A certain statistics instructor participates in triathlons. The accompanying table lists times​ (in minutes and​ seconds) he recorded while riding a bicycle for five laps through each mile of a​ 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a​ hill?   LOADING... Click the icon to view the data table of the riding times.       Question content area bottom Part 1 Determine the null and alternative hypotheses.   H0​: ▼   mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3 Exactly two of the population means are different from each other.Exactly two of the population means are different from each other. At least one of the three population means is different from the others.At least one of the three population means is different from the others. mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 H1​: ▼   mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 At least one of the three population means is different from the others.At least one of the three population means is different from the others. mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3 Exactly one of the three population means is different from the others.

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
Question
A certain statistics instructor participates in triathlons. The accompanying table lists times​ (in minutes and​ seconds) he recorded while riding a bicycle for five laps through each mile of a​ 3-mile loop. Use a
0.05
significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a​ hill?
 
LOADING...
Click the icon to view the data table of the riding times.
 
 
 

Question content area bottom

Part 1
Determine the null and alternative hypotheses.
 
H0​:
 
mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3
mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3
Exactly two of the population means are different from each other.Exactly two of the population means are different from each other.
At least one of the three population means is different from the others.At least one of the three population means is different from the others.
mu 1 equals mu 2 equals mu 3μ1=μ2=μ3
H1​:
 
mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3
mu 1 equals mu 2 equals mu 3μ1=μ2=μ3
At least one of the three population means is different from the others.At least one of the three population means is different from the others.
mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3
Exactly one of the three population means is different from the others.
Expert Solution
Step 1: Determining the given information

The claim is that it takes the same time to ride each of the miles.

steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
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