Question

Question 6

A study is done to compare tire wear on the right and left sides of the front of the car. A sample of six cars is chosen and the tire wear on the right and left front tire of each car is measured and the data is provided below. This is matched pair data. At the 0.05 level of significance test the claim that the tire wear is different on the right and left sides of the front of the car.

Right	42	75	24	56	52	56
Left	54	73	22	59	51	45

1) What is the correct null and alternative hypothesis test for this situation?                            [

a. H₀:  μ 1 = μ 2

H₁:  μ 1 ≠ μ 2

b. H₀:   μ d = 0

H₁:  μ d ≠ 0

c. H₀:   μ 1 = μ 2

H₁: μ 1 < μ 2

d. H₀:   μ d = 0

H₁:  μ d < 0

2. Find the p-value for this situation, round to four decimal places

3. What is the initial conclusion for the hypothesis test

4. State the conclusion to the hypothesis test from the previous question in a sentence. Be sure to state the conclusion in context.

Answer 1

Here we have data:

Right	Left	d = Right - Left
42	54	-12
75	73	2
24	22	2
56	59	-3
52	51	1
56	45	11