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In: Statistics and Probability

4. An airline wants to know the impact of method of redeeming frequent-flyer miles and the...

4. An airline wants to know the impact of method of redeeming frequent-flyer miles and the age group of customers on how the number of miles they redeemed. To do so, they perform a two-way analysis of variance on the data for miles redeemed shown on cells L35 to O43 on the answers sheet.
a. Identify the null and alternative hypotheses for each of the two main effects and the interaction.
b. Use two-way analysis of variance to test each of these three sets of hypotheses at the 0.05 significance level.
Methods of redeeming miles Under 25 25 to 40 41 to 60 Over 60 sums mean
Cash 300,000 60,000 40,000 0
0 0 25,000 5,000
25,000 0 25,000 25,000
Discount Vacations 40,000 40,000 25,000 45,000
25,000 25,000 50,000 25,000
0 5,000 0 0
Discount Internet Shopping Spree 25,000 30,000 25,000 30,000
25,000 25,000 50,000 25,000
75,000 50,000 0 25,000
sums
mean

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