Reference no: EM131753580

The average mpg usage for a 2009 Toyota Prius for a sample of 19 tanks of gas was 45.0 with a standard deviation of 1.7. For a 2009 Honda Insight, the average mpg usage for a sample of 19 tanks of gas was 42.4 with a standard deviation of 2.1.

Assuming equal variances, at α = 0.05, is the true mean mpg lower for the Honda Insight? 

(a-1) Choose the appropriate hypotheses. 

a.H₀: μ_toy - μ_hon ≤ 0 vs. H₁: μ_toy - μ_hon > 0. Reject H₀ if t_calc > 1.688b.

b.H₀: μ_toy - μ_hon ≤ 0 vs. H₁: μ_toy - μ_hon > 0. Reject H₀ if t_calc < 1.688c.

c.H₀: μ_toy - μ_hon ≥ 0 vs. H₁: μ_toy - μ_hon < 0. Reject H₀ if t_calc < - 1.688d.

d.H₀: μ_toy - μ_hon ≥ 0 vs. H₁: μ_toy - μ_hon < 0. Reject H₀ if t_calc > - 1.688

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

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