a. A local pizza restaurant advertisement claims that the restaurant delivers pizzas to the student accommodations on campus faster than a local branch of a national pizza chain. Both the local pizza restaurant and national pizza chain are located the same distance from the student accommodations. Let the variable of interest be the delivery time (in minutes). from the time the pizza is ordered to when it is delivered. A researcher takes a random sample of 25 pizzas from the local pizza restaurant and 25 pizzas from the national chain ordered at different times. The data are summarised using the following Microsoft Excel output. Local Restaurant National Chain 20.684 18.792 Mean Variance 12.003 10.036 25 Observations 25 df 48 t Stat -2.015 t Critical one-tail 1.677 t Critical two-tail 2.011 Conduct an appropriate hypothesis test, at a 5% level of significance, to determine whether the mean delivery time for the local pizza restaurant is less than the mean delivery time for the national pizza chain. Assume that the two populations of delivery times are normally distributed with unequal variances.
a. A local pizza restaurant advertisement claims that the restaurant delivers pizzas to the student accommodations on campus faster than a local branch of a national pizza chain. Both the local pizza restaurant and national pizza chain are located the same distance from the student accommodations. Let the variable of interest be the delivery time (in minutes). from the time the pizza is ordered to when it is delivered. A researcher takes a random sample of 25 pizzas from the local pizza restaurant and 25 pizzas from the national chain ordered at different times. The data are summarised using the following Microsoft Excel output. Local Restaurant National Chain 20.684 18.792 Mean Variance 12.003 10.036 25 Observations 25 df 48 t Stat -2.015 t Critical one-tail 1.677 t Critical two-tail 2.011 Conduct an appropriate hypothesis test, at a 5% level of significance, to determine whether the mean delivery time for the local pizza restaurant is less than the mean delivery time for the national pizza chain. Assume that the two populations of delivery times are normally distributed with unequal variances.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![a. A local pizza restaurant advertisement claims that the restaurant delivers pizzas to the
student accommodations on campus faster than a local branch of a national pizza chain.
Both the local pizza restaurant and national pizza chain are located the same distance from
the student accommodations. Let the variable of interest be the delivery time (in minutes),
from the time the pizza is ordered to when it is delivered.
A researcher takes a random sample of 25 pizzas from the local pizza restaurant and 25
pizzas from the national chain ordered at different times. The data are summarised using
the following Microsoft Excel output.
Local Restaurant
National Chain
18.792
20.684
Mean
Variance
12.003
10.036
Observations
25
25
df
48
t Stat
-2.015
1.677
t Critical one-tail
t Critical two-tail
2.011
Conduct an appropriate hypothesis test, at a 5% level of significance, to determine whether
the mean delivery time for the local pizza restaurant is less than the mean delivery time for
the national pizza chain. Assume that the two populations of delivery times are normally
distributed with unequal variances.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e1e8b5a-27be-4811-81c5-ae79726012ba%2F4a3fe351-5946-4f09-886d-e1ac74a96202%2Fdmq14pv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a. A local pizza restaurant advertisement claims that the restaurant delivers pizzas to the
student accommodations on campus faster than a local branch of a national pizza chain.
Both the local pizza restaurant and national pizza chain are located the same distance from
the student accommodations. Let the variable of interest be the delivery time (in minutes),
from the time the pizza is ordered to when it is delivered.
A researcher takes a random sample of 25 pizzas from the local pizza restaurant and 25
pizzas from the national chain ordered at different times. The data are summarised using
the following Microsoft Excel output.
Local Restaurant
National Chain
18.792
20.684
Mean
Variance
12.003
10.036
Observations
25
25
df
48
t Stat
-2.015
1.677
t Critical one-tail
t Critical two-tail
2.011
Conduct an appropriate hypothesis test, at a 5% level of significance, to determine whether
the mean delivery time for the local pizza restaurant is less than the mean delivery time for
the national pizza chain. Assume that the two populations of delivery times are normally
distributed with unequal variances.
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