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			31			25
	16			35			20
	18			35			27
	19			31			22
	13			33			26

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

SUMMARY
Groups	Count	Sum	Average	Variance
Design A	5	83	16.6	5.3
Design B	5	165	33.0	4.0
Design C	5	120	24.0	8.5

ANOVA
Source of Variation	SS	df	MS	F	P-Value	F crit
Between Groups	674.5333	2	337.2667	56.84	7.58E-07	3.88529
Within Groups	71.2	12.0	5.9330
Total	745.7333	14

(a)Test the null hypothesis that_A,_B, and_Care 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.)

(b)Consider the pairwise differences_B-_A,_C-_A, and_C-_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.)

Point estimate Confidence interval
B -A:		, [		,		]
C -A:		, [		,		]
C -B:		, [		,		]

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

Confidence interval
A: [		,
B: [		,
C: [		,