Name: Grant Minakawa
Student ID: 1215755112
Class: WPC 300
Due Date: 4/5/20
HOA-3
1) 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]
Null Hypothesis: Delivery time is greater than 25 min
- prob >|t| is .2071 which is greater than .05, therefore we fail to reject the null hypothesis
- prob > t is .1036 which is greater than .05, therefore we fail to reject the null hypothesis
- prob < t is .8964 which is greater than .05, therefore we fail to reject the null hypothesis
Conclusion: All of the tests fail to reject the null hypothesis, so that would indicate that delivery
time will be greater than 25 minutes
2) 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]
Null Hypothesis: Day of week does not have any effect on delivery time
- Prob > F is <.0001 which is less than .05, therefore we reject the null hypothesis
Conclusion: Since the test shows that we should reject the null hypothesis, we can conclude that
the day of week, does have an effect delivery time. The data reports 3 different groups of days.
Day 1 is by itself; days 2,7,3, and 4 are grouped together; and days 5 and 6 are the third group.
3) 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]
Null Hypothesis: The time of day does not have any effect on delivery time
Conclusion: Since the prob > F is .5473 which is greater than .05, we fail to reject the null
hypothesis. Therefore, we can conclude that time of day does not have any effect on delivery
time.
4) 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]
I think that in general Tony’s data design and collection process do a good job at gathering a sample of
data. The one recommendation I would make is, if possible, to try and take data from other months as
well as there could be a seasonal effect on the pizza sales. And then if we find that in other months there
is a significant increase in sales, then maybe it would affect delivery times due to current staff
limitations. Other than that though, for the purpose of collecting data for a month, I think his design
does a good job at giving a picture of their pizza delivery service.
5) 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]
Since the only two factors that can be controlled by Tony are “prep time” and wait time, I look at
the distribution for both of them individually. I found that the standard deviation for prep time
was very small so felt that no changes were necessary. In comparison the standard deviation for
wait time was larger.
Wait time
Prep Time
The next question I asked, was whether or not the day of the week had any effect on wait time,
because if it did, then it would suggest that Tony should hire more drivers on that day, to cut
wait time.
- To do this I tested the null hypothesis: The day of week does not have any effect on wait
time
- From this test, I concluded that you would reject the null hypothesis, therefore day of week
does have an effect on wait time. And then based on the grouping I would suggest hiring
more drivers for days 5 and 6 as they have the largest mean for wait time.
To confirm this, I looked at the correlation between distance and delivery time
