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

ID: 3363891 • Letter: T

Question

The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let denote the true average reflectometer reading for a new type of paint under consideration. A test of Ho: = 20 versus Ha: 20 will be based on a random sample of size n from a normal population distribution. hat conclusion is appropriate in each of the following situations? (Round your P-values to three decimal places.) (a) n = 19, t = 3.3, = 0.05 P-value= .002 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 reflect meter reading igher than 20 Reject the null hypothesis. There is not sufficient evidence to concluce that the new paint has a renecton eter reading higher than 20. e 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 0.01 (b) n 10, t= 1.8, P-value053 State the conclusion in the problerm context. 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 sufficiernt 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 higner 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= 30, t=-0.2 P-value421

Explanation / Answer

c) Degrees of freedom = n - 1 = 30 - 1 = 29

Hence,

p - Value = P(t > -0.2) = 0.579

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