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 n ht Let denote the true average reflectometer reading or a new type of paint under consideration. A test o sample of size n from a normal population distribution. What conclusion is appropriate in each of the following situations? (Round your P-values to three decimal places.) H0: = 20 versus Ha: > 20 will be based on a random (a) n-16, t-3.1, -0.05 p-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 refiectometer 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. Tere is not sufficient cvidence to conclude that the new paint has a rofect meter reading higher th n 20. 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 = 9, t = 1.8, = 0.01 P-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. 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 refiectometer reading higher than 20. (c)23,t-0.3 State the conclusion in the problem context. o 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 not sufficient evidence to conclude that the new paint has a refiectometer 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. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20

Explanation / Answer

(A)
n = 16
t = 3.1

p-value = 0.003658

Reject the null hypothesis (Option B)

(B)
p-value = 0.05477

Do not reject null hypothesis (option D)

(C)
p-value = 0.6165

Do no reject null hypothesis (Option D)

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