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A consumer preference study compares the effects of three different bottle designs (A, B, and C9 on sales of a popular fabric softener, 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 18 31 28

A consumer preference study compares the effects of three different bottle designs (A, B, and C9 on sales of a popular fabric softener, 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 18 31 28

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 A 18 31 28 13 31 25 14 29 22 13 29 26 15 29 20 The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below. SUMMARY Groups Design A n Count Sum Average Variance 73 14.6 4.3 Design Design C S 149 S 121 29.8 1.2 10.2 24.2 ASOVA Source of Variation s 590.9333 62.8 12.0 df Detveen Groups Mithin Groups MS 295.4467 5.2330 P-Value 7.86E-07 F erit 3.88529 56.46 Total 653.7333 14 (b) Consider the pairwise differences - MA MC - MA , and ue - An. 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 uB-uA uC -uB: (c) Find a 95 percent confidence interval for each of the treatment means A M and we Interpret these intervals. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Confidence interval uC:
Transcribed Image Text: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 A 18 31 28 13 31 25 14 29 22 13 29 26 15 29 20 The Excel output of a one-way ANOVA of the Bottle Design Study Data is shown below. SUMMARY Groups Design A n Count Sum Average Variance 73 14.6 4.3 Design Design C S 149 S 121 29.8 1.2 10.2 24.2 ASOVA Source of Variation s 590.9333 62.8 12.0 df Detveen Groups Mithin Groups MS 295.4467 5.2330 P-Value 7.86E-07 F erit 3.88529 56.46 Total 653.7333 14 (b) Consider the pairwise differences - MA MC - MA , and ue - An. 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 uB-uA uC -uB: (c) Find a 95 percent confidence interval for each of the treatment means A M and we Interpret these intervals. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) Confidence interval uC:
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