Has the average time for a 10-mile race changed? To answer that question, we consider the Cherry Blossom Race, a 10-mile race run in Washington D.C. each spring. The average time for all runners who finished the Cherry Blossom Race in 2006 was 93.29 minutes. We take a sample of 100 participants from the 2019 Cherry Blossom Race. Suppose the standard deviation is known to be 16.7 minutes. You test the following hypotheses and get a test statistic of 2.41. Ho :µ = 93. 29 Ha :µ + 93. 29 a) Determine the P-value for this test. (give your answer to 4 decimal places) b) At a significance level of 1%, what is your conclusion? Explain in context of the problem.
Has the average time for a 10-mile race changed? To answer that question, we consider the Cherry Blossom Race, a 10-mile race run in Washington D.C. each spring. The average time for all runners who finished the Cherry Blossom Race in 2006 was 93.29 minutes. We take a sample of 100 participants from the 2019 Cherry Blossom Race. Suppose the standard deviation is known to be 16.7 minutes. You test the following hypotheses and get a test statistic of 2.41. Ho :µ = 93. 29 Ha :µ + 93. 29 a) Determine the P-value for this test. (give your answer to 4 decimal places) b) At a significance level of 1%, what is your conclusion? Explain in context of the problem.
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
Please see picture. Need this asap please and thank you.
Transcribed Image Text:Has the average time for a 10-mile race changed?
To answer that question, we consider the Cherry Blossom Race, a 10-mile race run in
Washington D.C. each spring. The average time for all runners who finished the
Cherry Blossom Race in 2006 was 93.29 minutes. We take a sample of 100
participants from the 2019 Cherry Blossom Race. Suppose the standard deviation is
known to be 16.7 minutes.
You test the following hypotheses and get a test statistic of 2.41.
Ho :µ = 93. 29
Ha :µ + 93. 29
a) Determine the P-value for this test. (give your answer to 4 decimal places)
b) At a significance level of 1%, what is your conclusion? Explain in context of the
problem.
40of1
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 3 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