Only need part C. The paint used to make lines on roads must reflect enough ligh
ID: 3389436 • Letter: O
Question
Only need part C.
The paint used to make lines on roads must reflect enough light to be clearly visible at night. Let n denote the true average reflectometer reading for a new type of paint under consideration. A test of H0: mu = 20 versus Ha: mu > 20 will be based on a random 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.) n = 15, t = 3.3, alpha = 0.05 P-value = .003 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. 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. Do not reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. n = 9, t = 1.7, alpha = 0.01 P-value = .064 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. 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. n = 29, t = -0.2 P-value = .577 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.Explanation / Answer
a)
Null, H0: U=20
Alternate, H1: U>20
to =3.3
| to | =3.3
Critical Value
The Value of |t | with n-1 = 17 d.f is 1.74
We got |to| =3.3 & | t | =1.74
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
b)
to =1.6
| to | =1.6
Critical Value
The Value of |t | with n-1 = 9 d.f is 2.821
We got |to| =1.6 & | t | =2.821
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho
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)
to =-0.5
P-Value :Right Tail - Ha : ( P > -0.5 ) = 0.68898
Hence Value of P0.01 < 0.68898,Here We Do not Reject Ho
Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20.
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