# ANOVA - Bottle Design

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1. ANOVA EXERCISES

EXERCISE 10.18-Bottle Design (One Way ANOVA). Use Table 10.10. Complete the exercise from the data given and answer all of the questions in a written summary. (Cut and paste any EXCEL data that you wish to discuss).

A consumer preference study involving three different bottle designs (A,B, and C) for the jumbo size of a new liquid laundry detergent was carried out using a randomized block experimental design, with supermarkets as blocks. Specifically, four supermarkets were supplied with all three bottle designs, which were priced the same. Table 10.10 gives the number of bottles of each design sold in a 24-hour period at each supermarket. If we use these data, SST, SSB, and SSE can be calculated to be 586.1667, 421.6667, and 1.8333, respectively.

ANSWER THESE QUESTIONS

a. Test the null hypothesis Ho that no differences exist between the effects of the bottle designs on mean daily sales. Set a = .05. Can we conclude that the different bottle designs have different effects on mean sales?

b. Test the null hypothesis Ho that no differences exist between the effects of the supermarkets on mean daily sales. Set a = .05. Can we conclude that the different supermarkets have different effects on mean sales?

c. Use Tukey simultaneous 95 percent confidence intervals to make pairwise comparisons of the bottle design effects on mean daily sales. Which bottle design(s) maximize mean sales?

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##### Solution Summary

An ANOVA table is used to determine a bottle design. A null hypothesis determines whether the bottle designs have different effects on sales and if different supermarkets have effects on sales.

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