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 > 2.552H0: μtoy − μford ≤ 0 vs. H1: μtoy − μford > 0. Reject H0 if tcalc < 2.552H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc < −2.552H0: μtoy − μford ≥ 0 vs. H1: μtoy − μford < 0. Reject H0 if tcalc > −2.552multiple choice 1abcd (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 2Fail to reject the null hypothesisReject the null hypothesis (a-4) Is the true mean mpg lower for the Ford Fusion? multiple choice 3YesNo (b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)

The question is about hypo. testing Given : Total no. of tanks of gas of company " T " ( n1 ) = 10…

Answered: The average mpg usage for a 2017 Toyota…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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: μ_toy − μ_ford ≤ 0 vs. H₁: μ_toy − μ_ford > 0. Reject H₀ if t_calc > 2.552
H₀: μ_toy − μ_ford ≤ 0 vs. H₁: μ_toy − μ_ford > 0. Reject H₀ if t_calc < 2.552
H₀: μ_toy − μ_ford ≥ 0 vs. H₁: μ_toy − μ_ford < 0. Reject H₀ if t_calc < −2.552
H₀: μ_toy − μ_ford ≥ 0 vs. H₁: μ_toy − μ_ford < 0. Reject H₀ if t_calc > −2.552