2. A sport trainer wants to know whether the true average time of his athlete who do 100 - meter sprint is 98 seconds. He recorded 18 trials of his team and found that the average time is 98.2 seconds with a standard deviation of 0.4 second. Is there sufficient evidence to reject the null hypothesis if µ = 98 seconds at the 0.05 level of significance? A Test statintio

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
A sport trainer wants to know whether the true average time of his athlete who do 100 - meter
sprint is 98 seconds. He recorded 18 trials of his team and found that the average time is 98.2
seconds with a standard deviation of 0.4 second. Is there sufficient evidence to reject the null
hypothesis if µ = 98 seconds at the 0.05 level of significance?
A. Test statistic t = 2.1213 is a value greater than the critical value t, = + 2.110. Hence, the test
value is clearly in the critical region. Thus, we decide to reject the null hypothesis.
B. Test statistic t
value is clearly outside the critical region. Thus, we decide to reject the null hypothesis.
C. Test statistic t = 2.1213 is a value greater than the critical value ta = + 2.110. Hence, the test
value is clearly in the critical region. Thus, we decide to accept the null hypothesis.
D. Test statistic t = - 2.1213 is a value lesser than the critical value t = + 2.110. Hence, the test
value is clearly outside the critical region. Thus, we decide to accept the nuill hypothesis.
2.
%3D
%3D
- 2.1213 is a value lesser than the critical value t, = + 2.110. Hence, the test
Transcribed Image Text:A sport trainer wants to know whether the true average time of his athlete who do 100 - meter sprint is 98 seconds. He recorded 18 trials of his team and found that the average time is 98.2 seconds with a standard deviation of 0.4 second. Is there sufficient evidence to reject the null hypothesis if µ = 98 seconds at the 0.05 level of significance? A. Test statistic t = 2.1213 is a value greater than the critical value t, = + 2.110. Hence, the test value is clearly in the critical region. Thus, we decide to reject the null hypothesis. B. Test statistic t value is clearly outside the critical region. Thus, we decide to reject the null hypothesis. C. Test statistic t = 2.1213 is a value greater than the critical value ta = + 2.110. Hence, the test value is clearly in the critical region. Thus, we decide to accept the null hypothesis. D. Test statistic t = - 2.1213 is a value lesser than the critical value t = + 2.110. Hence, the test value is clearly outside the critical region. Thus, we decide to accept the nuill hypothesis. 2. %3D %3D - 2.1213 is a value lesser than the critical value t, = + 2.110. Hence, the test
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
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