Question

A hotel wanted to develop a new system for delivering room service breakfasts. In the current system, an order form is left on the bed in each room. If the customer wishes to receive a room service breakfast, he or she places the order form on the doorknob before 11p.m. The current system requires customers to select a 15-minute interval for desired delivery time (6:30~6:45a.m., 6:45~7:00a.m., etc.). The new system is designed to allow the customer to request a specific delivery time. The hotel wants to measure the difference (in min.) between the actual delivery time and the requested delivery time of room service orders for breakfast (negative time means that the order was delivered before the requested time, whereas the positive time means that the order was delivered after the requested time). The factor included were the menu choice (American and Continental) and the desired time period 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 for each combination of menu choice and desired time period were studied on a particular day, and the data were stored (BreakFast.xlsx)

(a) At the 0.05 level of significance, is there an interaction between 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 to type of breakfast? (d) At the 0.05 level of significance, is there an 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

Answer 1

A) NULL HYPOTHESIS H0: There is no interaction between type of breakfast and desired time.

ALTERNATIVE HYPOTHESIS Ha: There is interaction between type of breakfast and desired time.

alpha= 0.05

P value = 0.636

Since P value is greater than 0.05 level of significance hence P value not significant.

Decision: Fail to reject Null hypothesis H0.

Conclusion: There is no interaction between type of breakfast and desired time.

c) NULL HYPOTHESIS H0: There is no difference in means of TYPES OF BREAKFAST.

ALTERNATIVE HYPOTHESIS HA: At least one mean is diiferent .

alpha=0.05

P value= 0.000

Since P value <0.05 hence significant.

Conclusion: Since P value is significant we can reject null hypothesis H0 at 0.05 level of significance and conclude that at least one mean is different.There is an effect due to type of breakfast at 0.05 level of significance.

D) NULL HYPOTHESIS H0: There is no difference in means of desired time.

ALTERNATIVE HYPOTHESIS HA: At least one mean is diiferent .

alpha=0.05

P value= 0.001

Since P value <0.05 hence significant.

Conclusion: Since P value is significant we can reject null hypothesis H0 at 0.05 level of significance and conclude that at least one mean is different.At the 0.05 level of significance, there is an effect due to desired time.

NOTE: I USED SPSS FOR ANALYSIS.