A clothing store chain is having a sale based on the use of a coupon. The company is interested in knowing whether the wording of the coupon affects the number of units of the product purchased by customers. The company created four coupons for the same product, each with different wording. Four groups of 50 customers each were selected at random. Group 1 received the first version of the coupon; Group 2 received the second version; and so on. The units of the product purchased by each customer were recorded. The following ANOVA table contains some of the values from the analysis.
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Source of variation
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Degreed of freedom
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Sum of Squares
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Mean Square
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Value of the test Statistic
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Between
Within
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75127.856
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F=_______=
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Total
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77478.291
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Assume that the four populations are normally distributed with equal variances.
a. Find the missing values and complete the ANOVA table.
b. What are the appropriate null and alternative hypotheses for this analysis? Using ?=0.05, what is your conclusion about the equality of population means all four coupons?
Details are welcome, as mush as possible.