Homework Help is Here – Start Your Trial Now!
Math
Statistics
Hàu * 20 ⒸH₂ μ = 20 Hàu < 20 ⒸH₂ μ = 20 Hàu > 20 ⒸH: μ> 20 Hu<20 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State your conclusion. O We reject H. We do not have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. O We reject Ho. We have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. O We fail to reject H. We have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. O We fail to reject H. We do not have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees.

Hàu * 20 ⒸH₂ μ = 20 Hàu < 20 ⒸH₂ μ = 20 Hàu > 20 ⒸH: μ> 20 Hu<20 Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State your conclusion. O We reject H. We do not have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. O We reject Ho. We have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. O We fail to reject H. We have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. O We fail to reject H. We do not have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees.

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
**Title: Statistical Analysis of Wrist Extension Using a New Mouse Design** **Introduction:** Medical research indicates that repeated wrist extension beyond 20 degrees can increase the risk of wrist and hand injuries. This study involves 24 university students using a new computer mouse design to record each student’s wrist extension. The provided data aligns with summary values from a paper. The objective is to test the hypothesis that the mean wrist extension using the new mouse design exceeds 20 degrees. The analysis will use a sample mean of 25.75, a standard deviation of 1.870829, and a significance level of α = 0.05. **Data:** Wrist extension measurements (in degrees): 27, 25, 26, 28, 27, 24, 24, 26, 26, 26, 24, 25, 22, 24, 26, 31, 24, 25, 31, 24, 25, 27, 27, 24 **Hypotheses:** State the appropriate null and alternative hypotheses: 1. \(H_0: \mu < 20\) \(H_a: \mu > 20\) 2. \(H_0: \mu = 20\) \(H_a: \mu \neq 20\) 3. \(H_0: \mu = 20\) \(H_a: \mu < 20\) 4. \(H_0: \mu = 20\) \(H_a: \mu > 20\) **Calculations:** Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) - Test statistic (\(t\)): _____ - P-value: _____ **Conclusion:** State your conclusion based on the test results: - \(We\) reject \(H_0\). We do not have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. - \(We\) reject \(H_0\). We have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. - \(We\) fail to reject \(H_0\). We have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20
Transcribed Image Text:**Title: Statistical Analysis of Wrist Extension Using a New Mouse Design** **Introduction:** Medical research indicates that repeated wrist extension beyond 20 degrees can increase the risk of wrist and hand injuries. This study involves 24 university students using a new computer mouse design to record each student’s wrist extension. The provided data aligns with summary values from a paper. The objective is to test the hypothesis that the mean wrist extension using the new mouse design exceeds 20 degrees. The analysis will use a sample mean of 25.75, a standard deviation of 1.870829, and a significance level of α = 0.05. **Data:** Wrist extension measurements (in degrees): 27, 25, 26, 28, 27, 24, 24, 26, 26, 26, 24, 25, 22, 24, 26, 31, 24, 25, 31, 24, 25, 27, 27, 24 **Hypotheses:** State the appropriate null and alternative hypotheses: 1. \(H_0: \mu < 20\) \(H_a: \mu > 20\) 2. \(H_0: \mu = 20\) \(H_a: \mu \neq 20\) 3. \(H_0: \mu = 20\) \(H_a: \mu < 20\) 4. \(H_0: \mu = 20\) \(H_a: \mu > 20\) **Calculations:** Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) - Test statistic (\(t\)): _____ - P-value: _____ **Conclusion:** State your conclusion based on the test results: - \(We\) reject \(H_0\). We do not have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. - \(We\) reject \(H_0\). We have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20 degrees. - \(We\) fail to reject \(H_0\). We have convincing evidence that the mean wrist extension for all people using the new mouse design is greater than 20
Expert Solution
Step 1: Given:

Number of students(n)=24

Sample mean=25.75

sample satandard deviation=1.870829

steps

Step by step

Solved in 3 steps with 3 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