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 Groove

Method 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 -.05

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