A marketing research analyst conducted an experiment to see whether customers preferred one type of artificial sweetener over another. In the experiment, the analyst randomly assigned 60 soda drinkers to one of four groups. Each group tried a cola drink flavored with one of four sweeteners and rated the flavor.
(a) Fill in the missing cells of the ANOVA summary table.
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Source
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df
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Sum of Squares
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Mean Square
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F
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p-Value
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Regression
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150
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0.0077
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Residual
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800
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Total
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|
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(b) State and interpret the null hypothesis tested by the F-test in the analysis of this experiment.
(c) Does the F-test reject this null hypothesis?
(d) Assuming that the data meet the required condi- tions, what can we conclude from the F-test about the preferences of consumers?