there sufficient evidence to indicate that the average diameter of the tendon for patients with Achilles tendon injuries is greater than 5.96 mm? Test at the 5% level of significance. State the null and alternative hypotheses. O Ho: H < 5.96 versus H: u > 5.96 O Ho: H = 5.96 versus H: u 5.96 O Ho: H = 5.96 versus H: > 5.96 O Ho: H = 5.96 versus H,: u< 5.96 O Ho: H = 5.96 versus H: H= 5.96 Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic rejection region State your conclusion. O Ho is not rejected. There is sufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm. O H, is rejected. There is insufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm. O Ho is not rejected. There is insufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm.

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

This question has 3 parts

Some sports that involve a significant amount of running, jumping, or hopping put participants at risk for Achilles tendon injuries. A study looked at the diameter (in mm) of the injured tendons for patients who participated in these types of sports activities. Suppose that
the Achilles tendon diameters in the general population have a mean of 5.96 millimeters (mm). When the diameters of the injured tendon were measured for a random sample of 31 patients, the average diameter was 9.50 mm with a standard deviation of 1.95 mm. Is
there sufficient evidence to indicate that the average diameter of the tendon for patients with Achilles tendon injuries is greater than 5.96 mm? Test at the 5% level of significance.
State the null and alternative hypotheses.
O H,: u < 5.96 versus H: u > 5.96
O H,: u = 5.96 versus H.: u + 5.96
O Ho: u = 5.96 versus H: µ > 5.96
Ο Η,: μ 5.96 versus H,: μ < 5.96
O Ho: u # 5.96 versus H,: µ = 5.96
Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
test statistic
z =
rejection region
z >
z <
State your conclusion.
O H, is not rejected. There is sufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm.
O H, is rejected. There is insufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm.
O H, is not rejected. There is insufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm.
O H, is rejected. There is sufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm.
Transcribed Image Text:Some sports that involve a significant amount of running, jumping, or hopping put participants at risk for Achilles tendon injuries. A study looked at the diameter (in mm) of the injured tendons for patients who participated in these types of sports activities. Suppose that the Achilles tendon diameters in the general population have a mean of 5.96 millimeters (mm). When the diameters of the injured tendon were measured for a random sample of 31 patients, the average diameter was 9.50 mm with a standard deviation of 1.95 mm. Is there sufficient evidence to indicate that the average diameter of the tendon for patients with Achilles tendon injuries is greater than 5.96 mm? Test at the 5% level of significance. State the null and alternative hypotheses. O H,: u < 5.96 versus H: u > 5.96 O H,: u = 5.96 versus H.: u + 5.96 O Ho: u = 5.96 versus H: µ > 5.96 Ο Η,: μ 5.96 versus H,: μ < 5.96 O Ho: u # 5.96 versus H,: µ = 5.96 Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) test statistic z = rejection region z > z < State your conclusion. O H, is not rejected. There is sufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm. O H, is rejected. There is insufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm. O H, is not rejected. There is insufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm. O H, is rejected. There is sufficient evidence to indicate that the average diameter of the tendon for patients with AT is greater than 5.96 mm.
Expert Solution
steps

Step by step

Solved in 4 steps

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