The paint used to make lines on roads must reflect enough lightto be clearly visible at night. Let μ denote the trueaverage reflectometer reading for a new type of paint underconsideration. A test of H0: μ = 20versus Ha: μ > 20 will be based ona random sample of size n from a normal populationdistribution. What conclusion is appropriate in each of thefollowing situations? (Round your P-values to threedecimal places.)
(a)    n = 15, t = 3.3,α = 0.05
P-value =
State the conclusion in the problem context.
Reject the null hypothesis. There is not sufficient evidence toconclude that the new paint has a reflectometer reading higher than20.
Reject the null hypothesis. There is sufficient evidence toconclude that the new paint has a reflectometer reading higher than20. ÂÂ
  Do not reject the null hypothesis. There issufficient evidence to conclude that the new paint has areflectometer reading higher than 20.
Do not reject the null hypothesis. There is not sufficientevidence to conclude that the new paint has a reflectometer readinghigher than 20.
(b)    n = 9, t = 1.7,α = 0.01
P-value =
State the conclusion in the problem context.
Reject the null hypothesis. There is not sufficient evidence toconclude that the new paint has a reflectometer reading higher than20.
Do not reject the null hypothesis. There is sufficient evidenceto conclude that the new paint has a reflectometer reading higherthan 20.   ÂÂ
Do not reject the null hypothesis. There is not sufficientevidence to conclude that the new paint has a reflectometer readinghigher than 20.
Reject the null hypothesis. There is sufficient evidence toconclude that the new paint has a reflectometer reading higher than20.
(c)    n = 29,
t = −0.3
P-value =
State the conclusion in the problem context.
Reject the null hypothesis. There is sufficient evidence toconclude that the new paint has a reflectometer reading higher than20.
Reject the null hypothesis. There is not sufficient evidence toconclude that the new paint has a reflectometer reading higher than20. ÂÂ
Do not reject the null hypothesis. There is not sufficientevidence to conclude that the new paint has a reflectometer readinghigher than 20.
Do not reject the null hypothesis. There is sufficient evidenceto conclude that the new paint has a reflectometer reading higherthan 20.
