Question

R. Stichler et al. compared two methods of measuring treadwear in a paper. Eleven tires were each measured for treadwear by two methods: one based on weight, and the other on groove wear. The data, in thousands of miles, are in the table. Use the paired ?-test to answer the following: at the 5% significance level, do the data provide sufficient evidence to conclude that, on average, the two measurement methods give different results?

Weight Method ------------------- Groove Method -------------- Difference

30.5	28.7	1.8
30.9	25.9	5
31.9	23.3	8.6
30.4	23.1	7.3
27.3	23.7	3.6
20.4	20.9	-.5
24.5	16.1	8.4
20.9	19.9	1
18.9	15.2	3.7
13.7	11.5	2.2
11.4	11.2	.2

a. Hypotheses: ?0: ________________ ??: __________________

b. Compute the test statistic:

c. Determine the ?-value.

d. Reject null?

e. Interpret your result in a sentence.

Thank You! I hope you're staying safe through this crazy time.

Answer 1