A consumer preference study compares the effects of three different bottle designs (A B, and ) 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 15

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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A consumer preference study compares the effects of three different bottle designs (A, B, and 9 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 folowing table.
Bottle Design Study Data
15
32
26
13
30
33
28
18
21
23
26
16
30
32
19
The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below.
SUMMARY
Groups
Design A
Design B
Design C
Count Sun Average Variance
16.2 S.7
81
157
31.4
24.8
1.8
7.7
124
ANOVA
Source of Variation
Between Groups
within Groups
Ss
S80.9333
60.8 12.0
df
MS
290.4667
Value
I crit
3.80529
2.
57.33
7.2JE-07
5.0670
Total
641.7333
14
(a) Test the null hypothesis that A and Mc are equal by setting a= 05. Based on this test, can we conclude that bottle designs A, B.
and C have different effects on mean dally sales? (Round your answers to 2 decimal places.)
F M
P-value=
HO: botle design
have an impact on sales
Transcribed Image Text:A consumer preference study compares the effects of three different bottle designs (A, B, and 9 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 folowing table. Bottle Design Study Data 15 32 26 13 30 33 28 18 21 23 26 16 30 32 19 The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below. SUMMARY Groups Design A Design B Design C Count Sun Average Variance 16.2 S.7 81 157 31.4 24.8 1.8 7.7 124 ANOVA Source of Variation Between Groups within Groups Ss S80.9333 60.8 12.0 df MS 290.4667 Value I crit 3.80529 2. 57.33 7.2JE-07 5.0670 Total 641.7333 14 (a) Test the null hypothesis that A and Mc are equal by setting a= 05. Based on this test, can we conclude that bottle designs A, B. and C have different effects on mean dally sales? (Round your answers to 2 decimal places.) F M P-value= HO: botle design have an impact on sales
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