The paint used to make lines on roads must reflect enough light to be clearly vi
ID: 3311628 • 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 reflect meter reading or a new type o paint under consideration. A test o Ho 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.) ! 20 versus H : > 20 will be (a) n-11, t-3.1, -0.05 P-value State the conclusion in the problem context. O Reject the null hypothesis. There is not sufficient evidence to conclude 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. Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. O 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, a = 0.01 p-value = State the conclusion in the problem context. o Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. o Reject the null hypothesis. There is not sufficient evidence to conclude 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 (c) 27, t-0.6 P-value State the conclusion in the problem context. Reject the null hypothesis. There is suflicient evidence to conclude that the new paint has a reflectometer reading higher than 20 Reject the null hypothesis. There ls 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. O 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
Ans:
a)n=11
df=11-1=10
t=3.1
p-value=TDIST(3.1,10,1)=0.006
As,p-value<0.05,we reject null hypothesis.
There is sufficient evidence to conclude that new paint has a refloctometer reading higher than 20.
(third option is correct)
b)n=7
df=7-1=6
t=1.8
p-value=TDIST(1.8,6,1)=0.061
As,p-value>0.01,we do not reject null hypothesis.
There is not sufficient evidence to conclude that new paint has a refloctometer reading higher than 20.
(third option is correct)
c)n=27
df=27-1=26
t=-0.6
p-value=1-TDIST(0.6,26,1)=0.723
p-value is >0.1,so do not reject null hypothesis.
There is not sufficient evidence to conclude that new paint has a refloctometer reading higher than 20.
(third option is correct)
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