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.

Question

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.

Accepted Answer

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