The paint used to make lines on roads must reflect enough light to be clea y v s

Question

The paint used to make lines on roads must reflect enough light to be clea y v sible et night. Let denote the true average re ecto meter reading for a new type of paint under consideration. A test of H of size n from a normal population distribution, What cond usion is appropriate in each of the following situations? (Round your P.values to three decimal places.) = 20 versus Ho > 20 will be based on random sample (a) -18, t-3.3, a " 0.05 p-value = 0 State the condusion 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 not sufficient cvicence to condude that the new paint has a reflectomcter reading higher than 20. o Reject the null hypothesis. There is sufficient evidence to condude 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. (b) n = 7, t = 1.8, = 0.01 Pval- State the condlusion in the context Reject the null hypothesis. There is not sufficient evidence to condude that the new paint has a reflectometer reading higher than 20 Reject the null hypothesis. There is suficient evidence to conclude that the new paint has a reflectometer reading higher than 20. o Do not reject the null hypothesis. Thare is not sufficient evidence to conclude that tha new paint has a reflectometer reading higher than 20 Do nat reject the null hypothesis. There is sufficient cvidence to concludc that the new paint has a reflectomcter reading higher than 20. (c) n-27,t--0.7 P-value 0 State the condlusion 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. Reject the null hypothesis. There is not sufficient evidence to condude 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. 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

a) For n-1 = 17 degrees of freedom, we get the p-value from the t distribution tables as:

p = P( t17 > 3.3) = 0.0021

Therefore 0.0021 is the required p-value here.

b) For n-1 = 6 degrees of freedom, the p-value here is computed from the t distribution tables as:

p = P( t6 > 1.8) = 0.0610

Therefore 0.0610 is the required p-value here.

c) For n-1 = 26 degrees of freedom, we get from the t distribution tables that:

p = P( t26 > -0.7 )= 0.7549

Therefore 0.7549 is the p-value here.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.