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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 α = .01, is the true mean mpg lower for the Ford Fusion?   (a-1) Choose the appropriate hypotheses.   H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc > 2.552 H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc < 2.552 H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc < −2.552 H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc > −2.552 multiple choice 1 a b c d   (a-2) Calculate the tcalc. (Round your answer to 4 decimal places.)       (a-3) Based on the t-value 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.)

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 α = .01, is the true mean mpg lower for the Ford Fusion?   (a-1) Choose the appropriate hypotheses.   H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc > 2.552 H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc < 2.552 H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc < −2.552 H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc > −2.552 multiple choice 1 a b c d   (a-2) Calculate the tcalc. (Round your answer to 4 decimal places.)       (a-3) Based on the t-value 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.)

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 α = .01, is the true mean mpg lower for the Ford Fusion?
 
(a-1) Choose the appropriate hypotheses.
 

  1. H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc > 2.552
  2. H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc < 2.552
  3. H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc < −2.552
  4. H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc > −2.552


multiple choice 1

  • a
  • b
  • c
  • d


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

 


 
(a-3) Based on the t-value 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.)

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