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In: Statistics and Probability

R. Stichler et al. compared two methods of measuring treadwear in a paper. Eleven tires were...

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.

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Expert Solution

orchestra answered 2 years ago
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