A solar power engineer took a random sample of houses and installed the same type of solar panels using two different methods on each house to investigate whether there is a mean difference in the angles of installation between the two methods for all houses in the population of interest. The engineer found the sample mean difference between the two methods to be 0.2 degree and the p-value for a two-sided matched-pairs t-test for the mean difference to be 0.65. Assuming the conditions for inference are met, which of the following statements is the best interpretation of the p -value? (A) The probability that the null hypothesis is true is 0.65. (B) If the null hypothesis is true, the probability is 0.65 of observing a mean difference of 0.2 degree or -0.2 (C) (D) (E) degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree or less than -0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of less than -0.2 degree.

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 solar power engineer took a random sample of houses and installed the same type of solar panels using two
different methods on each house to investigate whether there is a mean difference in the angles of installation
between the two methods for all houses in the population of interest. The engineer found the sample mean
difference between the two methods to be 0.2 degree and the p-value for a two-sided matched-pairs t-test for the
mean difference to be 0.65.
Assuming the conditions for inference are met, which of the following statements is the best interpretation of the p
-value?
(A) The probability that the null hypothesis is true is 0.65.
(B) If the null hypothesis is true, the probability is 0.65 of observing a mean difference of 0.2 degree or -0.2
(C)
(D)
(E)
degree.
If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2
degree or less than -0.2 degree.
If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2
degree.
If the null hypothesis is true, the probability is 0.65 of observing a mean difference of less than -0.2
degree.
Transcribed Image Text:A solar power engineer took a random sample of houses and installed the same type of solar panels using two different methods on each house to investigate whether there is a mean difference in the angles of installation between the two methods for all houses in the population of interest. The engineer found the sample mean difference between the two methods to be 0.2 degree and the p-value for a two-sided matched-pairs t-test for the mean difference to be 0.65. Assuming the conditions for inference are met, which of the following statements is the best interpretation of the p -value? (A) The probability that the null hypothesis is true is 0.65. (B) If the null hypothesis is true, the probability is 0.65 of observing a mean difference of 0.2 degree or -0.2 (C) (D) (E) degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree or less than -0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of greater than 0.2 degree. If the null hypothesis is true, the probability is 0.65 of observing a mean difference of less than -0.2 degree.
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

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