A Consumer Preference Study Compares The Effects Of Three Different Bottle Designs A B And On Sales Of A Popular Fabr 1 (39.93 KiB) Viewed 117 times
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 А B C 16 33 23 18 31 27 19 37 21 17 29 28 13 34 25 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 5 5 Sum 83 164 124 Average 16.6 32.8 24.8 Variance 5.3 9.2. 8.2 5 ANOVA Source of Variation Between Groups Within Groups Total SS 656.1333 90.8 df 2 12 MS 328.0667 7.566667 F 43.35683 P-Value 3.23E-06 F crit 3.88529 746.9333 14
(b) Consider the pairwise differences uB-MA, MC-MA, and uc - MB. 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.) Answer is not complete. Point estimate Confidence interval UB - UA: (16.20) X (20.84) X (11.56) X UC - UA 1 Грс - В ]
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