Use the t-distribution and the sample results to complete the test of the hypotheses.

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
icon
Concept explainers
Question
Use the t-distribution and the sample results to complete the test of the hypotheses.
Use a 5% significance level. Assume the results come from a random sample, and if the
sample size is small, assume the underlying distribution is relatively normal.
Test Ho: u=109.2 vs H,: u<109.2using the sample results x= 105.1, s = 15.5,
with n=100.
A The p-value is 0.452. The p-value is larger than any reasonable significance level, so we find
enough evidence to support the alternative hypothesis.
B The p-value is 0.096. The p-value is larger than the significance level of 0.05, so we do not
reject the null hypothesis and do not find sufficient evidence to support the alternative.
C The p-value is 0.0048. The p-value is very small, and below any reasonable significance
level. There is no evidence to support the alternative hypothesis.
DThe p-value is 0.096. The p-value is larger than the significance level of 0.05, so we rejeet
the null hypothesis and find sufficient evidence to support the alternative.
E The p-value is 0.0048. The p-value is very small, and below any reasonable significance
level. There is strong evidence to support the alternative hypothesis.
Transcribed Image Text:Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal. Test Ho: u=109.2 vs H,: u<109.2using the sample results x= 105.1, s = 15.5, with n=100. A The p-value is 0.452. The p-value is larger than any reasonable significance level, so we find enough evidence to support the alternative hypothesis. B The p-value is 0.096. The p-value is larger than the significance level of 0.05, so we do not reject the null hypothesis and do not find sufficient evidence to support the alternative. C The p-value is 0.0048. The p-value is very small, and below any reasonable significance level. There is no evidence to support the alternative hypothesis. DThe p-value is 0.096. The p-value is larger than the significance level of 0.05, so we rejeet the null hypothesis and find sufficient evidence to support the alternative. E The p-value is 0.0048. The p-value is very small, and below any reasonable significance level. There is strong evidence to support the alternative hypothesis.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Continuous Probability Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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