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The average mpg usage for a 2017 Toyota Prius for a sample of 16 tanks of gas was 44.5 with a standard deviation of 2.3. For a 2017 Ford Fusion, the average mpg usage for a sample of 16 tanks of gas was 41.7 with a standard deviation of 2.8. Assuming equal variances, at a = .05, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. a. He: Htoy - ford 50 vs. H₁: Htay - Hford > 0. Reject Hy if tcalc>1.697 b. He Htoy-Hford SO vs. H₁: Htoy -Hford > 0. Reject Hy if calc<1.697 He Htoy -Hford 20 vs. H₁: Htoy -Hford <0. Reject He if tcalc<-1.697 d. He: Htoy -Hford 20 vs. H₁: Htoy-Hford <0. Reject He if tcalc> -1.697 c. Ob Oc Od (a-2) Calculate the tealc- (Round your answer to 4 decimal places.) fcalc (a-3) Based on the calc determined, choose the correct decision. Fail to reject the null hypothesis Reject the null hypothesis (a-4) is the true mean mpg lower for the Ford Fusion? Yes O No p-value (b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)

The average mpg usage for a 2017 Toyota Prius for a sample of 16 tanks of gas was 44.5 with a standard deviation of 2.3. For a 2017 Ford Fusion, the average mpg usage for a sample of 16 tanks of gas was 41.7 with a standard deviation of 2.8. Assuming equal variances, at a = .05, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. a. He: Htoy - ford 50 vs. H₁: Htay - Hford > 0. Reject Hy if tcalc>1.697 b. He Htoy-Hford SO vs. H₁: Htoy -Hford > 0. Reject Hy if calc<1.697 He Htoy -Hford 20 vs. H₁: Htoy -Hford <0. Reject He if tcalc<-1.697 d. He: Htoy -Hford 20 vs. H₁: Htoy-Hford <0. Reject He if tcalc> -1.697 c. Ob Oc Od (a-2) Calculate the tealc- (Round your answer to 4 decimal places.) fcalc (a-3) Based on the calc determined, choose the correct decision. Fail to reject the null hypothesis Reject the null hypothesis (a-4) is the true mean mpg lower for the Ford Fusion? Yes O No p-value (b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The average mpg usage for a 2017 Toyota Prius for a sample of 16 tanks of gas was 44.5 with a standard deviation of 2.3. For a 2017 Ford Fusion, the average mpg usage for a sample of 16 tanks of gas was 41.7 with a standard deviation of 2.8. Assuming equal variances, at a = .05, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. a. He: Htoy - ford 50 vs. H₁: Htoy - ford > 0. Reject Hy if tcalc > 1.697 b. Hg: Htoy -Hford 50 vs. H₁: Htoy - Hford > 0. Reject Hy if tcalc<1.697 c. He Htoy-Hford 20 vs. H₁: Htoy - Hford <0. Reject H₂ if calc<-1.697 d. He: Htoy-ford 20 vs. H₁: Htoy - Hford<0. Reject He if tcalc>- 1.697 Ob Oc (a-2) Calculate the tealc- (Round your answer to 4 decimal places.) toalo (a-3) Based on the calc determined, choose the correct decision. O Fail to reject the null hypothesis Reject the null hypothesis (a-4) is the true mean mpg lower for the Ford Fusion? Yes O No (b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.) p-value
Transcribed Image Text:The average mpg usage for a 2017 Toyota Prius for a sample of 16 tanks of gas was 44.5 with a standard deviation of 2.3. For a 2017 Ford Fusion, the average mpg usage for a sample of 16 tanks of gas was 41.7 with a standard deviation of 2.8. Assuming equal variances, at a = .05, is the true mean mpg lower for the Ford Fusion? (a-1) Choose the appropriate hypotheses. a. He: Htoy - ford 50 vs. H₁: Htoy - ford > 0. Reject Hy if tcalc > 1.697 b. Hg: Htoy -Hford 50 vs. H₁: Htoy - Hford > 0. Reject Hy if tcalc<1.697 c. He Htoy-Hford 20 vs. H₁: Htoy - Hford <0. Reject H₂ if calc<-1.697 d. He: Htoy-ford 20 vs. H₁: Htoy - Hford<0. Reject He if tcalc>- 1.697 Ob Oc (a-2) Calculate the tealc- (Round your answer to 4 decimal places.) toalo (a-3) Based on the calc determined, choose the correct decision. O Fail to reject the null hypothesis Reject the null hypothesis (a-4) is the true mean mpg lower for the Ford Fusion? Yes O No (b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.) p-value
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