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5. The manufacturer of a gasoline additive claims that the use of this additive increases gasoline mileage. A random sample of six cars was selected, and these cars were driven for 1 week without the gasoline additive and then for 1 week with the gasoline additive. The following table gives the miles per gallon for these cars without and with the gasoline additive. Without 24.6 28.3 18.9 23.7 15.4 29.5 26.3 31.7 18.2 25.3 18.3 30.9 With Assume that the population of paired differences is (approximately) normally distributed. a) Construct a 99% confidence interval for the mean μ of the population of paired differences, where a paired difference is equal to the miles per gallon without the gasoline additive minus the miles per gallon with the gasoline additive. b) Using a 2.5% significance level, can you conclude that the use of the gasoline additive increases the gasoline mileage? Use the Critical Value Approach.

5. The manufacturer of a gasoline additive claims that the use of this additive increases gasoline mileage. A random sample of six cars was selected, and these cars were driven for 1 week without the gasoline additive and then for 1 week with the gasoline additive. The following table gives the miles per gallon for these cars without and with the gasoline additive. Without 24.6 28.3 18.9 23.7 15.4 29.5 26.3 31.7 18.2 25.3 18.3 30.9 With Assume that the population of paired differences is (approximately) normally distributed. a) Construct a 99% confidence interval for the mean μ of the population of paired differences, where a paired difference is equal to the miles per gallon without the gasoline additive minus the miles per gallon with the gasoline additive. b) Using a 2.5% significance level, can you conclude that the use of the gasoline additive increases the gasoline mileage? Use the Critical Value Approach.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 82E
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5. The manufacturer of a gasoline additive claims that the use of this additive increases gasoline mileage. A random sample of six cars was selected, and these cars were driven for 1 week without the gasoline additive and then for 1 week with the gasoline additive. The following table gives the miles per gallon for these cars without and with the gasoline additive. Without With 24.6 28.3 18.9 23.7 15.4 26.3 31.7 18.2 25.3 18.3 29.5 30.9 Assume that the population of paired differences is (approximately) normally distributed. a) Construct a 99% confidence interval for the mean a of the population of paired differences, where a paired difference is equal to the miles per gallon without the gasoline additive minus the miles per gallon with the gasoline additive. b) Using a 2.5% significance leve can you conclude that the use of the gasoline additive increases the gasoline mileage? Use the Critical Value Approach.
Transcribed Image Text:5. The manufacturer of a gasoline additive claims that the use of this additive increases gasoline mileage. A random sample of six cars was selected, and these cars were driven for 1 week without the gasoline additive and then for 1 week with the gasoline additive. The following table gives the miles per gallon for these cars without and with the gasoline additive. Without With 24.6 28.3 18.9 23.7 15.4 26.3 31.7 18.2 25.3 18.3 29.5 30.9 Assume that the population of paired differences is (approximately) normally distributed. a) Construct a 99% confidence interval for the mean a of the population of paired differences, where a paired difference is equal to the miles per gallon without the gasoline additive minus the miles per gallon with the gasoline additive. b) Using a 2.5% significance leve can you conclude that the use of the gasoline additive increases the gasoline mileage? Use the Critical Value Approach.
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