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The average mpg usage for a 2017 Toyota Prius for a sample of 10 tanks of gas was 45.5 with a standard deviation of 1.8. For a 2017 Ford Fusion, the average mpg usage for a sample of 10 tanks of gas was 42.0 with a standard deviation of 2.3. Assuming equal variances, at a = .01, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. a. He: Htoy-ford ≤0 vs. H₁: Htoy - ford > 0. Reject H₂ if tcalc > 2.552 b. H₂-Htoy - ford ≤0 vs. H₁: Htoy - Hford > 0. Reject H₂ if tcalc <2.552 c. Hg- Htoy - ford 20 vs. H₁: Htoy - ford <0. Reject Hå if tcalc <-2.552 d. He: Htoy - ford 20 vs. H₁: Htoy - Hford <0. Reject H₂ if tcalc > -2.552 a tcalc Oc Od (a-2) Calculate the calc- (Round your answer to 4 decimal places.)

The average mpg usage for a 2017 Toyota Prius for a sample of 10 tanks of gas was 45.5 with a standard deviation of 1.8. For a 2017 Ford Fusion, the average mpg usage for a sample of 10 tanks of gas was 42.0 with a standard deviation of 2.3. Assuming equal variances, at a = .01, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. a. He: Htoy-ford ≤0 vs. H₁: Htoy - ford > 0. Reject H₂ if tcalc > 2.552 b. H₂-Htoy - ford ≤0 vs. H₁: Htoy - Hford > 0. Reject H₂ if tcalc <2.552 c. Hg- Htoy - ford 20 vs. H₁: Htoy - ford <0. Reject Hå if tcalc <-2.552 d. He: Htoy - ford 20 vs. H₁: Htoy - Hford <0. Reject H₂ if tcalc > -2.552 a tcalc Oc Od (a-2) Calculate the calc- (Round your answer to 4 decimal places.)

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The average mpg usage for a 2017 Toyota Prius for a sample of 10 tanks of gas was 45.5 with a standard deviation of 1.8. For a 2017 Ford Fusion, the average mpg usage for a sample of 10 tanks of gas was 42.0 with a standard deviation of 2.3. Assuming equal variances, at a = .01, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. a. Ho: Mtoy - b. Hg: Htoy - c. Ho: Mtoy - d. Hg: Htoy - Oa tcalc Oc Od ford ≤0 vs. H₁: Htoy - ford > 0. Reject H₂ if tcalc > 2.552 ford ≤0 vs. H₁: Htoy - Hford > 0. Reject H₂ if tcalc <2.552 ford 20 vs. H₁: Htoy - ford O. Reject Ho if tcalc < -2.552 ford 20 vs. H₁: Mtoy - ford <0. Reject He if tcalc > -2.552 (a-2) Calculate the calc- (Round your answer to 4 decimal places.)
Transcribed Image Text:The average mpg usage for a 2017 Toyota Prius for a sample of 10 tanks of gas was 45.5 with a standard deviation of 1.8. For a 2017 Ford Fusion, the average mpg usage for a sample of 10 tanks of gas was 42.0 with a standard deviation of 2.3. Assuming equal variances, at a = .01, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. a. Ho: Mtoy - b. Hg: Htoy - c. Ho: Mtoy - d. Hg: Htoy - Oa tcalc Oc Od ford ≤0 vs. H₁: Htoy - ford > 0. Reject H₂ if tcalc > 2.552 ford ≤0 vs. H₁: Htoy - Hford > 0. Reject H₂ if tcalc <2.552 ford 20 vs. H₁: Htoy - ford O. Reject Ho if tcalc < -2.552 ford 20 vs. H₁: Mtoy - ford <0. Reject He if tcalc > -2.552 (a-2) Calculate the calc- (Round your answer to 4 decimal places.)
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