Statistics/ One-Way ANOVA problem.
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A consumer preference study involving three bottle designs (A, B, and C) for the jumbo size of a new laundry detergent was carried out using randomized block experimental design, with supermarkets as blocks. Specifically, four supermarkets were supplied with all three bottle designs, which were priced the same. The attached table 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.
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 the mean daily sales. Set a = .05. Can we conclude that the different supermarkets have different effect on mean sales?
c). Use Turkey simultaneous 95 percent confidence intervals to make pairwise comparisons of the bottle design effects on mean daily sales. What bottle design(s) maximize mean sales?
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Solution Summary
This solution uses hypothesis testing to determine whether a statistically significant difference exists between two variables at an alpha of .05.
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