The paint used to make lines on roads must reflect enough light to be clearly visible at night. let μ denote the true average reflectometer reading for a new type of paint under consideration. a test of h0: μ = 20 versus ha: μ > 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.) (a) n = 13, t = 3.2, α = 0.05

We conclude that average reflectometer reading for a new type of paint is greater than 20

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 20

Sample size, n = 13

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

Formula:

Degree of freedom = n - 1 = 13 - 1 = 12

Now, we calculate the p-value with the help of standard table.

P-value = 0.004

Since, the p-value is less than the significance level, we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support that average reflectometer reading for a new type of paint is greater than 20

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1.0

step-by-step explanation: