In: Statistics and Probability
Ramp metering is a traffic engineering idea that requires cars entering a freeway to stop for a certain period of time before joining the traffic flow. The theory is that ramp metering controls the number of cars on the freeway and the number of cars accessing the freeway, resulting in a freer flow of cars, which ultimately results in faster travel times. To test whether ramp metering is effective in reducing travel times, engineers conducted an experiment in which a section of freeway had ramp meters installed on the on-ramps. The response variable for the study was speed of the vehicles. A random sample of 15 cars on the highway for a Monday at 6 p.m. with the ramp meters on and a second random sample of 15 cars on a different Monday at 6 p.m. with the meters off resulted in the following speeds (in miles per hour).
Ramp_Meters_On Ramp_Meters_Off
27 24
38 33
43 47
35 29
42 37
47 25
32 36
47 39
56 22
27 51
57 41
26 31
51 17
40 41
46 42
Determine the P-value for this test.
P-value equals=.? (Round to three decimal places as needed.)