Thousands of motorists travel on Highway 27 everyday.  Before installation of traffic cameras at mile marker 11, motorists' speeds averaged 72 mph.  After installation of cameras, speeds averaged 67 mph.  A paired samples t-test comparing the average speeds yielded a t-statistic of 1.02.  Remember, the critical value at p=.05 is 1.96.  Assuming our data meet the requirements for conducting a t-test, what can we conclude? a.  There is a greater than 5% chance that we would have observed this average difference if there really wasn't a difference in average speeds before and after the camera was installed. b.  We cannot draw any conclusions because we should have used an independent samples t-test. c.  We cannot draw any conclusions because we should have used a one-sample t-test. d.  We cannot draw any conclusions because the standard deviation was not reported. e.  We do not have enough information to draw any conclusions.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Thousands of motorists travel on Highway 27 everyday.  Before installation of traffic cameras at mile marker 11, motorists' speeds averaged 72 mph.  After installation of cameras, speeds averaged 67 mph.  A paired samples t-test comparing the average speeds yielded a t-statistic of 1.02.  Remember, the critical value at p=.05 is 1.96.  Assuming our data meet the requirements for conducting a t-test, what can we conclude?

a.  There is a greater than 5% chance that we would have observed this average difference if there really wasn't a difference in average speeds before and after the camera was installed.

b.  We cannot draw any conclusions because we should have used an independent samples t-test.

c.  We cannot draw any conclusions because we should have used a one-sample t-test.

d.  We cannot draw any conclusions because the standard deviation was not reported.

e.  We do not have enough information to draw any conclusions.

Expert Solution
Step 1

Thousands of motorists travel on Highway 27 everyday. 

Before installation of traffic cameras at mile marker 11, motorists speeds averaged 72 mph. 

After installation of cameras at mile marker 11, motorists speeds averaged 67 mph. 

 

 

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman