Pronto Pizza is a family-owned pizza restaurant in Vinemont, a small town of 20,000 people in upstate New York. Antonio Scapelli started the business 30 years ago as Antonio’s Restaurant with just a few thousand dollars. Antonio, his wife, and their children, most of whom are now grown, operate the business. Several years ago, one of Antonio’s sons, Tony Jr., graduated from NYU with an undergraduate degree in business administration. After graduation, he came back to manage the family business. Pronto Pizza was one of the earliest pizza restaurants to offer pizza delivery to homes. Fortunately, Tony had the foresight to make this business decision a few years ago. At the same time, he changed the restaurant’s name from Antonio’s to Pronto Pizza to emphasize the pizza delivery service. The restaurant has thrived since then and has become one of the leading businesses in the area. While many of their customers still “dine in” at the restaurant, nearly 90% of Pronto’s current business is derived from the pizza delivery service.
1. Is there sufficient evidence in the data to conclude that the average time to deliver a pizza, from the time of the phone call to the time of delivery, is greater than 25 minutes? Using a level of significance of your choice, perform an appropriate statistical analysis and attach any supporting computer output. What is the p-value for the test?
2. Based on the data Tony has already collected, approximately what percentage of the time will Pronto Pizza fail to meet its guaranteed time of 29 minutes or less? Explain how you arrived at your answer and discuss any assumptions that you are making. Does it appear that they will meet their requirement of failing to meet the guarantee 5% of the time or less?
3. Compare the average delivery times for different days of the week. Does the day of the week seem to have an effect on the average time a customer will have to wait for his or her pizza? Attach any supporting output for your answer.
4. Compare the average delivery times for different hours of the day. Does the time of day seem to have an effect on the average time a customer will have to wait for his or her pizza? Attach any supporting output for your answer.
5. Based on your analysis of the data, what action (or actions) would you recommend to the owners of Pronto Pizza to improve their operation? Attach any supporting output that led to your conclusion.