Homework Help is Here – Start Your Trial Now!
Math
Statistics
As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle-the farthest a subject is able to lean and still recover in one step-was determin for both a sample of younger females (21-29 years) and a sample of older females (67-81 years). The following observations are consistent with summary data given in the article: YF: 28, 35, 32, 27, 28, 32, 31, 34, 32, 25 OF: 17, 16, 21, 13, 12 USE SALT Does the data suggest that true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF)? State and test the relevant hypotheses at significance level 0.10. (Use μ, for younger females a H₂ for older females.) | 0 О но 1-2=0 Ha: H1 - H2 <0 Hoi Hy Hy = 10 На: Н2 - H2 < 10 < 0 H : H1 - H2=0 на: H1 - H2>0 • Hoi Hy Hy = 10 H: M₁-M₂ > 10 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t=2.4 P-value = 0.016 X State the conclusion in the problem context. O Reject Ho. The data suggests that true average lean angle for older females is not more than 10 degrees smaller than that of younger females. Reject Ho. The data suggests that true average lean angle for older females is more than 10 degrees smaller than that of younger females. O Fail to reject Ho. The data suggests that true average lean angle for older females is not more than 10 degrees smaller than that of younger females. Fail to reject Ho. The data suggests that true average lean angle for older females is more than 10 degrees smaller than that of younger females.

As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle-the farthest a subject is able to lean and still recover in one step-was determin for both a sample of younger females (21-29 years) and a sample of older females (67-81 years). The following observations are consistent with summary data given in the article: YF: 28, 35, 32, 27, 28, 32, 31, 34, 32, 25 OF: 17, 16, 21, 13, 12 USE SALT Does the data suggest that true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF)? State and test the relevant hypotheses at significance level 0.10. (Use μ, for younger females a H₂ for older females.) | 0 О но 1-2=0 Ha: H1 - H2 <0 Hoi Hy Hy = 10 На: Н2 - H2 < 10 < 0 H : H1 - H2=0 на: H1 - H2>0 • Hoi Hy Hy = 10 H: M₁-M₂ > 10 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t=2.4 P-value = 0.016 X State the conclusion in the problem context. O Reject Ho. The data suggests that true average lean angle for older females is not more than 10 degrees smaller than that of younger females. Reject Ho. The data suggests that true average lean angle for older females is more than 10 degrees smaller than that of younger females. O Fail to reject Ho. The data suggests that true average lean angle for older females is not more than 10 degrees smaller than that of younger females. Fail to reject Ho. The data suggests that true average lean angle for older females is more than 10 degrees smaller than that of younger females.

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

I keep getting P-value incorrect. Please help, WILL thumbs up if correct. 

# Analyzing Maximum Lean Angles in Younger and Older Females As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle—the farthest a subject is able to lean and still recover in one step—was determined for both a sample of younger females (21–29 years) and a sample of older females (67–81 years). The following observations are consistent with summary data given in the article: - **Younger Females (YF)**: 28, 35, 32, 27, 28, 32, 31, 34, 32, 25 - **Older Females (OF)**: 17, 16, 21, 13, 12 ### Hypothesis Testing The objective is to determine if the data suggests that the true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF). The hypotheses are tested at a significance level of 0.10. #### Hypotheses - Null Hypothesis (\( H_0 \)): \( \mu_1 - \mu_2 = 10 \) - Alternative Hypothesis (\( H_a \)): \( \mu_1 - \mu_2 > 10 \) Where \( \mu_1 \) is the mean lean angle for younger females and \( \mu_2 \) for older females. ### Statistical Calculation - **Test Statistic (t)**: 2.4 - **P-value**: 0.016 ### Conclusion Based on the hypothesis test performed: - The decision to *reject* \( H_0 \) is made. The data suggests that the true average lean angle for older females is more than 10 degrees smaller than that of younger females. The test result is significant at the 0.10 level, suggesting that older females have a notably smaller maximum lean angle than younger females, which may have implications for fall risk and prevention strategies in the elderly population.
Transcribed Image Text:# Analyzing Maximum Lean Angles in Younger and Older Females As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle—the farthest a subject is able to lean and still recover in one step—was determined for both a sample of younger females (21–29 years) and a sample of older females (67–81 years). The following observations are consistent with summary data given in the article: - **Younger Females (YF)**: 28, 35, 32, 27, 28, 32, 31, 34, 32, 25 - **Older Females (OF)**: 17, 16, 21, 13, 12 ### Hypothesis Testing The objective is to determine if the data suggests that the true average maximum lean angle for older females (OF) is more than 10 degrees smaller than it is for younger females (YF). The hypotheses are tested at a significance level of 0.10. #### Hypotheses - Null Hypothesis (\( H_0 \)): \( \mu_1 - \mu_2 = 10 \) - Alternative Hypothesis (\( H_a \)): \( \mu_1 - \mu_2 > 10 \) Where \( \mu_1 \) is the mean lean angle for younger females and \( \mu_2 \) for older females. ### Statistical Calculation - **Test Statistic (t)**: 2.4 - **P-value**: 0.016 ### Conclusion Based on the hypothesis test performed: - The decision to *reject* \( H_0 \) is made. The data suggests that the true average lean angle for older females is more than 10 degrees smaller than that of younger females. The test result is significant at the 0.10 level, suggesting that older females have a notably smaller maximum lean angle than younger females, which may have implications for fall risk and prevention strategies in the elderly population.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS