Question

The paint used to make lines on roads must reflect enough light to be clearly visible at night. Lot u denote the true average reflectometer reading for a new type of paint under consideration. A test of Ho: μ-20 versus Ha μ > 20 will be based on a random sample of size n from a normal population distribution what core us is appropriate in each of the following situations? (Round your P-values to three decimal places.) (a) ,, = 18, t = 3.1,α-0.05 value State the conclusion in the problem context Do not reject the null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflecto neter 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 O 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 (b) n10, 1.7, a0.01 р.valué 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 Reject the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectomater reading higher than 20 t the null hypothesis. There is sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. e null hypothesis. There is not sufficient evidence to conclude that the new paint has a reflectometer reading higher than 20. e Do not reject th (c) n-21, t=ー0.2 -value -

Answer 1

This is a one tailed test a)p- value for t 3.1 with df-n-1-18-1-17 is 0.003, Since p-value is < α,we reject Ho b) p-value for t = 1.7 with df = n-1-10-1 = 9 is 0.062. Since p-value is > α,do not reject Ho c) p-value for t =-0.2 with df = n-1 = 21-1 = 20 is 0.578