In: Statistics and Probability
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 |