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.
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
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