The paint used to make lines on roads must reflect enough ght to be clearly visi

Question

The paint used to make lines on roads must reflect enough ght to be clearly visible at night. Let denote the true average reflectometer reading or a new type of paint under consideration. A test of Ho: urn 20 versus > 20 ill be based on a random sample of size n rom a normal population distribut on what conclusion is appro rate inca decimal places.) the following situations und a esto (a) n- 16, t -3.3, a 0.05 p-value - State the conclusion in the problem context. 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 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. I here is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. (b) n = 7, t = 1.7, -0.01 p-value = State the conclusion in the problem context 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. Reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectormeter 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 (c) n 25, t-0. 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 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 sufticient evidence to conclude that the new paint has a reflectometer reading higher than 20

Explanation / Answer

a) p-value = P(t > 3.3) = 0.002

p-value is less than alpha, hence correct option is the second one.

b) p-value = P(t > 1.7) = 0.07

P-value is greater than alpha, hence correct option is the first one.

c) p-value = P(t > -0.6) = 0.28

P-VALUE value is much large.

Hence the correct option is the third one.

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