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6. Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in km/l) was measured. Is there evidence that radial tires produce better fuel economy? Use a=0.05. Car 1 2 3 4 5 6 7 10 11 12 Radial 4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 5.2 Belted 4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 a. Is this a paired test? Explain why or why not. b. State the null and alternative hypotheses for this situation. c. What is the p-value for this hypothesis test? d. State a significance level at which the decision from part (c) would change. e. Calcuate a 95% confidence interval for the mean difference between tires' fuel economy.

6. Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in km/l) was measured. Is there evidence that radial tires produce better fuel economy? Use a=0.05. Car 1 2 3 4 5 6 7 10 11 12 Radial 4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 5.2 Belted 4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 a. Is this a paired test? Explain why or why not. b. State the null and alternative hypotheses for this situation. c. What is the p-value for this hypothesis test? d. State a significance level at which the decision from part (c) would change. e. Calcuate a 95% confidence interval for the mean difference between tires' fuel economy.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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6. Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in km/l) was measured. Is there evidence that radial tires produce better fuel economy? Use a=0.05. Car 2 3 4 5 6 8 9 10 11 12 Radial 4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 5.2 Belted 4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 a. Is this a paired test? Explain why or why not. b. State the null and alternative hypotheses for this situation. c. What is the p-value for this hypothesis test? d. State a significance level at which the decision from part (c) would change. e. Calcuate a 95% confidence interval for the mean difference between tires' fuel economy.
Transcribed Image Text:6. Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in km/l) was measured. Is there evidence that radial tires produce better fuel economy? Use a=0.05. Car 2 3 4 5 6 8 9 10 11 12 Radial 4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 5.2 Belted 4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 a. Is this a paired test? Explain why or why not. b. State the null and alternative hypotheses for this situation. c. What is the p-value for this hypothesis test? d. State a significance level at which the decision from part (c) would change. e. Calcuate a 95% confidence interval for the mean difference between tires' fuel economy.
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