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: μtoy - μhon ≤ 0 vs. H1: μtoy - μhon > 0. Reject H0 if tcalc > 1.688b.
b.H0: μtoy - μhon ≤ 0 vs. H1: μtoy - μhon > 0. Reject H0 if tcalc < 1.688c.
c.H0: μtoy - μhon ≥ 0 vs. H1: μtoy - μhon < 0. Reject H0 if tcalc < - 1.688d.
d.H0: μtoy - μhon ≥ 0 vs. H1: μtoy - μhon < 0. Reject H0 if tcalc > - 1.688
(a-2) Calculate the tcalc. (Round your answer to 4 decimal places.)
(b) Calculate the p-value using Excel. (Round your answer to 4 decimal places.)