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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
icon
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.
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.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer