A hotel wanted to develop a new system for delivering roomservice breakfasts. In the current system, an order form is left onthe bed in each room. If the customer wishes to receive a roomservice breakfast, he or she places the order form on the doorknobbefore 11p.m. The current system requires customers to select a15-minute interval for desired delivery time (6:30~6:45a.m.,6:45~7:00a.m., etc.). The new system is designed to allow thecustomer to request a specific delivery time. The hotel wants tomeasure the difference (in min.) between the actual delivery timeand the requested delivery time of room service orders forbreakfast (negative time means that the order was delivered beforethe requested time, whereas the positive time means that the orderwas delivered after the requested time). The factor included werethe menu choice (American and Continental) and the desired timeperiod in which the order was to be delivered (Early Time Period[6:30~8:00a.m.] or Late Time Period[8:00~9:30a.m.]). Ten orders foreach combination of menu choice and desired time period werestudied on a particular day, and the data were stored(BreakFast.xlsx)
(a) At the 0.05 level of significance, is there an interactionbetween type of breakfast and desired time?
(b) Draw the plot of means.
(c) At the 0.05 level of significance, is there an effect due totype of breakfast? (d) At the 0.05 level of significance, is therean effect due to desired time?
| Type | Early | Late |
| Continental | 1.4 | -2.0 |
| Continental | 1.8 | 3.1 |
| Continental | 3.3 | -0.5 |
| Continental | 4.4 | 0.9 |
| Continental | 4.4 | 1.2 |
| Continental | 5.3 | -0.1 |
| Continental | 2.2 | -1.3 |
| Continental | 1.2 | 0.2 |
| Continental | 5.4 | -0.5 |
| Continental | 1.4 | 3.8 |
| American | 4.4 | 6.0 |
| American | 1.1 | 2.3 |
| American | 4.8 | 4.2 |
| American | 8.4 | 3.8 |
| American | 6.7 | 5.8 |
| American | 5.6 | 1.8 |
| American | 9.5 | 5.1 |
| American | 5.1 | 4.2 |
| American | 7.6 | 4.9 |
| American | 9.3 | 4.2 |
