Chapter 11, Problem 40PS

A hotel wanted to develop a new system for delivering room service breakfasts. In the current system, an order from is left on the bed I each room. If the customer wishes to receive a room service breakfast, he or she places the order from on the doorknob before $11\text{P}\text{.M}\text{.}$ The current system requires customer to select a 15-minute interval for desired delivery time $(6:30-6:45\text{A}\text{.M}\text{.,}6:45-7:00\text{A}\text{.M}\text{.,}\text{etc}\text{.}).$ The new system is designed to allow the customer to request a specific delivery time. The hotel wants to measure the difference (in minutes) between the actual delivery time and the requested delivery time of room service orders for breakfast. (A negative time means that the order was delivered before the requested time. A positive time means that means that the order was delivered after the requested time.) The factor included were the menu choice (American or Continental) and the desired time period time period in which the order was to be delivered (Early Time Period $[6:30-8:00\text{A}\text{.M}\text{.}]$ or Late Time Period $[8:00-9:30\text{A}\text{.M}\text{.}])$ . Ten order for each combination of menu choice and desired time period were studied on a particular day. The day, stored in Breakfast: are as follows:

At the 0.05 level of Significance,

a. is there an interaction between type of breakfast and desired time?

b. is there an effect due to type of breakfast?

c. is there an effect due to desired time?

d. Plot the mean delivery time difference for each desired time for each type of breakfast.

e. On the basis of the results of (a) through (d), what conclusions can you reach concerning delivery time difference? Discuss.