The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let u denote the true average reflectometer reading for a new type of paint under consideration. A test of Hn: u = 20 versus H: u > 20 will be based on a random sample of size n from a normal population distribution. What conclusion isappropriate in each of the following situations? (Round your P-values to three decimal places.)A USE SALT(a) n = 13,t = 3.1, a = 0.05P-value =State the conclusion in the problem context.O Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.O Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.O Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.(b) n = 7, t = 1.6, a = 0.01P-value =State the conclusion in the problem context.O Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.O Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.O Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.(c) n= 28, t = -0.4P-value =State the conclusion in the problem context.O Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.O Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.O Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.

Decision rule : Reject Ho if P-value ≤ significance level α, otherwise fail to reject.

Answered: The paint used to make lines on roads…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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