MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Need help with the blanks, tcalc and pvalue

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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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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