t the null hypothesis (a-4) Is the true mean mpg lower for the Ford Fusion?    multiple choice 3 Yes No

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 7 tanks of gas was 43.5 with a standard deviation of 1.8. For a 2017 Ford Fusion, the average mpg usage for a sample of 7 tanks of gas was 39.9 with a standard deviation of 2.0.
 
Assuming equal variances, at α = .05, is the true mean mpg lower for the Ford Fusion?
 
(a-1) Choose the appropriate hypotheses.

  1. H0μtoy – μford ≤ 0 vs. H1μtoy – μford > 0. Reject H0 if tcalc > 1.782
  2. H0μtoy – μford ≤ 0 vs. H1μtoy – μford > 0. Reject H0 if tcalc < 1.782
  3. H0μtoy – μford ≥ 0 vs. H1μtoy – μford < 0. Reject H0 if tcalc < – 1.782
  4. H0μtoy – μford ≥ 0 vs. H1μtoy – μford < 0. Reject H0 if tcalc > – 1.782

  
multiple choice 1

  • a
  • b
  • c
  • d


 
(a-2) Calculate the tcalc(Round your answer to 4 decimal places.)
 

tcalc            ________
 
(a-3) Based on the tcalc determined, choose the correct decision.
  
multiple choice 2

  • Fail to reject the null hypothesis
  • Reject the null hypothesis



(a-4) Is the true mean mpg lower for the Ford Fusion?
  
multiple choice 3

  • Yes
  • No


  
(b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)
 

p-value           _______

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,