5	113	22.6	1.3

ANOVA
Source of Variation	SS	df	MS	F	P-Value	F crit
Between Groups	538.5333	2	269.2667	118.79	3.23E-06	3.88529
Within Groups	27.2	12.0	2.2667
Total	565.7333	14

(a)	Test the null hypothesis thatA,B, andCare equal by setting= .05. Based on this test, can we conclude that bottle designs A, B, and C have different effects on mean daily sales?(Round your answers to 2 decimal places.Leave no cells blank - be certain to enter "0" wherever required.)

F
p-value

(Click to select)RejectDo not rejectH₀:bottle design(Click to select)doesdoes nothave an impact on sales.

(b)

Consider the pairwise differencesB-A,C-A, andC-B. Find a point estimate of and a Tukey simultaneous 95 percent confidence interval for each pairwise difference. Interpret the results in practical terms. Which bottle design maximizes mean daily sales?(Round your answers to 2 decimal places.Negative amounts should be indicated by a minus sign.)

_B-_A: [,]

_C-_A: [,]

_C-_B: [,]

Bottle design(Click to select)ABCmaximizes sales.

(c)	Find a 95 percent confidence interval for each of the treatment meansA,B, andC. Interpret these intervals.(Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)