A group of n = 8 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Proceed with a hypothesis test appropriate to the significance level α=6%. studen 1 2 3 4 5 6 7 8 Car 15 20 20 20 17 15 10 18 bus 10 22 15 20 12 10 12 10 Difference 5 -2 5 0 5 5 -2 8 a. The test hypotheses in this study are: H0: μd=μCar−μBus=0 and Ha: μd=μCar−μBus > 0? b. The test statistic value calculated based on the data is: c. The critical (absolute) value of the test for the desired significance level is:
A group of n = 8 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Proceed with a hypothesis test appropriate to the significance level α=6%. studen 1 2 3 4 5 6 7 8 Car 15 20 20 20 17 15 10 18 bus 10 22 15 20 12 10 12 10 Difference 5 -2 5 0 5 5 -2 8 a. The test hypotheses in this study are: H0: μd=μCar−μBus=0 and Ha: μd=μCar−μBus > 0? b. The test statistic value calculated based on the data is: c. The critical (absolute) value of the test for the desired significance level is:
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 group of n = 8 students wants to know if the commuting time from home to college by bus is less than the commuting time by car. For this, each of them recorded the time spent using each means of transport. Recorded travel times are shown below. Each pair of values refers to a student, the first value being the time spent by car and the second by bus (both in minutes). Proceed with a hypothesis test appropriate to the significance level α=6%.
studen | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
Car | 15 | 20 | 20 | 20 | 17 | 15 | 10 | 18 |
bus | 10 | 22 | 15 | 20 | 12 | 10 | 12 | 10 |
Difference | 5 | -2 | 5 | 0 | 5 | 5 | -2 | 8 |
a. The test hypotheses in this study are: H0: μd=μCar−μBus=0 and Ha: μd=μCar−μBus > 0?
b. The test statistic value calculated based on the data is:
c. The critical (absolute) value of the test for the desired significance level is:
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman