A group of n = 10 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). Carry out an appropriate hypothesis test at the α=6% significance level. studen 1 2 3 4 5 6 7 8 9 10 Car 17 20 10 25 20 18 10 20 20 10 bus 12 15 12 18 22 10 12 22 15 12 Difference 5 5 -2 7 -2 8 -2 -2 5 -2 a. What range of values is the p-value in? b. Is there evidence to reject H0 with the adopted significance level?
A group of n = 10 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). Carry out an appropriate hypothesis test at the α=6% significance level. studen 1 2 3 4 5 6 7 8 9 10 Car 17 20 10 25 20 18 10 20 20 10 bus 12 15 12 18 22 10 12 22 15 12 Difference 5 5 -2 7 -2 8 -2 -2 5 -2 a. What range of values is the p-value in? b. Is there evidence to reject H0 with the adopted significance level?
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 = 10 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). Carry out an appropriate hypothesis test at the α=6% significance level.
| studen | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Car | 17 | 20 | 10 | 25 | 20 | 18 | 10 | 20 | 20 | 10 |
| bus | 12 | 15 | 12 | 18 | 22 | 10 | 12 | 22 | 15 | 12 |
| Difference | 5 | 5 | -2 | 7 | -2 | 8 | -2 | -2 | 5 | -2 |
a. What
b. Is there evidence to reject H0 with the adopted significance level?
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 4 steps with 1 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