Is the true average delivery time for Tony Pizza greater than 25 minutes
Assignment:
Tony has asked you for some assistance in interpreting the data he has collected. In particular, he needs to know if the true average delivery time for Tony’s Pizza is greater than 25 minutes. Use the data in the file pizza.jmp to answer his questions. A description of this data set is given in the data description section. Also examine the data for further information that might help Tony in making his decision about the 29 minutes delivery guarantee and improving his pizza delivery service. The case questions will assist you in your analysis of the data. Use important details from your analysis to support your recommendation.
Data Description
The pizza.jmp file contains the data collected by Tony Scapelli over the past month on pizza deliveries. Data are recorded for each delivery order placed in the manner depicted below.
| Day | Hour | Prep. Time | Wait Time | Travel Time | Distance |
| 5 | 4 | 14.86 | 3.08 | 6.02 | 2.5 |
| 5 | 5 | 14.84 | 13.81 | 5.47 | 3.3 |
| 5 | 6 | 15.41 | 9.91 | 8.99 | 4.9 |
| 5 | 7 | 16.34 | 2.08 | 7.98 | 3.8 |
| 5 | 8 | 15.19 | 2.69 | 9.01 | 4.9 |
The variables are defined as follows:
Day: Day of the week (1=Monday, 7=Sunday)
Hour: Hours of the day (4-11 pm)
Prep. Time: Time required (in minutes) to prepare the order
Wait Time: Time (in minutes) from completing preparation of the order until a delivery
Person was available to deliver the order.
Travel Time: Time (in minutes) it took the car to reach the delivery location Distance: Distance (in miles) from Tony’s pizza to the delivery location.
Case Questions
- Is there sufficient evidence to conclude that the average time to deliver a pizza, once the order placed, is greater than 25 minutes? Perform an appropriate statistical test to support your conclusion (infer for the population) and attach all necessary output from JMP analysis to support your answer. [5 points]
- Does the day of the week have an effect on delivery time? How? Perform an appropriate statistical test to support your conclusion. Attach all necessary output from JMP to support your answer. [5 points]
- Does the time of day have an effect on delivery time? Perform an appropriate statistical test to support your conclusion. Attach necessary JMP output to support your answer. [5 points]
- Discuss Tony Scapelli’s data design and collection. Comment on any potential problems resulting from the way in which the data were collected. Would you recommend that he collect additional data in order to better evaluate the pizza delivery service? Explain. [5 points]
- Based on your analysis of the data, what action (or actions) would you recommend to the owners of Tony’s Pizza to improve their operations? Attach any supporting JMP output that led to your conclusion. [5 points]
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