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
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please see picture. Need this asap please and thank you.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f8ff3ba-abcf-4f56-951b-5b48557c260d%2Fb6ed71fe-6c3c-445f-b81c-79fbc21b2a13%2Fyyt09ae_processed.jpeg&w=3840&q=75)
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
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