Question

A new gasoline additive is supposed to make gas burn more cleanly and increase gas mileage in the process. Consumer Protection Anonymous conducted a mileage test to confirm this. They took a sample of their cars, filled it with regular gas, and drove it on I-94 until it was empty. They repeated the process using the same cars, but using the gas additive. Using the data they found, they performed a paired t-test with data calculated as (with additive - without additive) with the following hypotheses: Null Hypothesis: μ_D = 0, Alternative Hypothesis: μ_D ≠ 0. If they calculate a p-value of 0.0201 in the paired samples t-test, what is the appropriate conclusion?

Answer 1

notr: if significance vlaue alpha not given taken alphs = 0.05