The paint used to make lines on roads must reflect enough light to be clearly vi

Question

The paint used to make lines on roads must reflect enough light to be clearly visible at night etu denote the true average reflect meter reading for a new e aint under consideration. A test of Ho: 20 versus H > 20 will be based on a random sample of size n from a norma population distribution what conclusion appropriate n each of the following situations? (Round your P-values to three decimal places.) (a) n = 11, t = 3.2, = 0.05 P-value- State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20 Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20 Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20 (b) n-10, t-1.6, a-0.01 P-value- State the conclusion in the problem context. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20 Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. (c) n-23, t=-0.5 P-value- State the conclusion in the problem context. Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20 Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.

Explanation / Answer

test if Ho : u=20, Ha: u>20

a.

n=11,t=3.2,alpha = 0.05

Critical Value

The Value of t at 0.05 LOS with n-1 = 10 is +1.812

P-Value : Right Tail - Ha :( P > 3.2) = 0.005

t > t then reject the null hypothesis

there is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20

b.

n= 10,t= 1.6,alpha = 0.01

Critical Value

The Value of t at 0.01 LOS with n-1 = 9 is +2.821

P-Value : Right Tail - Ha :( P > 1.6) = 0.072

t < t then do not reject the null hypothesis

there is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20

c.

n = 23,t = -0.5

Critical Value

The Value of t at 0.05 LOS with n-1 = 22 is +1.717

P-Value : Right Tail - Ha :( P > -0.5) = 0.689

t < t then do not reject the null hypothesis

there is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20

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